research topics in mathematics for undergraduate

• Write my thesis
• Thesis writers
• Buy thesis papers
• Bachelor thesis
• Master's thesis
• Thesis editing services
• Thesis proofreading services
• Buy a thesis online
• Write my dissertation
• Dissertation proposal help
• Pay for dissertation
• Custom dissertation
• Dissertation help online
• Buy dissertation online
• Cheap dissertation
• Dissertation editing services
• Write my research paper
• Buy research paper online
• Pay for research paper
• Research paper help
• Order research paper
• Custom research paper
• Cheap research paper
• Research papers for sale
• Thesis subjects
• How It Works

181 Mathematics Research Topics From PhD Experts

If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.

And remember: if you need assistance from a professional, don’t hesitate to reach out to us. We are not just the best place for math research topics for high school students; we are also the number one choice for students looking for top-notch research paper writing services.

Our Newest Research Topics in Math

We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.

So, without further ado, here are the 181 brand new topics for your next math research paper:

Cool Math Topics to Research

Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:

• Roll two dice and calculate a probability
• Discuss ancient Greek mathematics
• Is math really important in school?
• Discuss the binomial theorem
• The math behind encryption
• Game theory and its real-life applications
• Analyze the Bernoulli scheme
• What are holomorphic functions and how do they work?
• Describe big numbers
• Solving the Tower of Hanoi problem

Undergraduate Math Research Topics

If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:

• Methods to count discrete objects
• The origins of Greek symbols in mathematics
• Methods to solve simultaneous equations
• Real-world applications of the theorem of Pythagoras
• Discuss the limits of diffusion
• Use math to analyze the abortion data in the UK over the last 100 years
• Discuss the Knot theory
• Analyze predictive models (take meteorology as an example)
• In-depth analysis of the Monte Carlo methods for inverse problems
• Squares vs. rectangles (compare and contrast)

Number Theory Topics to Research

Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:

• Discuss the greatest common divisor
• Explain the extended Euclidean algorithm
• What are RSA numbers?
• Discuss Bézout’s lemma
• In-depth analysis of the square-free polynomial
• Discuss the Stern-Brocot tree
• Analyze Fermat’s little theorem
• What is a discrete logarithm?
• Gauss’s lemma in number theory
• Analyze the Pentagonal number theorem

Math Research Topics for High School

High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:

• Discuss Brun’s constant
• An in-depth look at the Brahmagupta–Fibonacci identity
• What is derivative algebra?
• Describe the Symmetric Boolean function
• Discuss orders of approximation in limits
• Solving Regiomontanus’ angle maximization problem
• What is a Quadratic integral?
• Define and describe complementary angles
• Analyze the incircle and excircles of a triangle
• Analyze the Bolyai–Gerwien theorem in geometry
• Math in our everyday life

Complex Math Topics

If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:

• Mathematics and its appliance in Artificial Intelligence
• Try to solve an unsolved problem in math
• Discuss Kolmogorov’s zero-one law
• What is a discrete random variable?
• Analyze the Hewitt–Savage zero-one law
• What is a transferable belief model?
• Discuss 3 major mathematical theorems
• Describe and analyze the Dempster-Shafer theory
• An in-depth analysis of a continuous stochastic process
• Identify and analyze Gauss-Markov processes

Easy Math Research Paper Topics

Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:

• Define the hyperbola
• Do we need to use a calculator during math class?
• The binomial theorem and its real-world applications
• What is a parabola in geometry?
• How do you calculate the slope of a curve?
• Define the Jacobian matrix
• Solving matrix problems effectively
• Why do we need differential equations?
• Should math be mandatory in all schools?
• What is a Hessian matrix?

Logic Topics to Research

We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:

• Discuss the reductio ad absurdum approach
• Discuss Boolean algebra
• What is consistency proof?
• Analyze Trakhtenbrot’s theorem (the finite model theory)
• Discuss the Gödel completeness theorem
• An in-depth analysis of Morley’s categoricity theorem
• How does the Back-and-forth method work?
• Discuss the Ehrenfeucht–Fraïssé game technique
• Discuss Aleph numbers (Aleph-null and Aleph-one)
• Solving the Suslin problem

Algebra Topics for a Research Paper

Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:

• Discuss the differential equation
• Analyze the Jacobson density theorem
• The 4 properties of a binary operation in algebra
• Analyze the unary operator in depth
• Analyze the Abel–Ruffini theorem
• Epimorphisms vs. monomorphisms: compare and contrast
• Discuss the Morita duality in algebraic structures
• Idempotent vs. nilpotent in Ring theory
• Discuss the Artin-Wedderburn theorem
• What is a commutative ring in algebra?
• Analyze and describe the Noetherian ring

Math Education Research Topics

There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:

• What are the goals a mathematics professor should have?
• What is math anxiety in the classroom?
• Teaching math in UK schools: the difficulties
• Computer programming or math in high school?
• Is math education in Europe at a high enough level?
• Common Core Standards and their effects on math education
• Culture and math education in Africa
• What is dyscalculia and how does it manifest itself?
• When was algebra first thought in schools?
• Math education in the United States versus the United Kingdom

Computability Theory Topics to Research

Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:

• What is a multiplication table?
• Analyze the Scholz conjecture
• Explain exponentiating by squaring
• Analyze the Myhill-Nerode theorem
• What is a tree automaton?
• Compare and contrast the Pushdown automaton and the Büchi automaton
• Discuss the Markov algorithm
• What is a Turing machine?
• Analyze the post correspondence problem
• Discuss the linear speedup theorem
• Discuss the Boolean satisfiability problem

Interesting Math Research Topics

We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:

• What is two-element Boolean algebra?
• The life of Gauss
• The life of Isaac Newton
• What is an orthodiagonal quadrilateral?
• Tessellation in Euclidean plane geometry
• Describe a hyperboloid in 3D geometry
• What is a sphericon?
• Discuss the peculiarities of Borel’s paradox
• Analyze the De Finetti theorem in statistics
• What are Martingales?
• The basics of stochastic calculus

Applied Math Research Topics

Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:

• Discuss Newton’s laws of motion
• Analyze the perpendicular axes rule
• How is a Galilean transformation done?
• The conservation of energy and its applications
• Discuss Liouville’s theorem in Hamiltonian mechanics
• Analyze the quantum field theory
• Discuss the main components of the Lorentz symmetry
• An in-depth look at the uncertainty principle

Geometry Topics for a Research Paper

Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:

• Most useful trigonometry functions in math
• The life of Archimedes and his achievements
• Trigonometry in computer graphics
• Using Vincenty’s formulae in geodesy
• Define and describe the Heronian tetrahedron
• The math behind the parabolic microphone
• Discuss the Japanese theorem for concyclic polygons
• Analyze Euler’s theorem in geometry

Math Research Topics for Middle School

Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:

• Finding critical points in a graph
• The basics of calculus
• What makes a graph ultrahomogeneous?
• How do you calculate the area of different shapes?
• What contributions did Euclid have to the field of mathematics?
• What is Diophantine geometry?
• What makes a graph regular?
• Analyze a full binary tree

Math Research Topics for College Students

As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:

• What are extremal problems and how do you solve them?
• Discuss an unsolvable math problem
• How can supercomputers solve complex mathematical problems?
• An in-depth analysis of fractals
• Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
• Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
• An in-depth look at Einstein’s field equation
• The math behind computer vision and object recognition

Calculus Topics for a Research Paper

Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:

• When do we need to apply the L’Hôpital rule?
• Discuss the Leibniz integral rule
• Calculus in ancient Egypt
• Discuss and analyze linear approximations
• The applications of calculus in real life
• The many uses of Stokes’ theorem
• Discuss the Borel regular measure
• An in-depth analysis of Lebesgue’s monotone convergence theorem

Simple Math Research Paper Topics for High School

This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:

• The life and work of the famous Pierre de Fermat
• What are limits and why are they useful in calculus?
• Explain the concept of congruency
• The life and work of the famous Jakob Bernoulli
• Analyze the rhombicosidodecahedron and its applications
• Calculus and the Egyptian pyramids
• The life and work of the famous Jean d’Alembert
• Discuss the hyperplane arrangement in combinatorial computational geometry
• The smallest enclosing sphere method in combinatorics

Business Math Topics

If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:

• Is paying a loan with another loan a good approach?
• Discuss the major causes of a stock market crash
• Best debt amortization methods in the US
• How do bank loans work in the UK?
• Calculating interest rates the easy way
• Discuss the pros and cons of annuities
• Basic business math skills everyone should possess
• Business math in United States schools
• Analyze the discount factor

Probability and Statistics Topics for Research

Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:

• What is the autoregressive conditional duration?
• Applying the ANOVA method to ranks
• Discuss the practical applications of the Bates distribution
• Explain the principle of maximum entropy
• Discuss Skorokhod’s representation theorem in random variables
• What is the Factorial moment in the Theory of Probability?
• Compare and contrast Cochran’s C test and his Q test
• Analyze the De Moivre-Laplace theorem
• What is a negative probability?

Need Help With Research Paper?

We offer the absolute best high school and college research paper writing service on the Internet. When you need any kind of research paper help, our experienced ENL writers and professional editors are here to help. With years of experience under their belts, our experts can get your research paper done in as little as 3 hours.

Getting cheap online help with research papers has never been easier. College students should just get in touch with us and tell us what they need. We will assign them our most affordable and experienced math writer in minutes, even during the night. We are the best-rated online writing company on the Internet because we always deliver high-quality academic content at the most competitive prices. Give us a try today!

Leave a Reply Cancel reply

• Contact Info

DEPARTMENT OF MATHEMATICS

• Undergraduate

Undergraduate Research Projects

Northwestern undergraduates have opportunities to explore mathematics beyond our undergraduate curriculum by enrolling in math 399-0 independent study, working on a summer project, or writing a senior thesis under the supervision of a faculty member. below are descriptions of projects that our faculty have proposed.  students interested in one of these projects should contact the project adviser. this should not be taken to be an exhaustive list of all projects that are availalbe, nor as a list of the only faculty open to supervising such projects. contact the director of undergraduate studies  for additional guidance. these projects are only available to northwestern undergraduates., combinatorial structures in symplectic topology, eric zaslow, symplectic and contact geometry describe the mathematics of phase space for particles and light, respectively.  they therefore are the mathematical home for dynamical systems arising from physics.  a noteworthy structure within contact geometry is that of a legendrian surface, closely related to the wavefront of propagating light.  these subspaces sometimes have combinatorial descriptions via graphs.  the project explores how well the combinatorial descriptions can distinguish legendrian surfaces, just as in knot theory one might explore whether the jones polynomial can distinguish different knots. , prerequisites:  math 330-1 or math 331-1, math 342-0. recommended: math 308-0., complexity and periodicity, the simplest bi-infinite sequences in $\{0, 1\}^{\mathbb z}$ are the periodic sequences, where a single pattern is concatenated with itself infinitely often. at the opposite extreme are bi-infinite sequences containing every possible configuration of $0$'s and $1$'s. for periodic sequences, the number of substrings of length $n$ is bounded, while in the second case, all substrings appear and so there are $2^n$ substrings of length $n$. the growth rate of the possible patterns is a measurement of the complexity of the sequence, giving information about the sequence itself and describing objects encoded by the sequence. symbolic dynamics is the study of such sequences, associated dynamical systems, and their properties. an old theorem of morse and hedlund gives a simple relation between this measurement of complexity and periodicity: a bi-infinite sequence with entries in a finite alphabet $\mathcal a$ is periodic if and only if there exists some $n\in\mathbb n$ such that the sequence contains at most $n$ words of length $n$. however, as soon as we turn to higher dimensions, meaning a sequence in $\mathcal a^{\mathbb z^d}$ for some $d\geq 2$ rather than $d=1$, the relation between complexity and periodicity is no longer clear.  even defining what is meant by low complexity or periodicity is not clear.  this project will cover what is known in one dimension and then turn to understanding how to generalize these phenomena to higher dimensions.   prerequisite: math 320-3 or math 321-3., finite simple groups, ezra getzler, finite simple groups are the building blocks of finite groups. for any finite group $g$, there is a normal subgroup $h$ such that $g/h$ is a simple group: the simple groups are those groups with no nontrivial normal subgroups.  the abelian finite simple groups are the cyclic groups of prime order; in this sense, finite simple groups generalize the prime numbers.  one of the beautiful theorems of algebra is that the alternating groups $a_n$ (subgroups of the symmetric groups $s_n$) are simple for $n\geq 5$. in fact, $a_5$ is the smallest non-abelian finite simple group (its order is $60$). another series of finite simple groups was discovered by galois. let $\mathbb f$ be a field.  the group $sl_2(\mathbb f)$ is the group of all $2\times2$ matrices of determinant $1$. if we take $\mathbb f$ to be a finite field, we get a finite group; for example, we can take $\mathbb f=\mathbb f_p$, the field with $p$ elements. it is a nice exercise to check that $sl_2(\mathbb f_p)$ has $p^3-p$ elements. the center $z(sl_2(\mathbb f_p))$ of $sl_2(\mathbb f_p)$ is the set of matrices $\pm i$; this has two elements unless $p=2$. the group $psl_2(\mathbb f)$ is the quotient of $sl_2(\mathbb f)$ by its center $z(sl_2(\mathbb f))$: we see that $psl_2(\mathbb f_p)$ has order $(p^3-p)/2$ unless $p=2$. it turns out that $psl_2(\mathbb f_2)$ and $psl_2(\mathbb f_3)$ are isomorphic to $s_3$ and $a_4$, which are not simple, but $psl_2(\mathbb f_5)$ is isomorphic to $a_5$, the smallest nonabelian finite simple group, and $psl_2(\mathbb f_7)$, of order $168$, is the second smallest nonabelian finite simple group. (when $\mathbb f$ is the field of complex numbers, the group $psl_2(\mathbb c)$ is also very interesting, though of course it is not finite: it is isomorphic to the lorentz group of special relativity.)  the goal of this project is to learn about generalizations of this construction, which together with the alternating groups yield all but a finite number of the finite simple groups. (there are 26 missing ones called the sporadic simple groups that cannot be obtained in this way.) this mysterious link between geometry and algebra is hard to explain, but very important: much of what we know about the finite simple groups comes from the study of matrix groups over the complex numbers. prerequisite: math 330-3 or math 331-3., fourier series and representation theory, fourier series allow you to write a periodic function in terms of a basis of sines and cosines.  one way to think of this is to understand sines and cosines as the eigenfunctions of the second derivative operator – so fourier series generalize the spectral theorem of linear algebra in this sense.  there is another viewpoint that is useful:  periodic functions can be thought of as functions defined on a circle, which is itself a group.  the connection between group theory and fourier series runs deeper, and this is the subject of this project. moving up a dimension, functions on a sphere can be described in terms of spherical harmonics.  while the sphere is not a group, it is the orbit space of the unit vector in the vertical direction.  thus it can be constructed as a homogeneous space:  it is the group of rotations modulo the group of rotations around the vertical axis.  we can therefore access functions on the sphere via functions on the group of rotations.  the peter-weyl theorem describes the vector space of functions on the group in terms of its representation theory.  (a representation of a group is a vector space on which group elements act as linear transformations [e.g., matrices], consistent with their relations.)  the entries of matrix elements of the irreducible representations of the group play the role that sines and cosines did above.  indeed, we can combine sines and cosines into complex exponentials and these are the sole entries of the one-by-one matrices (characters) representing the abelian circle group.  finally, we will connect spherical harmonics to polynomial functions relevant to geometric structures described in the borel-weyl-bott theorem.  students will explore many examples along with learning the foundations of the theory. prerequisites:  math 351-0 or math 381-0., linear poisson geometry, santiago cañez , a poisson bracket is a type of operation which takes as input two functions and outputs some expression obtained by multiplying their derivatives, subject to some constraints. for instance, the standard poisson bracket of two functions $f,g$ on $\mathbb r^2$ is defined by $\{f,g\} =\frac{\partial f}{\partial x} \frac{\partial g}{\partial y} - \frac{\partial f}{\partial y} \frac{\partial g}{\partial x}$. such objects first arose in physics in order to describe the time evolution of mechanical systems, but have now found other uses as well. in particular, a linear poisson bracket on a vector space turns out to encode the same data as that of a lie algebra, another type of algebraic object which is ubiquitous in mathematics. this relation between linear poisson brackets and lie algebra structures allows one to study the same object from different perspectives; in particular, this allows one to better understand the notion of coadjoint orbits and the hidden structure within them., the goal of this project is to understand the relation between linear poisson brackets and lie algebras, and to use this relation to elucidate properties of coadjoint orbits. all of these structures are heavily used in physics, and gaining a deep understanding as to why depends on the relation described above. moreover, this project will bring in topics from many different areas of mathematics – analysis, group theory, and linear algebra – to touch on areas of modern research., prerequisites: math 320-1 or math 321-1, math 330-1 or math 331-1, math 334-0 or math 291-2., noncommutative topology, given a space $x$, one can consider various types of functions defined on $x$, say for instance continuous functions from $x$ to $\mathbb c$. the set $c(x)$ of all such functions often comes equipped with some additional structure itself, which allows for the study of various geometric or topological properties of $x$ in terms of the set of functions $c(x)$ instead. in particular, when $x$ is a compact hausdorff space, the set $c(x)$ of complex-valued continuous functions on $x$ has the structure of what is known as a commutative $c^*$-algebra, and the gelfand-naimark theorem asserts that all knowledge about $x$ can be recovered from that of $c(x)$. this then suggests that arbitrary non-commutative $c^*$-algebras can be viewed as describing functions on "noncommutative spaces," of the type which arise in various formulations of quantum mechanics. the goal of this project is to understand the relation between compact hausdorff spaces and commutative $c^*$-algebras, and see how the topological information encoded within $x$ is reflected in the algebraic  information encoded within $c(x)$. this duality between topological and algebraic data is at the core of many aspects of modern mathematics, and beautifully blends together concepts from analysis, algebra, and topology. the ultimate aim in this area is to see how much geometry and topology one can carry out using only algebraic means. prerequisites: math 330-2 or math 331-2, math 344-1., simple lie algebras, a lie algebra is a vector space equipped with a certain type of algebraic operation known as a lie bracket, which gives a way to measure how close two elements are to commuting with one another. for instance, the most basic example is that of the space of all $n \times n$ matrices, where the "bracket" operation takes two $n \times n$ matrices $a$ and $b$ and outputs the difference $ab-ba$; in this case the lie bracket of $a$ and $b$ is zero if and only if $a$ and $b$ commute in the usual sense. lie algebras arise in various contexts, and in particular are used to describe "infinitesimal symmetries" of physical systems. among all lie algebras are those referred to as being simple, which in a sense are the lie algebras from which all other lie algebras can be built. it turns out that one can encode the structure of a simple lie algebra in terms of purely combinatorial data, and that in particular one can classify simple lie algebras in terms of certain pictures known as dynkin diagrams. the goal of this project is to understand the classification of simple lie algebras in terms of dynkin diagrams. there are four main families of such lie algebras which describe matrices with special properties, as well as a few so-called exceptional lie algebras whose existence seems to come out of nowhere. such structures are now commonplace in modern physics, and their study continues to shed new light on various phenomena. prerequisites: math 330-2 or math 331-2, math 334-0 or math 291-2., the spectral theory of polygons, jared wunsch, we can study, for any domain the plane, the eigenfunctions of the laplace-operator (with boundary conditions) on this domain: these are the natural frequencies of vibration of this drum head. students might want to read mark kac's famous paper "can you hear the shape of a drum" as part of this project, and there is lots of fun mathematics associated to this classical question and its negative answer by gordon-webb-wolpert.   an ambitious direction that this could possibly head in would be the theory of diffraction of waves on surfaces. in the plane, this is a classical theory, going back to work of sommerfeld in the 1890's, but there's still a remarkable amount that we don't know.  the mathematical story is more or less as follows: a wave (i.e. a solution to the wave equation, which could be a sound or electromagnetic wave, or, with a slight change of point of view, the wavefunction of a quantum particle) is known to reflect nicely off a straight interface.  at a corner, however, something quite interesting happens, which is that the tip of the corner acts as a new point source of waves.  this is the phenomenon of diffraction, and is responsible for many fascinating effects in mathematical physics.  the student could learn the classical theory in the 2d context, starting with flat surfaces and possibly (if there is sufficient geometric background) curved ones, and then work on a novel project in one of a number of directions, which would touch current research in the field., prerequisites: math 320-1 or math 321-1, math 325-0 or math 382-0. more ambitious parts of this project might require math 410-1,2,3..

Undergraduate Research

Where to start:.

A good starting point is the Harvard College Undergraduate Research and Fellowships page. The Office of Undergraduate Research and Fellowships administers research programs for Harvard College undergraduates. Check out the website . Another resource is OCS , the Harvard Office of Career Services. It offers help on preparing a CV or cover letters and gives advice on how to network, interview, etc. Their website is here . Other Sources that can provide additional information on Scholarships, awards, and other grants:

• Committee on General Scholarships: more …
• Office of International Programs: more …
• Student Employment Office: more …

Independent study in Mathematics

Students who would like to do some independent study or a reading class please read the pamphlet page . about Math 91r.

THE ANNUAL OCS SUMMER OPPORTUNITIES FAIR

The Office of Career Services hosts summer programs to help you begin your summer search. Programs are both Harvard affiliated and public or private sector and include internships, public service, funding, travel, and research (URAF staff will be there to answer your questions!). Check out the website.

Harvard-Amgen Scholars program in Biotechnology

Check out the Harvard-Amgen Scholars Program Learn about Harvard’s Amgen 10-week intensive summer research program, one of ten Amgen U.S. programs that support research in biotechnology. The Harvard program includes faculty projects in FAS science departments, SEAS, the Wyss Institute for Biologically-inspired Engineering, and the School of Medicine, open to rising juniors and seniors in biotechnology-related fields.

PRIMO program

The Program for research in Markets and Organizations (PRIMO) is a 10-week program for Harvard undergraduates who wish to work closely with Harvard Business School faculty on research projects.

Harvard Undergraduate Research Events

• Wednesday, October 10, 12:00-1: 20 PM – Fall Undergraduate Research Spotlight. Come and meet Harvard undergraduate peers who will showcase their research projects and share their experiences conducting research at Harvard and abroad, followed by reception and deserts. Event program and list of presentations can be found here: here (pizza and desserts while supplies last). Free for Harvard students. Cabot Library 1st floor Discovery Bar.
• Wednesday, October 17, 12:00-1: 00 PM – Undergraduate Science Research Workshop. Workshop facilitators Dr. Margaret A. Lynch, (Assoc. Director of Science #Education) and Dr. Anna Babakhanyan, (Undergraduate Research Advisor) will help Harvard students learn about science research landscape at Harvard. You will learn about what kind of research (basic science vs. clinical, various research areas) is available at Harvard, where you can conduct research, the types of undergraduate research appointments, how to find a lab that fits, interviewing and more. In addition, the workshop will provide strategies for students to prepare for the Annual HUROS Fair, see below. No registration is required for this event (pizza while supplies last). Free for all Harvard students. Cabot Library first floor Discover Bar. More.

Outside Programs

Caltech always announces two summer research opportunities available to continuing undergraduate students. Examples: WAVE Student-Faculty Programs The WAVE Fellows program provides support for talented undergraduates intent on pursuing a Ph.D. to conduct a 10-week summer research project at Caltech. And then there is the AMGEN Scholars program. See the website for more details.

Johns Hopkins Summer 2018 Opportunities

The Johns Hopkins University Center for Talented Youth (CTY) is seeking instructors and teaching assistants for our summer programs. CTY offers challenging academic programs for highly talented elementary, middle, and high school students from across the country and around the world. Positions are available at residential and day sites at colleges, universities, and schools on the East and West coasts, as well as internationally in Hong Kong. Website

Math REU list from AMS

Mellon Mays opportunities awareness

The Mellon Mays Undergraduate Fellowship Program ( MMUF ) selects ten students in their sophomore year to join a tightly-knit research community during junior and senior years to conduct independent research in close collaboration with a faculty mentor. Join us at this information session to find out more about the program. MMUF exists to counter the under-representation of minority groups on college and university faculties nationwide through activities designed to encourage the pursuit of the Ph.D. in the humanities and core sciences.

MIT Amgen and UROP

You may be familiar with the Amgen Scholars Program, a summer research program in science and biotechnology. The Massachusetts Institute of Technology is a participant in the Amgen-UROP Scholars Program for a ninth year. UROP is MIT’s Undergraduate Research Opportunities Program. The mission of the Amgen-UROP Scholars Program is to provide students with a strong science research experience that may be pivotal in their undergraduate career, cultivate a passion for science, encourage the pursuit of graduate studies in the sciences, and stimulate interest in research and scientific careers. MIT is delighted to invite undergraduate students from other colleges and universities to join our research enterprise. We value the knowledge, experience, and enthusiasm these young scholars will bring to our campus and appreciate this opportunity to build a relationship with your faculty and campus.

More REU's, not only math

The National Science Foundation Research Experiences for Undergraduates (REU) NSF funds a large number of research opportunities for undergraduate students through its REU Sites program. An REU Site consists of a group of ten or so undergraduates who work in the research programs of the host institution. Each student is associated with a specific research project, where he/she works closely with the faculty and other researchers. Students are granted stipends and, in many cases, assistance with housing and travel. Undergraduate students supported with NSF funds must be citizens or permanent residents of the United States or its possessions. An REU Site may be at either the US or foreign location. By using the web page , search for an REU Site, you may examine opportunities in the subject areas supported by various NSF units. Also, you may search by keywords to identify sites in particular research areas or with certain features, such as a particular location. Students must contact the individual sites for information and application materials. NSF does not have application materials and does not select student participants. A contact person and contact information are listed for each site.

Here is a link with more information about summer programs for undergraduates at NSA: NSA The most math-related one is DSP, but those students who are more interested in computer science could also look at, say, CES SP. They are all paid with benefits and housing is covered. Note that application deadlines are pretty early (usually mid-October). The application process will involve usually a few interviews and a trip down to DC.

NSF Graduate Research Fellowships

US citizens and permanent residents who are planning to enter graduate school in the fall of 2019 are eligible (as are those in the first two years of such a graduate program, or who are returning to graduate school after being out for two or more years). The program solicitation contains full details. Information about the NSF Graduate Research Fellowship Program (GRFP) is here . The GRFP supports outstanding graduate students in NSF-supported science, technology, engineering, and mathematics disciplines who are pursuing research-based Masters and doctoral degrees at accredited United States institutions. The program provides up to three years of graduate education support, including an annual, 000 stipend. Applications for Mathematical Sciences topics are due October 26, 2018.

Pathway to Science

summer research listings from pathways to science.

Perimeter Institute

Applications are now being accepted for Perimeter Institute’s Undergraduate Theoretical Physics Summer Program. The program consists of two parts:

• Fully-Funded Two Week Summer School (May 27 to June 7, 2019) Students are immersed in Perimeter’s dynamic research environment — attending courses on cutting-edge topics in physics, learning new techniques to solve interesting problems, working on group research projects, and potentially even publishing their work. All meals, accommodation, and transportation provided
• Paid Research Internship (May 1 to August 30, 2019, negotiable) Students will work on projects alongside Perimeter researchers. Students will have the opportunity to develop their research skills and absorb the rich variety of talks, conferences, and events at the Perimeter Institute. Applicants can apply for the two-week summer school or for both the summer school and the research internship. Summer school and internship positions will be awarded by February 28, 2019. Selected interns will be contacted with the research projects topics. All research interns must complete the two-week summer school.

Apply online at perimeterinstitute.ca/undergrad

Stanford resident counselors

Stanford Pre-Collegiate Institutes is hiring Residential Counselors for the summer to work with the following courses:

• Cryptography (grades 9-10)
• Knot Theory (grades 10-11)
• Logic and Problem Solving (grades 8-9)
• Number Theory (grades 9-11)
• Excursions in Probability (grades 8-9)
• Discrete Mathematics (grades 9-10)
• The Mathematics of Symmetry (grades 10-11)
• Mathematical Puzzles and Games (grades 8-9)

Stanford Pre-Collegiate Institutes offers three-week sessions for academically talented high school students during June and July. Interested candidates can learn more about our positions and apply by visiting our employment website .

Summer Research 2019 at Nebraska

We are now accepting applications for the University of Nebraska’s 2019 Summer Research Program, and we’d like to encourage your students to apply. Details.

• Welcome from the Chair
• Michalik Distinguished Lecture Series
• Open Faculty Positions
• Advising & Support
• Calculus Curriculum
• Degree Programs/Requirements
• Extracurricular Activities
• Math Placement Assessment
• Math Assistance Center/Posvar Computing Lab
• Research/Career Opportunities
• Admissions & Financial Aid
• Degree Programs
• Graduate Employment
• Graduate Handbook
• Information for Incoming Graduate Students
• Organizations
• Research Opportunities
• Teaching Opportunities

Research Areas

• Graduate Research
• Undergraduate Research
• Mathematics Research Center
• Technical Reports
• Publications
• Gallery of Research Images
• Faculty Admin
• Adjunct Faculty
• Part-Time Faculty
• Emeritus Faculty
• Post-Doctoral Associates
• Graduate Students
• Stay in Touch
• Newsletter Archive
• Upcoming Events
• Past Events
• Prospective Students

Department members engage in cutting-edge research on a wide variety of topics in mathematics and its applications. Topics continually evolve to reflect emerging interests and developments, but can roughly grouped into the following areas.

Algebra, Combinatorics, and Geometry

Algebra, combinatorics, and geometry are areas of very active research at the University of Pittsburgh.

Analysis and Partial Differential Equations

The research of the analysis group covers functional analysis, harmonic analysis, several complex variables, partial differential equations, and analysis on metric and Carnot-Caratheodory spaces.

Applied Analysis

The department is a leader in the analysis of systems of nonlinear differential equations and dynamical systems  that arise in modeling a variety of physical phenomena. They include problems in biology, chemistry, phase transitions, fluid flow, flame propagation, diffusion processes, and pattern formation in nonlinear stochastic partial differential equations.

Mathematical Biology

The biological world stands as the next great frontier for mathematical modeling and analysis. This group studies complex systems and dynamics arising in various biological phenomena.

Mathematical Finance

A rapidly growing area of mathematical finance is Quantitative Behavioral Finance. The high-tech boom and bust of the late 1990s followed by the housing and financial upheavals of 2008 have made a convincing case for the necessity of adopting broader assumptions in finance.

Numerical Analysis and Scientific Computing

The diversity of this group is reflected in its research interests: numerical analysis of partial differential equations , adaptive methods for scientific computing, computational methods of fluid dynamics and turbulence, numerical solution of nonlinear problems arising from porous media flow and transport, optimal control, and simulation of stochastic reaction diffusion systems.

Topology and Differential Geometry

Research in analytic topology continues in the broad area of generalized metric spaces. This group studies relativity theory and differential geometry, with emphasis on twistor methods, as well as geometric and topological aspects of quantum field theory, string theory, and M-theory.

• Undergraduate Research

Undergraduate Research programs are a great opportunity for undergraduates to build research experience, connect with faculty and researchers, and (sometimes) even earn some money. Undergraduate Research programs can take a variety of formats. Some are informal arrangements with a professor where you work independently on a problem but with guidance from the professor. Other programs are more formal, such as the numerous summer REU programs funded by the National Science Foundation.

These programs are typically an 8-10 week residential program with other students from various universities where you work together on a problem.

Summer REU programs typically involve paid travel expenses and a summer stipend and are very competitive to get admitted to. If you are interested in finding out more about Undergraduate Research opportunities at Purdue, or how to apply to summer REU programs, contact Jon Peterson at [email protected] .

Summer is traditionally a time to kick back and take a break from studies, but not so for several mathematics students who are in residence in the Mathematics Department during summers.

With support provided by Purdue alumni Andy Zoltners, Joel Spira, as well as the National Science Foundation and other funding, undergraduate math students engage in research projects under the guidance of mathematics faculty members.

• Purdue REU Opportunities

Summer REU Opportunities

Past Research Projects

• Faculty Research Areas
• Center for Computational & Applied Mathematics
• Funding Opportunities
• Research at Purdue

Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067

Phone: (765) 494-1901 - FAX: (765) 494-0548   Contact Us

© 2024 Purdue University | An equal access/equal opportunity university | Copyright Complaints

Trouble with this page? Disability-related accessibility issue ? Please contact the College of Science .

Maintained by Science IT

Department of Mathematics

Undergraduate research, summer undergraduate research at yale (sumry).

The SUMRY program is a ten-­week undergraduate research program run by the mathematics department at Yale University, usually between early June and early August. In a recent year , there were 15-20 funded positions for undergraduates to investigate open research problems in the mathematical sciences. Students work either individually or in small groups, directed by faculty members, post­doctoral fellows, and graduate students. The work pursued in this program will give participants an idea of what research in mathematics is like.

Directed Reading Program

The Directed Reading Program pairs undergraduate students with graduate student mentors to read and work through a mathematics text over the course of one semester. The pairs meet once each week for one hour, with the undergraduates expected to do about 4 hours of independent reading per week. At the end of the semester, undergraduates either give a talk to their peers or prepare a short exposition of some of the material from the semester. Undergraduates are expected to have a high level of mathematical maturity and eagerness to learn the topic.

Math 470 is an individual studies course, it can be taken for graduation credit (but not applied toward undergraduate math major requirements). By default, it can be taken only once, though under exceptional circumstances, the DUS may permit it to be taken twice. Interested students must submit a proposal to math.dus@yale.edu at least three days before the end of add / drop period, with the name of their adviser, and details about the proposed study (both its content and the structure of the course). Typically, the class will require weekly meetings with the adviser, it will have some assignments along the way (that are to be written up or presented to the adviser), and it will terminate with a final paper or project. Please note that university rules do not allow independent study on topics that are taught in existing courses (there can be a bit of overlap, but you cannot do independent study to learn Math 370, for example). 

Undergraduate Research

The following are research opportunities for Stanford undergraduates.  The department does not offer any research opportunities for undergraduates who are not Stanford students.

SURIM     ~     Honors Thesis  

SURIM, the Stanford Undergraduate Research Institute in Mathematics, is a ten-week program that provides Stanford undergraduates the opportunity to work on mathematical problems in an extra-curricular context. Most students will work on interesting mathematical problems in a collaborative environment. A number will work one-on-one with faculty member. Summer funding will be provided to all participants, thanks to VPUE.

See the  SURIM page for more information.

Honors Thesis

Honors Math majors research and write a senior honors thesis under the direction and guidance of one of our faculty.  Honors majors enroll in Math 197: Senior Honors Thesis with their advisor.  See our Honors in the Major page, including our Math 197 Guidelines.

© Stanford University . Stanford , California 94305 .

Mathematical Sciences

Mellon college of science.

Undergraduate Research

An undergraduate research experience can be transformative. There are a number of routes to an undergraduate research experience in mathematics for Carnegie Mellon students.

• 2024 Summer Experiences in Mathematical Sciences
• Degree Programs
• Student Activities
• Frequently Asked Questions
• Why Mathematical Sciences?

Tell us about your research!

For more information about Undegraduate Research Opportunities in Mathematical Sciences at CMU, contact Dr. Irina Gheorghiciuc , Director of Undergraduate Research.

Students interested in doing research in biology, chemistry or physics should visit the  Mellon College of Science Undergraduate Research  website.

The Carnegie Mellon Undergraduate Research Office offers two programs to support undergraduate research.  The SURA (Summer Undergraduate Research Apprenticeship) program is primarily designed for students with no prior research experience and offers students tuition-free credit for working with a CMU faculty mentor over the summer.  The SURF (Summer Undergraduate Research Fellowship) program is primarily designed for students with prior research experience, and it provides students a stipend for working with a CMU faculty mentor over the summer.  Through the generosity of alumni, the Department has been able to expand the availability of SURF fellowships in mathematics.

Summer SURF Projects:

Many universities in the US host summer undergraduate research experience programs, known as REUs. Many of these are supported by the NSF, and they usually offer a stipend to student participants. For a list of mathematics REU programs and useful links visit the American Mathematical Society (AMS) and the National Science Foundation (NSF) websites.

Our department hosts a similar summer program called the Summer Undergraduate Applied Mathematics Institute (SUAMI) . Most REU's focus on the research experience, but the SUAMI program is different in that it seeks to emulate the graduate school experience by including both coursework and research. (At most 2 CMU students will be admitted into the SUAMI each summer.)

21-410 Undergraduate Research Topic

This course affords undergraduates an opportunity to pursue elementary research topics in the area of expertise of the instructor. The prerequisites will depend on the content of the course. In some cases, this course is offered in the semester after an advanced undergraduate course is taught by the same instructor on the same topic.

Jennings Global Mathematics Fund

Awards from this fund allow mathematics majors to travel abroad during their summer breaks to study, conduct research, and/or participate in service work. Such an award can be used to support an undergraduate research project if you identify an opportunity to conduct research abroad.

Meeting of the Minds - Poster Competition

This competition is sponsored by the Department of Mathematical Sciences, through the generosity of alumnus David Simmons. Its purpose is to encourage undergraduate projects and research in mathematics, and to educate the CMU community about the wide range of opportunities in mathematics.

• Apply Now [GRAD]
• Apply Now [UNDERGRAD]
• Computing Support
• Computational Finance

Undergraduate Research in Mathematics

The  UGA Mathematics Undergraduate Research Program   (URP) is committed to supporting undergraduates with an interest in research. We have a number of faculty and graduate students who regularly engage in mentoring undergraduates, and a variety of options through which students may pursue their mathematical interests. 

Getting Started  

• Our standard entry-point for undergraduate researchers is the  UGA Mathematics Directed Reading Program (DRP) , which pairs undergraduates with graduate student mentors to research topics of their mutual interest. The DRP is a beneficial collaboration for both the undergraduate and their mentor. 

Research Opportunities

• After delving into new topics with graduate student DRP mentors, some undergraduates may seek deeper study of a particular field with a faculty or graduate student mentor. Other students may already have specialized interests and seek faculty mentorship right away, or strike up a research collaboration organically. Faculty-guided URP projects can be undertaken in partnership with the  UGA Center for Undergraduate Research Opportunities  (CURO), and/or satisfy  Experiential Learning  requirements, and/or count for course credit in an Undergraduate Research Group  or other independent research project (with some limitations regarding satisfying major/minor requirements).

Explore Your Interests

• The UGA Mathematics URP is very flexible. We are here to support undergraduate curiosity, innovation and creativity in mathematics. Whether you want to find new approaches to applied problems, or explore the universe of pure mathematics, please reach out to us at  [email protected] .

Undergraduate research is a student success activity offered by the Department of Mathematics.

Resources for Undergraduates

UNDERGRADUATE RESEARCH PROGRAM The UGA Mathematics Undergraduate Research Program (URP) has many faculty and postdocs interested to mentor  undergraduates.

DIRECTED READING PROGRAM The UGA Mathematics Directed Reading Program (DRP) pairs undergraduates with mathematics graduate student mentors to research topics of their mutual interest.

E XPERIENTIAL LEARNING Many UGA Mathematics faculty members engage in  Experiential Learning  projects with undergraduates.

UNDERGRADUATE RESEARCH GROUPS The UGA Department of Mathematics sponsors a number of undergraduate research groups (listed below with faculty mentors):

Knot Theory Summer REU ( Akram Alishahi , Melissa Zhang )

Applied Mathematics: Control and Optimization ( Weiwei Hu )

Mathematical Physics ( Jimmy Dilles ,  Gary Iliev )

Applied Mathematics and Scientific Computing ( Seulip Lee ,  Lin Mu )

Topology ( Akram Alishahi , Trenton Schirmer ,  Melissa Zhang )

Mathematics of Card Shuffling FYO ( Leonard Chastkofsky )

Mathematics of Trading ( Qing Zhang )

SUMMER UNDERGRADUATE MATHEMATICS RESEARCH (SUMR) CONFERENCE The UGA Department of Mathematics' annual conference to highlight undergraduate research projects, as well as the work of our graduate student and faculty research mentors.

CURO The UGA Center for Undergraduate Research Opportunities (CURO) offers University of Georgia undergraduates the opportunity to engage in faculty-mentored research regardless of discipline, major or GPA – even students in their first year.

MAA Undergraduate Research Resources The Mathematical Association of America  (MAA) has information about undergraduate research opportunities, as well as advice on preparing posters, presentations and papers, and other useful resources.

National Science Foundation REU The NSF Research Experiences for Undergraduates (REU) program supports active research participation by undergraduate students in any of the areas of research funded by the National Science Foundation. 

American Mathematical Society REU Here you will find information about the AMS R esearch Experience for Undergraduates Summer Programs.

Whether you want to find new approaches to applied problems or explore the universe of pure mathematics, please reach out to:

[email protected]

Fill out this DRP/URP form   to get started today!

We appreciate your financial support. Your gift is important to us and helps support critical opportunities for students and faculty alike, including lectures, travel support, and any number of educational events that augment the classroom experience.  Click here to learn more about giving .

Every dollar given has a direct impact upon our students and faculty.

Research Topics

UBC’s Department of Mathematics is one of Canada’s best. Come find out what’s going on here…

 Research Sub-Navigation

Algebra and algebraic geometry.

Intercontinental Moduli and Algebraic Geometry Seminar

Group overview

Discrete mathematics, group overview, harmonic analysis.

Harmonic Analysis and Fractal Geometry Seminar

Mathematical Biology

Mathematical physics, group overview, mathematics education, mathematics of information, nonlinear dynamics and applied pdes, number theory, partial differential equations, probability.

The Probability group maintains an external site with more information about their group and its activities:

Scientific Computing

251+ Math Research Topics [2024 Updated]

Mathematics, often dubbed as the language of the universe, holds immense significance in shaping our understanding of the world around us. It’s not just about crunching numbers or solving equations; it’s about unraveling mysteries, making predictions, and creating innovative solutions to complex problems. In this blog, we embark on a journey into the realm of math research topics, exploring various branches of mathematics and their real-world applications.

How Do You Write A Math Research Topic?

Writing a math research topic involves several steps to ensure clarity, relevance, and feasibility. Here’s a guide to help you craft a compelling math research topic:

• Identify Your Interests: Start by exploring areas of mathematics that interest you. Whether it’s pure mathematics, applied mathematics, or interdisciplinary topics, choose a field that aligns with your passion and expertise.
• Narrow Down Your Focus: Mathematics is a broad field, so it’s essential to narrow down your focus to a specific area or problem. Consider the scope of your research and choose a topic that is manageable within your resources and time frame.
• Review Existing Literature: Conduct a thorough literature review to understand the current state of research in your chosen area. Identify gaps, controversies, or unanswered questions that could form the basis of your research topic.
• Formulate a Research Question: Based on your exploration and literature review, formulate a clear and concise research question. Your research question should be specific, measurable, achievable, relevant, and time-bound (SMART).
• Consider Feasibility: Assess the feasibility of your research topic in terms of available resources, data availability, and research methodologies. Ensure that your topic is realistic and achievable within the constraints of your project.
• Consult with Experts: Seek feedback from mentors, advisors, or experts in the field to validate your research topic and refine your ideas. Their insights can help you identify potential challenges and opportunities for improvement.
• Refine and Iterate: Refine your research topic based on feedback and further reflection. Iterate on your ideas to ensure clarity, coherence, and relevance to the broader context of mathematics research.
• Craft a Title: Once you have finalized your research topic, craft a compelling title that succinctly summarizes the essence of your research. Your title should be descriptive, engaging, and reflective of the key themes of your study.
• Write a Research Proposal: Develop a comprehensive research proposal outlining the background, objectives, methodology, and expected outcomes of your research. Your research proposal should provide a clear roadmap for your study and justify the significance of your research topic.

By following these steps, you can effectively write a math research topic that is well-defined, relevant, and poised to make a meaningful contribution to the field of mathematics.

251+ Math Research Topics: Beginners To Advanced

• Prime Number Distribution in Arithmetic Progressions
• Diophantine Equations and their Solutions
• Applications of Modular Arithmetic in Cryptography
• The Riemann Hypothesis and its Implications
• Graph Theory: Exploring Connectivity and Coloring Problems
• Knot Theory: Unraveling the Mathematics of Knots and Links
• Fractal Geometry: Understanding Self-Similarity and Dimensionality
• Differential Equations: Modeling Physical Phenomena and Dynamical Systems
• Chaos Theory: Investigating Deterministic Chaos and Strange Attractors
• Combinatorial Optimization: Algorithms for Solving Optimization Problems
• Computational Complexity: Analyzing the Complexity of Algorithms
• Game Theory: Mathematical Models of Strategic Interactions
• Number Theory: Exploring Properties of Integers and Primes
• Algebraic Topology: Studying Topological Invariants and Homotopy Theory
• Analytic Number Theory: Investigating Properties of Prime Numbers
• Algebraic Geometry: Geometry Arising from Algebraic Equations
• Galois Theory: Understanding Field Extensions and Solvability of Equations
• Representation Theory: Studying Symmetry in Linear Spaces
• Harmonic Analysis: Analyzing Functions on Groups and Manifolds
• Mathematical Logic: Foundations of Mathematics and Formal Systems
• Set Theory: Exploring Infinite Sets and Cardinal Numbers
• Real Analysis: Rigorous Study of Real Numbers and Functions
• Complex Analysis: Analytic Functions and Complex Integration
• Measure Theory: Foundations of Lebesgue Integration and Probability
• Topological Groups: Investigating Topological Structures on Groups
• Lie Groups and Lie Algebras: Geometry of Continuous Symmetry
• Differential Geometry: Curvature and Topology of Smooth Manifolds
• Algebraic Combinatorics: Enumerative and Algebraic Aspects of Combinatorics
• Ramsey Theory: Investigating Structure in Large Discrete Structures
• Analytic Geometry: Studying Geometry Using Analytic Methods
• Hyperbolic Geometry: Non-Euclidean Geometry of Curved Spaces
• Nonlinear Dynamics: Chaos, Bifurcations, and Strange Attractors
• Homological Algebra: Studying Homology and Cohomology of Algebraic Structures
• Topological Vector Spaces: Vector Spaces with Topological Structure
• Representation Theory of Finite Groups: Decomposition of Group Representations
• Category Theory: Abstract Structures and Universal Properties
• Operator Theory: Spectral Theory and Functional Analysis of Operators
• Algebraic Number Theory: Study of Algebraic Structures in Number Fields
• Cryptanalysis: Breaking Cryptographic Systems Using Mathematical Methods
• Discrete Mathematics: Combinatorics, Graph Theory, and Number Theory
• Mathematical Biology: Modeling Biological Systems Using Mathematical Tools
• Population Dynamics: Mathematical Models of Population Growth and Interaction
• Epidemiology: Mathematical Modeling of Disease Spread and Control
• Mathematical Ecology: Dynamics of Ecological Systems and Food Webs
• Evolutionary Game Theory: Evolutionary Dynamics and Strategic Behavior
• Mathematical Neuroscience: Modeling Brain Dynamics and Neural Networks
• Mathematical Physics: Mathematical Models in Physical Sciences
• Quantum Mechanics: Foundations and Applications of Quantum Theory
• Statistical Mechanics: Statistical Methods in Physics and Thermodynamics
• Fluid Dynamics: Modeling Flow of Fluids Using Partial Differential Equations
• Mathematical Finance: Stochastic Models in Finance and Risk Management
• Option Pricing Models: Black-Scholes Model and Beyond
• Portfolio Optimization: Maximizing Returns and Minimizing Risk
• Stochastic Calculus: Calculus of Stochastic Processes and Itô Calculus
• Financial Time Series Analysis: Modeling and Forecasting Financial Data
• Operations Research: Optimization of Decision-Making Processes
• Linear Programming: Optimization Problems with Linear Constraints
• Integer Programming: Optimization Problems with Integer Solutions
• Network Flow Optimization: Modeling and Solving Flow Network Problems
• Combinatorial Game Theory: Analysis of Games with Perfect Information
• Algorithmic Game Theory: Computational Aspects of Game-Theoretic Problems
• Fair Division: Methods for Fairly Allocating Resources Among Parties
• Auction Theory: Modeling Auction Mechanisms and Bidding Strategies
• Voting Theory: Mathematical Models of Voting Systems and Social Choice
• Social Network Analysis: Mathematical Analysis of Social Networks
• Algorithm Analysis: Complexity Analysis of Algorithms and Data Structures
• Machine Learning: Statistical Learning Algorithms and Data Mining
• Deep Learning: Neural Network Models with Multiple Layers
• Reinforcement Learning: Learning by Interaction and Feedback
• Natural Language Processing: Statistical and Computational Analysis of Language
• Computer Vision: Mathematical Models for Image Analysis and Recognition
• Computational Geometry: Algorithms for Geometric Problems
• Symbolic Computation: Manipulation of Mathematical Expressions
• Numerical Analysis: Algorithms for Solving Numerical Problems
• Finite Element Method: Numerical Solution of Partial Differential Equations
• Monte Carlo Methods: Statistical Simulation Techniques
• High-Performance Computing: Parallel and Distributed Computing Techniques
• Quantum Computing: Quantum Algorithms and Quantum Information Theory
• Quantum Information Theory: Study of Quantum Communication and Computation
• Quantum Error Correction: Methods for Protecting Quantum Information from Errors
• Topological Quantum Computing: Using Topological Properties for Quantum Computation
• Quantum Algorithms: Efficient Algorithms for Quantum Computers
• Quantum Cryptography: Secure Communication Using Quantum Key Distribution
• Topological Data Analysis: Analyzing Shape and Structure of Data Sets
• Persistent Homology: Topological Invariants for Data Analysis
• Mapper Algorithm: Method for Visualization and Analysis of High-Dimensional Data
• Algebraic Statistics: Statistical Methods Based on Algebraic Geometry
• Tropical Geometry: Geometric Methods for Studying Polynomial Equations
• Model Theory: Study of Mathematical Structures and Their Interpretations
• Descriptive Set Theory: Study of Borel and Analytic Sets
• Ergodic Theory: Study of Measure-Preserving Transformations
• Combinatorial Number Theory: Intersection of Combinatorics and Number Theory
• Additive Combinatorics: Study of Additive Properties of Sets
• Arithmetic Geometry: Interplay Between Number Theory and Algebraic Geometry
• Proof Theory: Study of Formal Proofs and Logical Inference
• Reverse Mathematics: Study of Logical Strength of Mathematical Theorems
• Nonstandard Analysis: Alternative Approach to Analysis Using Infinitesimals
• Computable Analysis: Study of Computable Functions and Real Numbers
• Graph Theory: Study of Graphs and Networks
• Random Graphs: Probabilistic Models of Graphs and Connectivity
• Spectral Graph Theory: Analysis of Graphs Using Eigenvalues and Eigenvectors
• Algebraic Graph Theory: Study of Algebraic Structures in Graphs
• Metric Geometry: Study of Geometric Structures Using Metrics
• Geometric Measure Theory: Study of Measures on Geometric Spaces
• Discrete Differential Geometry: Study of Differential Geometry on Discrete Spaces
• Algebraic Coding Theory: Study of Error-Correcting Codes
• Information Theory: Study of Information and Communication
• Coding Theory: Study of Error-Correcting Codes
• Cryptography: Study of Secure Communication and Encryption
• Finite Fields: Study of Fields with Finite Number of Elements
• Elliptic Curves: Study of Curves Defined by Cubic Equations
• Hyperelliptic Curves: Study of Curves Defined by Higher-Degree Equations
• Modular Forms: Analytic Functions with Certain Transformation Properties
• L-functions: Analytic Functions Associated with Number Theory
• Zeta Functions: Analytic Functions with Special Properties
• Analytic Number Theory: Study of Number Theoretic Functions Using Analysis
• Dirichlet Series: Analytic Functions Represented by Infinite Series
• Euler Products: Product Representations of Analytic Functions
• Arithmetic Dynamics: Study of Iterative Processes on Algebraic Structures
• Dynamics of Rational Maps: Study of Dynamical Systems Defined by Rational Functions
• Julia Sets: Fractal Sets Associated with Dynamical Systems
• Mandelbrot Set: Fractal Set Associated with Iterations of Complex Quadratic Polynomials
• Arithmetic Geometry: Study of Algebraic Geometry Over Number Fields
• Diophantine Geometry: Study of Solutions of Diophantine Equations Using Geometry
• Arithmetic of Elliptic Curves: Study of Elliptic Curves Over Number Fields
• Rational Points on Curves: Study of Rational Solutions of Algebraic Equations
• Galois Representations: Study of Representations of Galois Groups
• Automorphic Forms: Analytic Functions with Certain Transformation Properties
• L-functions: Analytic Functions Associated with Automorphic Forms
• Selberg Trace Formula: Tool for Studying Spectral Theory and Automorphic Forms
• Langlands Program: Program to Unify Number Theory and Representation Theory
• Hodge Theory: Study of Harmonic Forms on Complex Manifolds
• Riemann Surfaces: One-dimensional Complex Manifolds
• Shimura Varieties: Algebraic Varieties Associated with Automorphic Forms
• Modular Curves: Algebraic Curves Associated with Modular Forms
• Hyperbolic Manifolds: Manifolds with Constant Negative Curvature
• Teichmüller Theory: Study of Moduli Spaces of Riemann Surfaces
• Mirror Symmetry: Duality Between Calabi-Yau Manifolds
• Kähler Geometry: Study of Hermitian Manifolds with Special Symmetries
• Algebraic Groups: Linear Algebraic Groups and Their Representations
• Lie Algebras: Study of Algebraic Structures Arising from Lie Groups
• Representation Theory of Lie Algebras: Study of Representations of Lie Algebras
• Quantum Groups: Deformation of Lie Groups and Lie Algebras
• Algebraic Topology: Study of Topological Spaces Using Algebraic Methods
• Homotopy Theory: Study of Continuous Deformations of Spaces
• Homology Theory: Study of Algebraic Invariants of Topological Spaces
• Cohomology Theory: Study of Dual Concepts to Homology Theory
• Singular Homology: Homology Theory Defined Using Simplicial Complexes
• Sheaf Theory: Study of Sheaves and Their Cohomology
• Differential Forms: Study of Multilinear Differential Forms
• De Rham Cohomology: Cohomology Theory Defined Using Differential Forms
• Morse Theory: Study of Critical Points of Smooth Functions
• Symplectic Geometry: Study of Symplectic Manifolds and Their Geometry
• Floer Homology: Study of Symplectic Manifolds Using Pseudoholomorphic Curves
• Gromov-Witten Invariants: Invariants of Symplectic Manifolds Associated with Pseudoholomorphic Curves
• Mirror Symmetry: Duality Between Symplectic and Complex Geometry
• Calabi-Yau Manifolds: Ricci-Flat Complex Manifolds
• Moduli Spaces: Spaces Parameterizing Geometric Objects
• Donaldson-Thomas Invariants: Invariants Counting Sheaves on Calabi-Yau Manifolds
• Algebraic K-Theory: Study of Algebraic Invariants of Rings and Modules
• Homological Algebra: Study of Homology and Cohomology of Algebraic Structures
• Derived Categories: Categories Arising from Homological Algebra
• Stable Homotopy Theory: Homotopy Theory with Stable Homotopy Groups
• Model Categories: Categories with Certain Homotopical Properties
• Higher Category Theory: Study of Higher Categories and Homotopy Theory
• Higher Topos Theory: Study of Higher Categorical Structures
• Higher Algebra: Study of Higher Categorical Structures in Algebra
• Higher Algebraic Geometry: Study of Higher Categorical Structures in Algebraic Geometry
• Higher Representation Theory: Study of Higher Categorical Structures in Representation Theory
• Higher Category Theory: Study of Higher Categorical Structures
• Homotopical Algebra: Study of Algebraic Structures in Homotopy Theory
• Homotopical Groups: Study of Groups with Homotopical Structure
• Homotopical Categories: Study of Categories with Homotopical Structure
• Homotopy Groups: Algebraic Invariants of Topological Spaces
• Homotopy Type Theory: Study of Foundations of Mathematics Using Homotopy Theory

In conclusion, the world of mathematics is vast and multifaceted, offering endless opportunities for exploration and discovery. Whether delving into the abstract realms of pure mathematics or applying mathematical principles to solve real-world problems, mathematicians play a vital role in advancing human knowledge and shaping the future of our world.

By embracing diverse math research topics and interdisciplinary collaborations, we can unlock new possibilities and harness the power of mathematics to address the challenges of today and tomorrow. So, let’s embark on this journey together as we unravel the mysteries of numbers and explore the boundless horizons of mathematical inquiry.

Related Posts

Step by Step Guide on The Best Way to Finance Car

The Best Way on How to Get Fund For Business to Grow it Efficiently

Leave a comment cancel reply.

Your email address will not be published. Required fields are marked *

• MyU : For Students, Faculty, and Staff

Research Opportunities for Math Undergraduates

Undergraduate mathematics research is an excellent way to connect with faculty, researchers, and existing projects, and to be hands-on with emerging possibilities and challenges within the field. As you build skills like critical thinking and problem-solving, you'll be developing your professional identity. 

Explore research opportunities

National reu listings.

Several organizations maintain lists of REU opportunities across the country:

• National Science Foundation (NSF)
• American Mathematical Society
• Mathematics Project in Minnesota
• U of M Office of Undergraduate Research

Math REUs at the U of M 

• Summer REU program in Combinatorics

Undergraduate Mathematics Office 115 Vincent Hall

[email protected] 612-625-4848

[email protected] Schedule an appointment

• Future undergraduate students
• Future transfer students
• Future graduate students
• Future international students
• Diversity and Inclusion Opportunities
• Learn abroad
• Living Learning Communities
• Mentor programs
• Programs for women
• Student groups
• Visit, Apply & Next Steps
• Information for current students
• Departments and majors overview
• Departments
• Undergraduate majors
• Graduate programs
• Integrated Degree Programs
• Additional degree-granting programs
• Online learning
• Academic Advising overview
• Academic Advising FAQ
• Academic Advising Blog
• Appointments and drop-ins
• Academic support
• Commencement
• Four-year plans
• Honors advising
• Policies, procedures, and forms
• Career Services overview
• Resumes and cover letters
• Jobs and internships
• Interviews and job offers
• CSE Career Fair
• Major and career exploration
• Graduate school
• Collegiate Life overview
• Scholarships
• Diversity & Inclusivity Alliance
• Anderson Student Innovation Labs
• Information for alumni
• Get engaged with CSE
• Upcoming events
• CSE Alumni Society Board
• Alumni volunteer interest form
• Golden Medallion Society Reunion
• 50-Year Reunion
• Alumni honors and awards
• Outstanding Achievement
• Alumni Service
• Distinguished Leadership
• Honorary Doctorate Degrees
• Nobel Laureates
• Alumni resources
• Alumni career resources
• Alumni news outlets
• CSE branded clothing
• International alumni resources
• Inventing Tomorrow magazine
• Update your info
• CSE giving overview
• Why give to CSE?
• College priorities
• Give online now
• External relations
• Giving priorities
• Donor stories
• Impact of giving
• Ways to give to CSE
• Matching gifts
• CSE directories
• Invest in your company and the future
• Recruit our students
• Connect with researchers
• K-12 initiatives
• Diversity initiatives
• Research news
• Give to CSE
• CSE priorities
• Corporate relations
• Information for faculty and staff
• Administrative offices overview
• Office of the Dean
• Academic affairs
• Finance and Operations
• Communications
• Human resources
• Undergraduate programs and student services
• CSE Committees
• CSE policies overview
• Academic policies
• Faculty hiring and tenure policies
• Finance policies and information
• Graduate education policies
• Human resources policies
• Research policies
• Research overview
• Research centers and facilities
• Research proposal submission process
• Research safety
• Award-winning CSE faculty
• National academies
• University awards
• Honorary professorships
• Collegiate awards
• Other CSE honors and awards
• Staff awards
• Performance Management Process
• Work. With Flexibility in CSE
• K-12 outreach overview
• Summer camps
• Outreach events
• Enrichment programs
• Field trips and tours
• CSE K-12 Virtual Classroom Resources
• Educator development
• Sponsor an event

UCI Mathematics

Math undergraduate research resources.

This page was designed to assist mathematics majors to find research on-campus opportunities with UCI faculty or off-campus opportunities with industrial partners, national labs, and other universities. It was last updated on 10/26/2019.

On-Campus Opportunities

1.1. Faculty research interests 1.2. MCBU 1.3. UROP/SURP 1.4. Math 199 1.5. Faculty grants

Off-Campus Opportunities

2.1. Internships 2.2. REUs 2.3. Other mathematics enhancement programs

FAQ’S about Undergraduate Mathematical Research

3.1. How to find faculty mentors at UCI 3.2. How to apply for external programs 3.3. Who is eligible

The UROP Office and their Services

1. On-Campus Opportunities

1.1 faculty research interests.

The faculty in the UCI mathematics department span a wide spectrum of interests and expertise. Active areas of research include: Applied and Computational Mathematics,  Ergodic Theory and Dynamical Systems, Differential Geomtry and Topology, Image Problems and Imaging, Logic and Foundations, Mathematical and Computational Biology, Mathematical Physics, Number Theory, Partial Differential Equations and Probability. 

<--Back to Top

1.2 MCBU - Mathematical and Computational Biology for Undergraduates

MCBU is an NSF-funded program for training and research for UCI undergraduate students in mathematics and biology. The program provides an opportunity for undergraduate students to be trained to work at the interface of mathematics, biology and computation. Students have the opportunity to perform undergraduate research in paired teams of mathematics and biology students. Students will create laboratory data and utilize mathematical and computational tools to analyze their data to address a real world research problem.

Students interested in the MCBU summer research program should first enroll in Math 113A, offered every Spring quarter.

1.3 UROP/SURP

The UCI Undergraduate Research Opportunities Program provides funding for undergraduate research and creative projects mentored by UCI faculty through two separate annual Calls for Proposals , one in the Fall Quarter and one in the Spring Quarter. Once the Calls have been announced, students have approximately one month to submit their proposals. Proposals are evaluated based on the intellectual merit of the student’s research, a complete application, the level of support from the faculty mentor, the student’s transcript, and available funding. Samples of UROP proposals are available on the UROP website .

Students who receive a UROP grant must present their findings at the annual UCI Undergraduate Research Symposium held in May, and are invited to submit their research findings to the UCI Undergraduate Research Journal .

To be eligible for a UROP grant, students must be undergraduates in good academic standing. Students who will graduate within a quarter of submitting their proposal are not eligible to apply. Proposals that do not require funding or are already receiving adequate funding from departmental or other sources may be submitted for an Honorary Fellowship.

The UCI Summer Undergraduate Research Progra m (SURP) provides funding to support students’ research during the summer. Students are given the opportunity to become immersed in a research topic for a full-time ten-week period, or the equivalent of 400 hours, and receive a maximum stipend of $3,000.

To be eligible for a SURP grant, students must be undergraduates in good academic standing. Students must also have been involved in a faculty-mentored research project or creative activity for at least one quarter before the beginning of the Summer (Spring Quarter involvement is acceptable). Students who will graduate within a quarter of submitting their proposal are not eligible to apply. Evaluation criteria for SURP proposal are similar to the UROP’s ones. Moreover, just like for UROP, students who receive a SURP grant must present their findings at the annual UCI Undergraduate Research Symposium held in May are invited to submit their research findings to The UCI Undergraduate Research Journal.

1.4 Math 199

Math 199A-B-C (Special Studies in Mathematics) is a 4-units course designed for outstanding undergraduate mathematics majors who want to be engaged in supervised but independent reading of a mathematical topic or in research work. A student interested in Math 199 needs to register with one particular faculty member. Once the consent of the instructor is obtained, the student can enroll in the course without any additional authorization (following the standard procedures for signing up for a course).

1.5 Faculty grants

Some faculty occasionally have personal grants to support undergraduate student research.

2. Off-Campus Research Opportunities

Several off-campus research opportunities are available. They mainly fall into three categories: internships, REUs (summer programs focused on a single research topic under faculty guidance with a small group of great students) and other mathematics enhancement programs (e.g., programs aimed at prepare students for graduate school).

Most of these programs pay travel, room and board plus a student stipend.

2.1 Internships

Details to be updated soon.

Research Experiences for Undergraduates (or REUs) are among the most prestigious and most competitive summer research programs for undergraduates studying mathematics.

Individual REU sites typically consist of ten undergraduates working on a very specialized math program for 6 to 8 weeks, under direct supervision of some faculty members. Rom and board, along with a stipend for the student are generally provided.

As the program is funded by the NSF, undergraduates must be citizens or permanent residents of the US or its possessions. Applications are typically due between February and March. The length of the application ranges from a single letter of reference without supporting materials all the way up to something comparable to a college admissions application. The programs generally require between one and three letters of reference, a transcript, 0-2 essays, a letter of interest, a resume, a biographical form, or some combination thereof.

Directory of active REU sites  

2.3 Other mathematics enhancement programs

The following list of programs was updated on October 26, 2019

Semester Programs (Domestic And International)

• Budapest Semester in Math
• Math in Moscow
• Penn State’s MASS (Mathematics Advanced Study Semesters) Program

Summer Programs (Domestic And International)

• Park City Math Institute Summer Program for Undergraduates
• University of Nebraska Summer IMMERSE program
• The Summer Math Institute at Cornell University
• The Summer Applied Mathematics Institute at Carnegie Mellon
• UCLA Undergraduate Research center
• The Mathematical and Theoretical Biology Institute Summer Program
• NIH sponsored Summer Institutes for Training in Biostatistics
• At North Carolina State University www.stat.ncsu.edu/sibs/

Specifically for women

• EDGE Summer Program for Women

3. FAQ’S Questions About Undergraduate Mathematical Research

Below you will find answers to a number of frequently asked questions regarding undergraduate research in mathematics. For more information please attend the REU workshop which is organized every year by the department.

3.1 How to find faculty mentors at UCI

Here is some advice:

• Look at faculty research interests
• Take appropriate courses first
• Read math outside of class
• Identify your area of research interests
• Describe yourself- grades, coursework, goals, etc.
• Show you know something about their research area
• Explain what extent of research you desire
• Show your motivation, work ethic, independence, etc.
• For reading courses, explain why you are interested in that topic and how it will fit with your future goals
• Remember you are asking for a giant favor. Research and creative projects require dedication, planning, and a substantial time committment. 

3.2 How to apply for external programs

Basic steps:

• Carefully look at program descriptions
• Follow all application instructions
• Ask for letters of recommendation at least two weeks in advance
• Tailor it to the particular program
• Explain your interest in topic and preparation for it
• Emphasize your unique math experiences
• Deadlines around mid-February.

For tips about requesting a recommendation letter or writing a personal statement please check the Math Grad School Resources page on our website

3.3 Who is eligible?

• Most research opportunities are highly competitive and intended for the advanced math students going to graduate school
• Appropriate preparation is essential for a successful research experience
• Summer REU’s are mostly for students finishing their junior year (maybe sophomore)
• Math 199 course is mainly for seniors in honor’s program or considering grad school
• Some faculty just don’t work with undergrads, because it involves a big time commitment. Don’t take it personally!

4. The UROP Office and their Services

The Undergraduate Research Opportunities Program  (UROP) in the Division of Undergraduate Education encourages and facilitates research and creative activities by undergraduates from all schools and academic disciplines at UCI. On the UROP website you will find sample proposals and guidelines for the UROP/SURP grants, and a long list of  on-campus  and  off-campus research opportunities, including internships, research experiences and fellowships.

The UROP office sponsors a yearly  symposium  for undergraduate research and organizes a series of research-related workshops  for undergraduates throughout the year. Last but not least, UROP offers assistance to students and faculty through all phases of the research process, whether it is with proposal writing, developing research plans through project management skills, awarding grants to fund research projects, scholarly journal writing through  The UCI Undergraduate Research Journal , or presenting results of the research or creative project through the UCI Undergraduate Research Symposium. 

Applied Mathematics

Faculty and students interested in the applications of mathematics are an integral part of the Department of Mathematics; there is no formal separation between pure and applied mathematics, and the Department takes pride in the many ways in which they enrich each other. We also benefit tremendously from close collaborations with faculty and students in other departments at UC Berkeley as well as scientists at  Lawrence Berkeley National Laboratory  and visitors to the  Mathematical Sciences Research Institute .

The Department regularly offers courses in ordinary and partial differential equations and their numerical solution, discrete applied mathematics, the methods of mathematical physics, mathematical biology, the mathematical aspects of fluid and solid mechanics, approximation theory, scientific computing, numerical linear algebra, and mathematical aspects of computer science. Courses in probability theory, stochastic processes, data analysis and bioinformatics are offered by the Department of Statistics, while courses in combinatorial and convex optimization are offered by the Department of Industrial Engineering and Operations Research. Our students are encouraged to take courses of mathematical interest in these and many other departments. Topics explored intensively by our faculty and students in recent years include scientific computation and the mathematical aspects of quantum theory, computational genomics, image processing and medical imaging, inverse problems, combinatorial optimization, control, robotics, shape optimization, turbulence, hurricanes, microchip failure, MEMS, biodemography, population genetics, phylogenetics, and computational approaches to historical linguistics. Within the department we also have a  Laboratory for Mathematical and Computational Biology .

Chair:   Per-Olof Persson

Applied Mathematics Faculty, Courses, Dissertations

Senate faculty, graduate students, visiting faculty, meet our faculty, mina aganagic, david aldous, robert m. anderson, sunčica čanić, jennifer chayes, alexandre j. chorin, paul concus, james w. demmel, l. craig evans, steven n. evans, f. alberto grünbaum, venkatesan guruswami, ole h. hald, william m. kahan, richard karp, michael j. klass, hendrik w. lenstra, jr., lin lin (林霖), michael j. lindsey, c. keith miller, john c. neu, beresford n. parlett.

• 1 of 2 Grid: People (Current page)
• 2 of 2 Grid: People
• next › Grid: People
• last » Grid: People

Researching in Undergraduate Mathematics Education: Possible Directions for Both Undergraduate Students and Faculty

• First Online: 18 April 2020

Cite this chapter

• Milos Savic 5  

Part of the book series: Foundations for Undergraduate Research in Mathematics ((FURM))

1010 Accesses

Research in Undergraduate Mathematics Education (RUME) is a new field to both mathematics and mathematics education. It borrows theory and methodology from other disciplines including psychology, sociology, and neurology. At its core, RUME is attempting to find out about the teaching and learning of undergraduate mathematics education in order to improve it. In this book chapter, I attempt to give a quick overview on how to conduct RUME with undergraduate students. I pull from my experiences as a mentor of ten undergraduate projects. There is also a suggested timeline of RUME in a semester, some ways to generate RUME open questions, and a large amount of open questions conjectured by others. My hope is that this book chapter has information for both mentors and undergraduates alike.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

• Available as EPUB and PDF
• Read on any device
• Instant download
• Own it forever
• Compact, lightweight edition
• Dispatched in 3 to 5 business days
• Free shipping worldwide - see info
• Durable hardcover edition

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

A broad scope of definitions of qualitative research can be found in Chesebro and Borisoff [ 2 ].

How one reads mathematics education literature is, in itself, an open RUME question!

After Paxton submitted her honors thesis, I was so overwhelmed by both the novelty and results of her study that I offered to help her restructure, rewrite, and publish the paper.

Bagnasco, A., Galaverna, L., Aleo, G., Grugnetti, A. M., Rosa, F., Sasso, L.: Mathematical calculation skills required for drug administration in undergraduate nursing students to ensure patient safety: A descriptive study: Drug calculation skills in nursing students. Nurse Ed. in Prac., 16 (1), 33–39. (2016)

Article   Google Scholar  

Chesebro, J. W., Borisoff, D. J.: What makes qualitative research qualitative? Qual. Res. Rep. in Comm., 8 (1), 3–14. (2007)

Collaborative Institutional Training Initiative. Available at https://about.citiprogram.org/en/homepage/

Cook, J. P.: Monster-Barring as a Catalyst for Bridging Secondary Algebra to Abstract Algebra. In N. Wasserman (ed.), Connecting Abstract Algebra to Secondary Mathematics for Secondary Mathematics Teachers , (pp. 47–70). Springer, Cham. (2018)

Google Scholar  

Ellis, J. Cooper, R.: Gender, switching, and student perceptions of Calculus I. In T. Fukawa-Connelly, N. Infante, M. Wawro, & S. Brown (eds.), Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education (pp. 125–135). Pittsburgh, PA (2016)

Ellis, J., Fosdick, B. K., Rasmussen, C.: Women 1.5 times more likely to leave STEM pipeline after calculus compared to men: Lack of mathematical confidence a potential culprit. PLoS One, 11 (7), e0157447 (2016)

Emigh, P. J., Manogue, C. A.: Student Interpretations of Partial Derivatives. In Proceedings of the 2017 Physics Education Research Conference . ComPADRE (2017)

Grootenboer, P., Marshman, M.: Mathematics, Affect and Learning: Middle School Students? Beliefs and Attitudes About Mathematics Education. Springer (2015)

Hopko, D.R., Mahadevan, R., Bare, R.L., Hunt, M.K.: The abbreviated math anxiety scale (AMAS) construction, validity, and reliability. Assessment, 10 (2), 178–182. (2003)

Larnell, G. V.: More than just skill: Examining mathematics identities, racialized narratives, and remediation among black undergraduates. J. for Res. in Math. Ed., 47 (3), 233–269. (2016)

Leyva, L. A.: Unpacking the male superiority myth and masculinization of mathematics at the intersections: A review of research on gender in mathematics education. J. for Res. in Math. Ed., 48 (4), 397–433. (2017)

Liljedahl, P.: The AHA! experience: Mathematical contents, pedagogical implications. Doctoral dissertation. Simon Frasier University, Vancouver (2004)

Lithner, J.: Mathematical reasoning in calculus textbook exercises. J. of Math. Beh., 23 (4), 405–427. (2004)

Liu, Y., Ferrell, B., Barbera, J., Lewis, J.E.: Development and evaluation of a chemistry-specific version of the academic motivation scale (AMS-Chemistry). Chem. Ed. Res. and Prac., 18 (1), 191–213. (2017)

Melhuish, K.: Three conceptual replication studies in group theory. J. for Res. in Math. Ed., 49 (1), 9–38. (2018)

Mkhatshwa, T., Doerr, H. M.: Opportunity to learn solving context-based tasks provided by business calculus textbooks: An exploratory study. In T. Fukawa-Connelly, N. Infante, M. Wawro, & S. Brown (eds.), Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education (pp. 1124–1132). Pittsburgh, PA (2016)

Nusbaum, N. J.: Perspectives: mathematics preparation for medical school: do all premedical students need calculus? Teach. Learn. Med., 18 , 165–168. (2006).

Pajares, M. F.: Teachers’ beliefs and educational research: Cleaning up a messy construct. Rev. of Ed. Res., 62 (3), 307–332. (1992)

Ryan, R., Deci. E.: Self-Determination Theory and the Facilitation of Intrinsic Motivation, Social Development, and Well-Being. Am. Psyc., 55 , 68–78. (2000)

Saldaña, J.: The coding manual for qualitative researchers. Sage (2015)

Savic, M.: The incubation effect: How mathematicians recover from proving impasses. J. of Math. Beh., 39 , 67–78. (2015)

Savic, M., Martin, P.: The perceived vs. actual use of mathematics in medicine according to pre-medicine students and practicing physicians. Tea. Math. and Its App. (2017) doi: https://doi.org/10.1093/teamat/hrx011

Selden, A.: A home for RUME: The story of the formation of the Mathematical Association of America’s Special Interest Group on Research in Mathematics Education. Technical Report 2012-6, Tennessee Technological University, Cookeville, TN, USA. (2012)

Selden, A., Selden, J.: Collegiate mathematics education research: What would that be like? The Col. Math. J., 24 (5), 431–445. (1993)

Sio, U. N., Ormerod, T. C.: Does incubation enhance problem solving? A meta-analytic review. Psyc. Bull., 35 , 94–120. (2009)

Speer, N., Kung, D.: The complement of RUME: What’s missing from our research? In T. Fukawa-Connelly, N. Infante, M. Wawro, & S. Brown (Eds.), Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education (pp. 1288–1295). Pittsburgh, PA (2016)

Steffe, L. P., Thompson, P. W.: Teaching experiment methodology: Underlying principles and essential elements. In A.E. Kelly, R.A. Lesh (eds.) Handbook of research design in mathematics and science education , (pp. 267–306). Routledge. (2000)

Swinyard, C. A., Lockwood, E.: Research on students’ reasoning about the formal definition of limit: An evolving conceptual analysis. In Proceedings of the 10th Conference on Research in Undergraduate Mathematics Education (CRUME2007). (2007)

Tallman, M. A., Carlson, M. P., Bressoud, D. M., Pearson, M.: A characterization of calculus I final exams in US colleges and universities. Int. J. of Res. in Und. Math. Ed., 2 (1), 105–133. (2016)

Tudge, J. R., Winterhoff, P. A.: Vygotsky, Piaget, and Bandura: Perspectives on the relations between the social world and cognitive development. Human Dev., 36 (2), 61–81. (1993)

Download references

Acknowledgements

Thank you to the editors for even considering me; it was an honor. Thank you to Emily Cilli-Turner and Estrella Johnson for reading and making comments prior to submission while always being supportive. I am always indebted to my advisors for their support and care for my professional well-being, while allowing me to be myself throughout this academic journey. Finally, to my family; they are my energy, life, and love.

Author information

Authors and affiliations.

University of Oklahoma, Norman, OK, USA

Milos Savic

You can also search for this author in PubMed   Google Scholar

Corresponding author

Correspondence to Milos Savic .

Editor information

Editors and affiliations.

Mathematics, Williams College, Williamstown, MA, USA

Pamela E. Harris

Mathematics, Florida Gulf Coast University, Fort Myers, FL, USA

Mathematics, University of Portland, Portland, OR, USA

Aaron Wootton

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Savic, M. (2020). Researching in Undergraduate Mathematics Education: Possible Directions for Both Undergraduate Students and Faculty. In: Harris, P., Insko, E., Wootton, A. (eds) A Project-Based Guide to Undergraduate Research in Mathematics. Foundations for Undergraduate Research in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-37853-0_10

Download citation

DOI : https://doi.org/10.1007/978-3-030-37853-0_10

Published : 18 April 2020

Publisher Name : Birkhäuser, Cham

Print ISBN : 978-3-030-37852-3

Online ISBN : 978-3-030-37853-0

eBook Packages : Mathematics and Statistics Mathematics and Statistics (R0)

Share this chapter

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

• Publish with us

Policies and ethics

• Find a journal
• Track your research

• Math Careers

Search form

• MAA Centennial
• Spotlight: Archives of American Mathematics
• MAA Officers
• MAA to the Power of New
• Council and Committees
• MAA Code of Conduct
• Policy on Conflict of Interest
• Statement about Conflict of Interest
• Recording or Broadcasting of MAA Events
• Policy for Establishing Endowments and Funds
• Avoiding Implicit Bias
• Copyright Agreement
• Principal Investigator's Manual
• Planned Giving
• The Icosahedron Society
• Our Partners
• Advertise with MAA
• Employment Opportunities
• Staff Directory
• 2022 Impact Report
• In Memoriam
• Membership Categories
• Become a Member
• Membership Renewal
• MERCER Insurance
• MAA Member Directories
• New Member Benefits
• The American Mathematical Monthly
• Mathematics Magazine
• The College Mathematics Journal
• How to Cite
• Communications in Visual Mathematics
• About Convergence
• What's in Convergence?
• Convergence Articles
• Mathematical Treasures
• Portrait Gallery
• Paul R. Halmos Photograph Collection
• Other Images
• Critics Corner
• Problems from Another Time
• Conference Calendar
• Guidelines for Convergence Authors
• Math Horizons
• Submissions to MAA Periodicals
• Guide for Referees
• Scatterplot
• Math Values
• MAA Book Series
• MAA Press (an imprint of the AMS)
• MAA Library Recommendations
• Additional Sources for Math Book Reviews
• About MAA Reviews
• Mathematical Communication
• Information for Libraries
• Author Resources
• MAA MathFest
• Proposal and Abstract Deadlines
• MAA Policies
• Invited Paper Session Proposals
• Contributed Paper Session Proposals
• Panel, Poster, Town Hall, and Workshop Proposals
• Minicourse Proposals
• MAA Section Meetings
• Virtual Programming
• Joint Mathematics Meetings
• Calendar of Events
• MathFest Programs Archive
• MathFest Abstract Archive
• Historical Speakers
• Information for School Administrators
• Information for Students and Parents
• Registration
• Getting Started with the AMC
• AMC Policies
• AMC Administration Policies
• Important AMC Dates
• Competition Locations
• Invitational Competitions
• Putnam Competition Archive
• AMC International
• Curriculum Inspirations
• Sliffe Award
• MAA K-12 Benefits
• Mailing List Requests
• Statistics & Awards
• Submit an NSF Proposal with MAA
• MAA Distinguished Lecture Series
• Common Vision
• CUPM Curriculum Guide
• Instructional Practices Guide
• Möbius MAA Placement Test Suite
• META Math Webinar May 2020
• Progress through Calculus
• Survey and Reports
• "Camp" of Mathematical Queeries
• DMEG Awardees
• National Research Experience for Undergraduates Program (NREUP)
• Neff Outreach Fund Awardees
• Tensor SUMMA Grants
• Tensor Women & Mathematics Grants
• Grantee Highlight Stories
• "Best Practices" Statements
• CoMInDS Summer Workshop 2023
• MAA Travel Grants for Project ACCCESS
• 2024 Summer Workshops
• Minority Serving Institutions Leadership Summit
• Previous Workshops
• Frequently Asked Questions
• Course Resources
• Industrial Math Case Studies
• Participating Faculty
• 2020 PIC Math Student Showcase
• Previous PIC Math Workshops on Data Science
• Dates and Locations
• Past Programs
• Leadership Team
• Support Project NExT
• Section NExT
• Section Officers Meeting History
• Preparations for Section Meetings
• Bylaws Template
• Editor Lectures Program
• MAA Section Lecturer Series
• Officer Election Support
• Section Awards
• Section Liaison Programs
• Section Visitors Program
• Expense Reimbursement
• Guidelines for Bylaw Revisions
• Guidelines for Local Arrangement Chair and/or Committee
• Guidelines for Section Webmasters
• MAA Logo Guidelines
• MAA Section Email Policy
• Section Newsletter Guidelines
• Statement on Federal Tax ID and 501(c)3 Status
• Communication Support
• Guidelines for the Section Secretary and Treasurer
• Legal & Liability Support for Section Officers
• Section Marketing Services
• Section in a Box
• Subventions and Section Finances
• Web Services
• Joining a SIGMAA
• Forming a SIGMAA
• History of SIGMAA
• SIGMAA Officer Handbook
• MAA Connect
• Meetings and Conferences for Students
• Opportunities to Present
• Information and Resources
• MAA Undergraduate Student Poster Session
• Undergraduate Research Resources
• MathFest Student Paper Sessions
• Research Experiences for Undergraduates
• Student Poster Session FAQs
• High School
• A Graduate School Primer
• Reading List
• Student Chapters
• Awards Booklets
• Carl B. Allendoerfer Awards
• Regulations Governing the Association's Award of The Chauvenet Prize
• Trevor Evans Awards
• Paul R. Halmos - Lester R. Ford Awards
• Merten M. Hasse Prize
• George Pólya Awards
• David P. Robbins Prize
• Beckenbach Book Prize
• Euler Book Prize
• Daniel Solow Author’s Award
• Henry L. Alder Award
• Deborah and Franklin Tepper Haimo Award
• Certificate of Merit
• Gung and Hu Distinguished Service
• JPBM Communications Award
• Meritorious Service
• MAA Award for Inclusivity
• T. Christine Stevens Award
• Dolciani Award Guidelines
• Morgan Prize Information
• Selden Award Eligibility and Guidelines for Nomination
• Selden Award Nomination Form
• AMS-MAA-SIAM Gerald and Judith Porter Public Lecture
• Etta Zuber Falconer
• Hedrick Lectures
• James R. C. Leitzel Lecture
• Pólya Lecturer Information
• Putnam Competition Individual and Team Winners
• D. E. Shaw Group AMC 8 Awards & Certificates
• Maryam Mirzakhani AMC 10 A Awards & Certificates
• Two Sigma AMC 10 B Awards & Certificates
• Jane Street AMC 12 A Awards & Certificates
• Akamai AMC 12 B Awards & Certificates
• High School Teachers
• MAA Social Media

You are here

Preparing posters and presentations.

Many conferences in the lists below have undergraduate poster or presentation sessions.  For students new to poster preparation, please visit our  student information and resources page  and also our  outstanding posters page .

Journals that Publish Undergraduate Research

The Center for Undergraduate Research in Mathematics (CURM) at Brigham Young University has a  list of journals  that publishes undergraduate research. 

Conferences

Nationwide, there are many opportunities for undergraduate mathematics students to present their research.  Check out this list to get started!

Dummy View - NOT TO BE DELETED

Communities

• MAA Sections
• Student Resources
• MAA History
• Policies and Procedures
• Support MAA
• Member Discount Programs
• Periodicals
• MAA Reviews
• Propose a Session
• MathFest Archive
• Putnam Competition
• AMC Resources
• Curriculum Resources
• Outreach Initiatives
• Professional Development

Connect with MAA

Mathematical Association of America P: (800) 331-1622 F: (240) 396-5647 Email: [email protected]

Copyright © 2024

• Terms of Use
• Privacy Policy
• Mobile Version

Search Icon

Events See all →

2024 models of excellence.

4:00 p.m. - 6:30 p.m.

Penn Museum, 3260 South St.

Difficult Grace

Annenberg Center for the Performing Arts, 3680 Walnut St.

Earth Week 2024

This is a campuswide week of events, lectures, and volunteer opportunities designed to educate and inspire action related to environmental justice, climate, and nature-based solutions. This year’s theme is Restore & Regenerate.

Various locations

Take Our Children to Work Day

Campus & Community

Four Penn undergrads are 2024 Goldwater Scholars

Goldwater scholarships are awarded to students planning research careers in mathematics, the natural sciences, or engineering..

Four University of Pennsylvania undergraduates have received 2024 Goldwater Scholarships , awarded to second- or third-year students planning research careers in mathematics, the natural sciences, or engineering.

Penn’s 2024 Goldwater Scholars are third-years Hayle Kim, Eric Myzelev, and Eric Tao in the College of Arts and Sciences , and Kaitlin Mrksich in the School of Engineering and Applied Science .

They are among the 438 students named 2024 Goldwater Scholars from 1,353 undergraduates students nominated by 446 academic institutions in the United States, according to the Barry Goldwater Scholarship & Excellence in Education Foundation . Each scholarship provides as much as $7,500 each year for as many as two years of undergraduate study.

The students applied for the Goldwater Scholarship with assistance from Penn’s Center for Undergraduate Research and Fellowships . Penn has had 63 Goldwater Scholars named since Congress established the scholarship in 1986 to honor U.S. Senator Barry Goldwater.

Kim, from Knoxville, Tennessee, is majoring in neuroscience. She works in the lab of Matthew Kayser at Penn Medicine , where she studies the molecular basis of sleep maturation using Drosophila melanogaster as a model organism. At Penn, Kim is the co-founder and co-president of the undergraduate chapter of the Asian Pacific American Medical Student Association , and was the internal vice president of the Penn Korean Student Association . She is a teaching assistant for the course Chronobiology and Sleep taught by David Raizen , professor of neurology, and has been a learning assistant and peer tutor for general chemistry. Kim is a University Scholar and CURF Research Peer Advisor . She volunteers for the nonprofit One House at a Time in its Beds for Kids program, and in the emergency department of the Children's Hospital of Philadelphia . After graduating, Kim plans to pursue an M.D./Ph.D. in neuroscience.

Mrksich, from Hinsdale, Illinois, is majoring in bioengineering. She is interested in developing drug delivery systems that can serve as novel therapeutics for a variety of diseases. Mrksich works in the lab of Michael J. Mitchell where she investigates the ionizable lipid component of lipid nanoparticles for mRNA delivery. At Penn, Mrksich is the president of the Biomedical Engineering Society , where she plans community building and professional development events for bioengineering majors. She is a member of the Kite and Key Society , where she organizes virtual programming to introduce prospective students to Penn. She is a member of Tau Beta Pi engineering honor society, and the Sigma Kappa sorority. She also teaches chemistry to high schoolers as a volunteer in the West Philadelphia Tutoring Project through the Civic House . After graduating, Mrksich plans to pursue an M.D./Ph.D. in bioengineering.

Myzelev, from Toronto, is majoring in mathematics, with a minor in computer and information science, and is submatriculating for a master’s degree. His research interests include algebra, combinatorics, and using deep learning to solve partial differential equations. Myzelev has worked on numerous research projects in combinatorics and deep learning, has both a co-authored publication and an accepted paper, and has presented his work at several international conferences. Myzelev has been a research assistant for Sasha Indarte , assistant professor of finance at the Wharton School, using recurrent neural networks to identify racial biases in personal bankruptcy outcomes, and he was an intern with the Penn Wharton Budget Model . He is a problem writer for the Canadian Astronomy and Astrophysics Olympiad and an event supervisor for Science Olympiad at Penn . After graduating, Myzelev plans to pursue a Ph.D. in math and research algebraic geometry and combinatorics.

Tao, from Wallingford, Pennsylvania, is majoring in cognitive science, mathematics, and logic, with a focus on language and the mind. They are interested in related fields including physics, linguistics, and logic. Tao studies the neuroscience of social behavior under Marc Schmidt , professor of biology, using multimodal mating displays in the brown-headed cowbird as a model system. Tao co-founded the Penn Math Contest to promote enthusiasm for mathematics among high schoolers, and volunteers with similar organizations such as Science Olympiad at Penn . Tao also works as a teaching assistant in Penn’s Mathematics Department . After graduating, Tao plans to pursue a graduate degree in computational neuroscience.

Penn celebrates operation and benefits of largest solar power project in Pennsylvania

Arts, Humanities, & Social Sciences

‘The Illuminated Body’ fuses color, light, and sound

A new Arthur Ross Gallery exhibition of work by artist Barbara Earl Thomas features cut-paper portraits reminiscent of stained glass and an immersive installation constructed with intricately cut material lit from behind.

25 years of ‘LOVE’

The iconic sculpture by pop artist Robert Indiana arrived on campus in 1999 and soon became a natural place to come together.

Health Sciences

Two-and-a-half decades of research in Malawi

As the country’s life expectancy has risen, the Malawi Longitudinal Study of Families and Health has shifted its current and future research to aging.

Science & Technology

In hot water: Coral resilience in the face of climate change

Over a decade, researchers from Penn studied coral species in Hawaii to better understand their adaptability to the effects of climate change.

An official website of the United States government

Here's how you know

Official websites use .gov A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS. A lock ( Lock Locked padlock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

• Search Awards
• Recent Awards
• Presidential and Honorary Awards
• About Awards
• How to Manage Your Award
• Grant General Conditions
• Cooperative Agreement Conditions
• Special Conditions
• Federal Demonstration Partnership
• Policy Office Website

Please report errors in award information by writing to: [email protected] .

April 5, 2024

Guilford Undergraduate Symposium Covers a Variety of Topics, Research

Lydia Jacob '27 discusses her poster project at GUS.

More than 80 students took part in the College's annual symposium, which features a wide range of topics.

“This is a bit of a passion project for me. It’s of extreme personal importance so I hope my presentation was informative – I think it was.” Jordan Fridley '23 GUS participant

Jordan Fridley ’24 has seen the stigmatization of trangender students like themself. That’s why Jordan knew the importance of their thesis project, “Aliens from Mars: The Experience of Transgender Students in Triad Colleges and Universities, 1974-2017,” which was presented April 3 at the College’s annual Guilford Undergraduate Symposium (GUS).

Jordan, a Hege Research Award winner this academic year, was one of more than 80 other Guilford students who took part in the 15th annual Symposium, which celebrates the College’s diversity, depth and scholarly research.

Jordan’s research included archived work and personal interviews of the transgender community. They said it “was important to retrieve and record the tansgendered community’s history to violence and minority stress theory.”

“There’s a stigmatization against trans identities,” Jordan says. “There’s also issues with hate crime, with poverty. People who experience the stress of being a marginalized group will experience more mental and physical health issues later in life.”

Jordan says there’s a higher than average suicide rate for trangendered people compared to the rest of society. “In order to preserve that history and limit the taboo nature of trans issues, we need to look at these people as historical figures rather than people who can and should be omitted.”

“This is a bit of a passion project for me,” says Jordan. “It’s of extreme personal importance so I hope my presentation was informative – I think it was.”

Judging from the audience’s reaction in the Hege Academic Commons, others agreed. Students lined up after the session to ask Jordan more questions and thanked them for their research and presentation.

In other presentations, Kevin Buikpor ’24 reported on the Raspberry Pi Network Monitoring System. Axel Sandoval ’24 explored the relationship between music and technology in the modern age. Andriquez Brooks ’23, Ariel Morley ’25, Avery Reuter Lorenzana ’23 and Josia Rich ’25 analyzed “Grimm’s Fairy Tales.”

Since the first Guilford Undergraduate Symposium was held in 2008, nearly 1,600 students representing various disciplines have presented their creative work. Video, sculpture, readings, music, dance, talks, posters, exhibitions of art, costumes, and education resources, demonstrations, and some presentations that are difficult to classify have been part of GUS.  

Share This!

Zulfiya Tursunova Presents at Conference

Finding her edge in excellence, guilford college announces personnel reductions, we’ve saved your selection..

If you would like to keep your notes for further reference, please create an account.

Already have an account? Log in

Coffee, Cookies, Computers: Data Structures and Mathematics in the Humanities

Please join us for an informal, open, methods-based conversation with our guest Professor Jessica Otis. The starting topic for the event will be Data Structuring and Mathematics' place in Humanities research. We welcome people of all expertise interested in this topic. If you have any questions, please reach out to cesta_stanford [at] stanford.edu (cesta_stanford[at]stanford[dot]edu) .

var _gaq = _gaq || []; _gaq.push(['_setAccount', 'UA-21462253-7']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })();

• Skip to Content
• Current Students
• Prospective Students
• Faculty & Staff

Bailey College of Science and Mathematics

Enhancing lives through learning, discovery and innovation.

• University Information
• Center for Teaching, Learning & Technology
• Information Technology Services (ITS)
• Student Planning Calendar

Website Update

• Submit Update Request

DEI Events in the Bailey College

FREE FILM SCREENING:

Journeys of black mathematicians: forging resilience april 9 and april 11, 2024.

April 9 and April 11, 2024 6 p.m. University Union, Room 220

Refreshments provided! Free admission, all welcome!

Visit the Journeys of Black Mathematicians website to learn more about the film. Presented by the Bailey College Committee for Inclusion and Equity Sponsored by the Bailey College Inclusion and Equity Fund

Check back to see future events posted!

Let us know if you are planning a Bailey College event related to diversity, equity and inclusion. Email us at [email protected] .

Past events and programs sponsored the Bailey College Inclusion and Equity Fund

Adaptive Paddling Program (APP)

Read the article, "The Outdoors is for Everyone" in Cal Poly Magazine.

RELEVANT LINKS AND RESOURCES

The Bailey College Inclusion and Equity Committee (IDEAS) Learn about the committee's vision, mission, values and objectives.

The Bailey College Inclusion and Equity Fund Learn about and apply for available funding to support important learning and work associated with equity, inclusion, diversity and social justice.

COSAM Connections Learn about the Bailey College's peer mentoring program in which students are paired with someone invested in their success.

Cal Poly's Office of University Diversity and Inclusion (OUDI) Learn about campuswide resources and objectives related to diversity, equity and inclusion.

Bias Incident Reporting Learn about how the campus Bias Incident Reporting Team serves and supports Cal Poly students, faculty and staff in an effort to empower a positive learning and working community.

Related Content

Intersections Magazine - 2023

DEI in the Bailey College

Learn more here

Support Learn By Doing in the Bailey College

Support Learn by Doing

Mathematics at MIT is administratively divided into two categories: Pure Mathematics and Applied Mathematics. They comprise the following research areas:

Pure Mathematics

• Algebra & Algebraic Geometry
• Algebraic Topology
• Analysis & PDEs
• Mathematical Logic & Foundations
• Number Theory
• Probability & Statistics
• Representation Theory

Applied Mathematics

In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications.

• Combinatorics
• Computational Biology
• Physical Applied Mathematics
• Computational Science & Numerical Analysis
• Theoretical Computer Science
• Mathematics of Data

Read our research on: Gun Policy | International Conflict | Election 2024

Regions & Countries

About half of americans say public k-12 education is going in the wrong direction.

About half of U.S. adults (51%) say the country’s public K-12 education system is generally going in the wrong direction. A far smaller share (16%) say it’s going in the right direction, and about a third (32%) are not sure, according to a Pew Research Center survey conducted in November 2023.

Pew Research Center conducted this analysis to understand how Americans view the K-12 public education system. We surveyed 5,029 U.S. adults from Nov. 9 to Nov. 16, 2023.

The survey was conducted by Ipsos for Pew Research Center on the Ipsos KnowledgePanel Omnibus. The KnowledgePanel is a probability-based web panel recruited primarily through national, random sampling of residential addresses. The survey is weighted by gender, age, race, ethnicity, education, income and other categories.

Here are the questions used for this analysis , along with responses, and the survey methodology .

A majority of those who say it’s headed in the wrong direction say a major reason is that schools are not spending enough time on core academic subjects.

These findings come amid debates about what is taught in schools , as well as concerns about school budget cuts and students falling behind academically.

Related: Race and LGBTQ Issues in K-12 Schools

Republicans are more likely than Democrats to say the public K-12 education system is going in the wrong direction. About two-thirds of Republicans and Republican-leaning independents (65%) say this, compared with 40% of Democrats and Democratic leaners. In turn, 23% of Democrats and 10% of Republicans say it’s headed in the right direction.

Among Republicans, conservatives are the most likely to say public education is headed in the wrong direction: 75% say this, compared with 52% of moderate or liberal Republicans. There are no significant differences among Democrats by ideology.

Similar shares of K-12 parents and adults who don’t have a child in K-12 schools say the system is going in the wrong direction.

A separate Center survey of public K-12 teachers found that 82% think the overall state of public K-12 education has gotten worse in the past five years. And many teachers are pessimistic about the future.

Related: What’s It Like To Be A Teacher in America Today?

Why do Americans think public K-12 education is going in the wrong direction?

We asked adults who say the public education system is going in the wrong direction why that might be. About half or more say the following are major reasons:

• Schools not spending enough time on core academic subjects, like reading, math, science and social studies (69%)
• Teachers bringing their personal political and social views into the classroom (54%)
• Schools not having the funding and resources they need (52%)

About a quarter (26%) say a major reason is that parents have too much influence in decisions about what schools are teaching.

How views vary by party

Americans in each party point to different reasons why public education is headed in the wrong direction.

Republicans are more likely than Democrats to say major reasons are:

• A lack of focus on core academic subjects (79% vs. 55%)
• Teachers bringing their personal views into the classroom (76% vs. 23%)

In turn, Democrats are more likely than Republicans to point to:

• Insufficient school funding and resources (78% vs. 33%)
• Parents having too much say in what schools are teaching (46% vs. 13%)

Views also vary within each party by ideology.

Among Republicans, conservatives are particularly likely to cite a lack of focus on core academic subjects and teachers bringing their personal views into the classroom.

Among Democrats, liberals are especially likely to cite schools lacking resources and parents having too much say in the curriculum.

Note: Here are the questions used for this analysis , along with responses, and the survey methodology .

Sign up for our weekly newsletter

Fresh data delivered Saturday mornings

‘Back to school’ means anytime from late July to after Labor Day, depending on where in the U.S. you live

Among many u.s. children, reading for fun has become less common, federal data shows, most european students learn english in school, for u.s. teens today, summer means more schooling and less leisure time than in the past, about one-in-six u.s. teachers work second jobs – and not just in the summer, most popular.

About Pew Research Center Pew Research Center is a nonpartisan fact tank that informs the public about the issues, attitudes and trends shaping the world. It conducts public opinion polling, demographic research, media content analysis and other empirical social science research. Pew Research Center does not take policy positions. It is a subsidiary of The Pew Charitable Trusts .