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Athina Avrantini
Chayansudha Biswas
Eben Blaisdell
Nikita Borisov
Ellis Buckminster
Maxine Calle
Krishan Canzius
Avik Chakravarty
Jae Ho Choi
Daebeom Choi
Frenly Espino
Yam Felsenstein
Collin Free
Julian Gould
Colton Griffin
Zhenyue Guan
Isaiah Hilsenrath
Saul Hilsenrath
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Keyuan Huang
Kaitian Jin
215-573-9857
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Emmett Lennen
Tianyue Liu
215-573-9190
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Elle Pishevar
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Deependra Singh
Matthew Stevens
Hunter Stufflebeam
Joshua Tabb
Kartik Tandon
Jacob A. Van Hook
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Zhecheng Wu
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Mathematics, PhD
The Department of Mathematics of the University of Pennsylvania offers a full Graduate Program in Mathematics, conferring the degrees of Master of Arts (A.M.), Master of Philosophy (M.Phil.), and Doctor of Philosophy (Ph.D.). The educational aim of this program is to provide well-rounded mathematical training for a career of research and teaching in mathematics, as well as for other careers which use advanced mathematics in a substantial way. Students are offered the possibility of a dual Ph.D. degree in Mathematics and a Masters degree in other subjects, including physics and computer science.
This program covers a variety of areas, including analysis, geometry-topology, algebra, mathematical physics, combinatorics, logic, and probability. See our Graduate Mathematics Page and our Math Department home page for detailed information about other aspects of this program and of the Penn Math Department as a whole, including its colloquia, seminars and lecture series, and the research interests of the faculty.
Full time Ph.D. students receive financial support for five years, at least two of which are in the form of a fellowship.
In addition, Penn offers an interdisciplinary graduate program in Applied Mathematics and Computational Science , for which there is separate application process.
For more information: https://www.math.upenn.edu/graduate/
View the University’s Academic Rules for PhD Programs .
Sample Plan of Study
A total of 20 course units are required for graduation.
The degree and major requirements displayed are intended as a guide for students entering in the Fall of 2023 and later. Students should consult with their academic program regarding final certifications and requirements for graduation.
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Maxine Elena Calle
Mathematics graduate student.
Pronouns: she/her or they/them
Email: callem “at” sas “dot” upenn “dot” edu
- My name is pronounced “mack-SEEN eh-LEH-na CAH-shay.” I grew up in San Diego, CA, and I attended the Waldorf School of San Diego. My high school education inspired me to do a lot of art, music, and performance. (You can check out some of my art and stuff here .)
- I got a B.A. in math in 2020 from Reed College in Portland, OR. I started out as a Philosophy major, but switched to Math at the end of my second year. I worked closely with Kyle Ormsby and Angélica Osorno , and they both got me into algebraic topology. I also worked with Paul Hovda in the Philosophy department, thinking about stuff like mathematical structuralism. I was featured on What is a Reedie? where I talk a bit about myself, my undergraduate thesis , and my Reed College experience. Read my full responses here .
- My REU experience with Corey Dunn convinced me to pursue math graduate school. I started my Ph.D. at the University of Pennsylvania in the Fall of 2020. I passed my oral exam in Spring 2022 (here’s the syllabus and my master’s thesis ).
- In Summer 2023, I was an AAAS-AMS Mass Media Fellow at The Conversation US . Learn more about what I worked on here or check out my article for AMS Notices .
Upcoming Travel and Conferences
- February 2024: AIM SQuaReS program; Pasadena, CA.
- March 2024: Bloomington topology seminar; UI Bloomington, IN.
- April 2024: GeMTRAK; University of Pennsylvania, PA.
- July 2024: Scissors congruences, algebraic K-theory and Steinberg modules AIM Workshop; Caltech, CA.
- January 2025: AIM SQuaReS program; Pasadena, CA.
- January 2024: University of Minnesota topology seminar; UMN, MN.
- January 2024: Higher Segal spaces and their applications to algebraic K-theory, Hall algebras, and combinatorics BIRS Workshop; Banff, Alberta (Canada).
- January 2024: JMM; San Francisco, CA.
- December 2023: Math PATCH Seminar; University of Pennsylvania, PA.
- November-December 2023: Spaces of Manifolds: Algebraic and Geometric Approaches BIRS Workshop; Banff, Alberta (Canada).
- November 2023: Loyola University TACO seminar; Chicago, IL.
- November 2023: Michigan State University RTG seminar; MSU, MI.
- September 2023: Binghamton University Geometry and Topology seminar; SUNY Binghamton, NY.
- July 2023: Scissors Congruence, Algebraic K -theory, and Trace Methods summer school; Indiana University, IN.
- June 2023: Mass Media Fellow orientation; Washington D.C.
- June 2023: Talbot Workshop; McGrath, MN.
- May 2023: UCLA algebraic topology seminar; Los Angeles, CA.
- May 2023: UCSD topology seminar; San Diego, CA.
- April 2023: Midwest Topology Seminar; Purdue University, IN.
- April 2023: Purdue University topology seminar; Lafayette, IN.
- April 2023: Mid-Atlantic Topology Conference; University of Pennsylvania, PA.
- April 2023: University of Rochester topology seminar; Rochester, NY.
- March 2023: Math PATCH Seminar; Bryn Mawr College, PA.
- February 2023: University of Virginia topology seminar; Charlottesville, VA.
- January 2023: Spring Opportunities Workshop; Institute for Advanced Study, NJ.
- November 2022: Binghamton University Graduate Combinatorics, Algebra, and Topology (BUGCAT) Conference; SUNY Binghamton, NY.
- September 2022: Floer Homotopy Theory Connections Workshop and Introductory Workshop; MSRI, CA.
- August 2022: RTG Collaborative Workshop in Homotopy Theory; Good Place Farms, VA.
- July 2022: Séminaire de Mathématiques Supérieures: Floer Homotopy Theory; University of British Columbia, Vancouver (Canada).
- June 2022: Talbot Workshop; New Lebanon, NY.
- May-June 2022: Algebraic Structures in Topology; San Juan, PR.
- May 2022: Graduate Student Conference in Algebra, Geometry, and Topology; Temple University, PA.
- May 2022: Cornell Topology Festival; Cornell University, NY.
- April 2022: Math PATCH Seminar; Temple University, PA.
- February 2022: MATH for all in Nola; online .
- October 2021: Math PATCH Seminar; Bryn Mawr College, PA.
- July 2021: PCMI's "Illustrating Mathematics" Graduate Summer School; online .
- Summer 2021: Algebraic Topology Bridge Summer Workshop; online .
- April 2021: Underrepresented Students in Algebra and Topology Research Symposium (USTARS); online .
- April 2021: Graduate Student Topology and Geometry Conference (GSTGC); online .
- November 2020: Binghamton University Graduate Conference in Algebra and Topology (BUGCAT); online .
- September 2020: Cascade Topology seminar; online .
- Summer 2020: Algebraic Topology Bridge Summer Workshop; online .
- Summer 2020: Graduates Reminisce Online on Topology seminar (GROOT); online .
- January 2020: Nebraska Conference for Undergraduate Women in Mathematics (NCUWM); University of Nebraska-Lincoln, NE.
- May 2019: Women and Mathematics (WAM); Institute for Advanced Study, NJ.
- Summer 2019: Collaborative Mathematics Research Group (CMRG); Reed College, OR.
- January 2019: Joint Mathematics Meetings (JMM); Baltimore, MD.
- November 2018: Undergraduate Mathematics Symposium (UMS); University of Illinois at Chicago, IL.
- November 2018: Northwest Undergraduate Mathematics Symposium (NUMS); Willamette University, OR.
- Summer 2018: NSF REU program; California State University, San Bernardino, CA.
Some links: Math at Penn | Lathisms | Spectra | Quanta's map of mathematics | Tips on (bad) mathematical writing | How to write a crap philosophy essay | A brief, incomplete, and mostly wrong history of programming languages | Some spurious correlations | FAQ: The "snake-fight" portion of your thesis defense | Resources for homotopy theory and K-theory
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Contact Department of Mathematics. David Rittenhouse Lab. 209 South 33rd Street Philadelphia, PA 19104-6395 Email: math@math.upenn.edu Phone: (215) 898-8178 & 898-8627 Fax: (215) 573-4063
Mathematics, PhD. The Department of Mathematics of the University of Pennsylvania offers a full Graduate Program in Mathematics, conferring the degrees of Master of Arts (A.M.), Master of Philosophy (M.Phil.), and Doctor of Philosophy (Ph.D.). The educational aim of this program is to provide well-rounded mathematical training for a career of ...
Hello! I’m a fourth year mathematics Ph.D. student and NSF graduate fellow at the University of Pennsylvania, advised by Mona Merling. My research focuses on algebraic topology, homotopy theory, and category theory, and I also have an interest in mathematical visualization and communication. I believe that math can be accessible and enjoyable ...