email: jdp 5887 at psu dot edu
PhD student. I like dynamical systems and computers. My PhD advisors are Jairo Bochi and Amie Wilkinson. I used to be an applied mathematician.
-Averaging Invariant Measures, with Jairo Bochi. (In progress)
- Completely Integrable Replicator Dynamics Associated to Competitive Networks, with Christopher Griffin. Physical Review E. (2023)
- Betti Curves of Rank One Symmetric Matrices, with Carina Curto and Igor Rivin. Geometric Science of Information. (2021)
- Fall 2023: Math 140 Calculus 1, 2 sections
- Fall 2022: Math 35: A general view of mathematics
- Spring 2022: Math 220: Matrices
Lunchtime Colloquium for Graduate Students with Lael Costa and Pierre-Emmanuel Jabin
Coorganize the Geometry Seminar with Dmitri Burago and Anton Petrunin.
University of Maryland Dynamics Conference Spring 2024
Graduate Teaching Associate 2023
Maryland Symbolics Conference, 2023
Summer School: Partial Hyperbolicity 2023 at Maryland -- Brin MRC
Workshop: Partial Hyperbolicity 2023 at Maryland -- Brin MRC
ZZRQ Award 2023: In recognition of a doctoral candidate who has contributed most to the sense of community within the department of mathematics.
Department of Mathematics Teaching Award Fall 2023: In recognition of outstanding teaching by a graduate assistant in mathematics.
USA - Uzbekistan Advanced Studies Instititute at Urgench State University - 2022
Houston Workshop on Hyperbolic Dynamics - 2022
For references, contact Jairo Bochi, Amie Wilkinson, Sergei Tabachnikov, or Dmitri Burago.
University of Maryland Dynamics Conference, Student Days, April 3, 2024
PSU Geometry Seminar, February 2024.
PSU Undergraduate Student Seminar, February 2024.
Talk at Penn State Mathematical Biology Seminar 2022.
Talk at Geometric Science of Information, Sorbonne University 2021.
I like watching math talks on Youtube. Here are some that I really enjoy and have rewatched.
Jin Young Park, Proof of Kahn-Kalai Conjecture
Bryna Kra, 2022 NAS Research Briefing
Amie Wilkinson, Fields Institute 2018
Diana Davis, Billiards in Regular Polygons
Richard Schwartz, A survey lecture on Billiards
Craig Kaplan, An Aperiodic Monotile
Dmitry Dolgopyat, Flexibility of statistical properties in smooth dynamics
Scott Aaronson, Avi's Permanent Impact on Me
Axiom 1. Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4. Every student deserves to be treated with dignity and respect