4C15 David Rittenhouse Laboratory

yeya [at] math [dot] upenn [dot] edu

I was a math graduate student at the University of Pennsylvania (graduated May 2021), and will be moving to NYU.

I am broadly interested in special functions arising from number theory. I also study applications of special functions to combinatorics, physics, and biology.

Outside math, I am involved in piano performances and transcriptions. I was a member of Penn Chamber.

I am available for tutoring in math and music *if you currently aren't a student in my class*; email me if interested.

- Spring 2021: MATH 603 (Algebra).
- Spring 2021: Directed Reading Program (The Fifteen Theorem).
- Fall 2020: AMCS 602 (Applied Algebra).
- Fall 2020: Directed Reading Program (Flow Modeling and Car Accident Risk).
- Spring 2020: Directed Reading Program (Finite Fields and Cryptography).
- Summer 2019: MATH 240 (Calculus, Part III).
*Lecture Notes* - Spring 2019: MATH 241 (Calculus, Part IV).
*Homework Solutions (with Iyer Pranav)* - Fall 2018: MATH 420 (Ordinary Differential Equations).
- Spring 2018: MATH 240 (Calculus, Part III).
- Fall 2017: MATH 371 (Algebra).
- Fall 2017: MATH 110 (Calculus for Wharton Students).

- Algebraic independence results for colored multizeta values in characteristic $p$.
*Draft available upon request.* - Towards analytical calculation of the magnetic flux measured by magnetometers (with Wan-Jin Yeo and Samu Taulu).
*Physics Letters A. Link* - A computational model for estimating the progression of coronavirus cases in the US West and East Coast population regions (with Yao-Yu Yeo and Wan-Jin Yeo).
*Experimental Results. Link* - Branching rules for splint root systems (with Logan Crew and Alexandre A. Kirillov).
*Algebras and Representation Theory. Link* - Enumerating $(k,l)$-critical and supercritical permutations (with Wan-Jin Yeo).
*Mathematical Medley.*

- Mixed Carlitz motives and colored multizeta values in characteristic $p$.
*PhD Thesis.* - Dessin d'enfants and superpotentials.
*Honors Thesis.*

Here are my oral exam transcript and oral exam practice problems.

Here is a collection of fun short puzzles (compiled with Alon Benhaim), best suited to mull over coffee break.

Here are some notes for various mathematical events.

- Multizeta values in characteristic $p$.
*Notes* - $\mathbb{F}_q[\theta]$ is level; $\zeta$ is you; $Li$ is win.
*Notes* - Jacobi polynomials via pictures.
*Notes* - Music 101 for science people.
*Notes* - Branching rules for splint root systems.
*Notes* - Adelic class groups via two quick examples.
*Notes* - Examples of spectral sequences (with Man Cheung Tsui).
*Notes* - Counting genera of integral quadratic forms.
*Notes* - Congruent numbers.
*Notes* - Bhargava's cube.
*Notes* - MSRI summer school: Automorphic forms and the Langlands program (Lectures by Kevin Buzzard).
*Notes* - The Banach-Tarski paradox.
*Notes* - The 15 and 290 theorems.
*Notes* - Sum of squares.
*Notes* - Little tidbits about the symmetric group.
*Notes* - Dessin d'enfants and superpotentials.
*Notes* - The Hurwitz existence problem.
*Notes*