4C15 David Rittenhouse Laboratory

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

I am a math graduate student at the University of Pennsylvania.

I am broadly interested in special functions arising from number theory. I sometimes study special functions in combinatorics and physics too.

Here are some stuff I am currently thinking about: *multizeta values and $t$-motives*; *spherical harmonics in MEG signals*; *machine learning*.

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

To be added soon.

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

- Fall 2020: Directed Reading Program (Flow Modeling and Car Accident Risk).
- Fall 2020: AMCS 602 (Applied Algebra I).
- Spring 2020: Directed Reading Program (Finite Fields and Cryptography).
*Final Slides (by Esther Guan)* - 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).

- Mixed Carlitz Motives and Colored Multizeta Values in Characteristic $p$.
*Draft available by request.* - Numerical Integration for MEG Signals (with Wan Jin Yeo).
*In progress.* - 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. Article* - Branching Rules for Splint Root Systems (with Logan Crew and Alexandre A. Kirillov).
*Submitted. Article* - Dessin d'Enfants and Superpotentials.
*Honors Thesis.* - Enumerating $(k,l)$-Critical and Supercritical Permutations (with Wan Jin Yeo).
*Mathematical Medley.*

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; $\text{Li}$ 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 Groups.
*Notes* - Dessin d'Enfants and Superpotentials.
*Notes* - The Hurwitz Existence Problem.
*Notes*