Yao-Rui's Webpage (?)

4C15 David Rittenhouse Laboratory
yeya [at] math [dot] upenn [dot] edu

About Me

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.

Outside math, I am involved in piano performances and transcriptions. I am 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).
Fall 2020: Directed Reading Program (Flow Modeling and Car Accident Risk).
Fall 2020: AMCS 602 (Applied Algebra).
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).

Mixed Carlitz Motives and Colored Multizeta Values in Characteristic $p$. In progress.
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 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.

$\mathbb{F}_q[T]$ 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 Groups. Notes
Dessin d'Enfants and Superpotentials. Notes
The Hurwitz Existence Problem. Notes