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.
Teaching and Tutoring
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).
Articles
- 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.
Notes
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.
- $\mathbb{F}_q[T]$ 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