Embedded Files
Notes & Translations
Notes & Translations
Freudenthal's Magic Square
Freudenthal's Magic Square
In December 2024, I gave a class talk with Zachary Wallace-Wells, Zawad Chowdhury, and Bryan Lu on exceptional Lie algebras.
Freudenthal Magic Square.pdf(Michael Week 6) Intersection Homology I.pdfIntersection Homology
Intersection Homology
In November 2024, I gave a talk in the eCHT Kan Seminar about Intersection Homology and Perverse Sheaves.
(Brieskorn 1968) Rationale Singularitäten komplexer Flächen
(Brieskorn 1968) Rationale Singularitäten komplexer Flächen
In November 2024, I translated Egbert Brieskorn's paper on rational surface singularities from German to English. I was mindful of preserving as much of the original phrasing and formatting as possible. I am not aware of an existing translation.
I became interested in Du Val singularities because of their classification by the type-ADE Dynkin diagrams. This project was kindly suggested by Prof. Sándor Kovács.
v1 Translation of (Brieskorn 1968) Rational Singularities of Complex Surfaces.pdf(Brieskorn 1968) Rationale Singularitäten komplexer Flächen .pdf(Michael Zeng) Week 3 - Gromov-Witten Invariants and Quantum Cohomology.pdfGromov-Witten Invariants
Gromov-Witten Invariants
In September 2024, I gave a talk in the eCHT Reading Seminar on Quadratic Curve Counting on Gromov-Witten invariants and quantum cohomology. Here are the complete schedule and notes: Curve Counting Notes (courtesy Thomas Brazelton).
PCMI: Motivic Homotopy Theory
PCMI: Motivic Homotopy Theory
In July 2024, I attended the Park City Math Institute on motivic homotopy theory. Here are the official lecture notes and exercises: PCMI Notes and Exercises. I attempted to solve selected exercises together with other graduate students. Feel free to send me an email if you would like to see a copy of my solutions. :)
(DubTop) Equivariant K Theory.pdfEquivariant K-Theory
Equivariant K-Theory
In May 2024, I gave a talk in the UW DubTop Seminar, introducing different aspects of equivariant K-theory.
Intersection Theory Notes
Intersection Theory Notes
In Spring 2024, I gave a series of lectures on intersection theory in MATH583C. Here are some highlighted notes on famous enumerative results.
Intersection Theory 05_31_ 3264 and All That.pdfIntersection Theory 05_13_ Variations on a Theme of 27 Lines.pdf
27 Lines via Bott Residue Formula
27 Lines via Bott Residue Formula
In February 2024, I gave a talk in the 1-2-3 Seminar, where I presented the enumeration of 27 lines on a cubic surface using the Atiyah-Bott localization formula. Here is a 3D model of the Clebsch cubic surface that I printed.
Algebraic K-Theory
Algebraic K-Theory
In December 2023, I gave a talk in the Student AAG Seminar on Algebraic K-Theory.
(SAAG) Algebraic K-Theory.pdfBlog
Blog
Neural Networks with Math
Neural Networks with Math
I maintain a blog with Linhang Huang. Together with a few graduate students at the UW, we try to understand the mathematical theory used behind neural network architectures: Neural Networks with Math
Code
Code
Interactive Bruhat graph for S4.
Plot your favorite tropical curve
Plot your favorite tropical curve
I wrote a program in Mathematica which takes in a polynomial with rational or Puiseux coefficients and outputs the graph of the tropical curve. The code is an extension of the following Wolfram Demonstrations Project.
Plot Your Favorite Tropical Curve.pdf
Brackets
Brackets
I am a contributor to the ***Brackets package of the computer algebra system Macaulay2.
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