A photo of Andrew O'Desky

About Me

I am a mathematician with research interests in number theory and algebraic geometry. Recently I've also been thinking about language models and transformers.

If you're interested in reaching out or learning about my background you can find my CV here.

Papers

[local]
On attention heads and bilinear forms
Experimental code and visualizations
Lean formalization
[arXiv]
Integral points on singular toric varieties and cyclic normal polynomials
[arXiv]
A residue formula for integrals with hyperplane singularities
Lean formalization
[arXiv]
On trace-one generators of abelian cubic fields
[arXiv]
On monic abelian trace-one cubic polynomials
with Shubhrajit Bhattacharya
[arXiv]
Polysymmetric functions and motivic measures of configuration spaces
with Asvin G
[arXiv]
The moduli space of G-algebras
with Julian Rosen
Advances in Mathematics 431 (2023), 109240
[arXiv]
Derangements and the p-adic incomplete gamma function
with Harry Richman
Transactions of the AMS 376 (2023), no. 2, 1065–1087
[arXiv]
Functions with integer-valued divided differences
Journal of Number Theory 234 (2022), 179–199
[arXiv]
Minimal flag triangulations of lower-dimensional manifolds
with Christin Bibby, Mengmeng Wang, Shuyang Wang, Ziyi Zhang, Hailun Zheng
Involve: a Journal of Mathematics 13-4 (2020), 683–703
[arXiv]
Super vertex algebras, meromorphic Jacobi forms and umbral moonshine
with John Duncan
Journal of Algebra 515 (2018), 389–407

Other Writing

[local]
Sieve methods in arithmetic statistics
Lecture notes (Spring 2024)
[local]
Hodge numbers of birational Calabi–Yau varieties via p-adic Hodge theory
Lecture notes (Fall 2023)
[local]
An introduction to F-crystals
Lecture notes (Fall 2022)
[local]
The Orbit Intersection Problem and Polynomial Functions
Thesis (2020)