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, my email is .

Papers

[arXiv]
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)