Andrew O'Desky

Lodha Mathematical Sciences Institute

About Me

I am a Research Fellow at the Lodha Mathematical Sciences Institute. Previously I was an NSF postdoc at Princeton University mentored by Manjul Bhargava. I obtained my PhD in 2020 from the University of Michigan advised by Michael Zieve.

My research interests are in number theory and algebraic geometry.

Publications and Preprints

[arXiv]

Integral points on singular toric varieties and cyclic normal polynomials

[arXiv]

A residue formula for integrals with hyperplane singularities

[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)