Andrew O'Desky

Princeton University - Department of Mathematics

About Me

I am a Postdoctoral Research Fellow and Lecturer at Princeton University, partially supported by the National Science Foundation. My mentor is Manjul Bhargava. Previously I was a Ph.D. student at the University of Michigan under the supervision of Michael Zieve.

My research interests are in algebraic number theory and algebraic geometry.

I can be reached at moc.liamg@yksedo.ydna.

Publications and Preprints

[arXiv]

Configuration spaces, graded spaces, and polysymmetric functions

with Asvin G

[arXiv]

Derangements and the p-adic incomplete gamma function

with Harry Richman

Transactions of the AMS (to appear)

[arXiv]

The moduli space of G-algebras

with Julian Rosen

[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

Teaching and Mentoring

At the University of Michigan, I was the primary instructor for ten sections from the introductory calculus sequence, and I was a lab instructor for two sections of differential equations.

In Winter 2019, I jointly mentored three undergraduate students in the LoG(M) program at the University of Michigan.

Other Writing

[local]

An introduction to F-crystals

Lecture notes (Fall 2022)

[local]

Fourier analytic aspects of Bhargava's proof of van der Waerden's Conjecture

Lecture notes (Fall 2022)

[local]

Bhargava's proof of van der Waerden's Conjecture

Seminar notes (Spring 2022)

[local]

The Orbit Intersection Problem and Polynomial Functions

Thesis (2020)

[local]

The Jacobi Triple Product Formula

Expository note