Office: Fine Hall 410
Email: aadve@princeton.edu
Office: Fine Hall 410
Email: aadve@princeton.edu
I am a PhD student in math at Princeton. My advisor is Peter Sarnak.
I expect to graduate in May 2026. I am currently on the academic job market.
Here is my CV. My papers are below.
My research is in analysis, often motivated by number theory or representation theory. Lately I have been using ideas from conformal field theory to study automorphic forms, with applications to subconvexity and the spectral theory of hyperbolic surfaces.
A converse theorem for hyperbolic surface spectra and the conformal bootstrap
arXiv (2025)
Weyl bound for trilinear periods via conformal bootstrap
with James Bonifacio, Petr Kravchuk, Dalimil Mazáč, Sridip Pal, Alex Radcliffe, and Gordon Rogelberg
arXiv (2025)
On the bulk range of Haseo Ki's L^4 bound
with Trajan Hammonds
Preliminary draft
This is semi-expository.
A spectral gap for spinors on hyperbolic surfaces
with Vikram Giri
arXiv (2025)
Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
with Amina Abdurrahman, Vikram Giri, Ben Lowe, and Jonathan Zung
arXiv (2024)
Density criteria for Fourier uniqueness phenomena in R^d
arXiv (2023)
On nonexpansiveness of metric projection operators on Wasserstein spaces
with Alpár Mészáros
Advances in Calculus of Variations
arXiv (2020)
Spectral methods for statistical limit theorems in dynamics
Chicago REU paper (2019)
This is mostly expository.
An efficient algorithm for deciding vanishing of Schubert polynomial coefficients
with Colleen Robichaux and Alexander Yong
Advances in Math
arXiv (2021, split off from an earlier version from 2018)
Computational complexity, Newton polytopes, and Schubert polynomials
with Colleen Robichaux and Alexander Yong
Séminaire Lotharingien de Combinatoire
arXiv (2021, split off from an earlier version from 2018)
Vanishing of Littlewood-Richardson polynomials is in P
with Colleen Robichaux and Alexander Yong
Computational Complexity
arXiv (2017)
Symmetric group representations and Z
with Alexander Yong
Comptes Rendus Mathématique
arXiv (2017)