Portfolio item number 1
Short description of portfolio item number 1
Posts by Collection
portfolio
Portfolio item number 2
Short description of portfolio item number 2
publications
Gaussian universality of p-adic random matrix products via corners
Published in Electronic Journal of Probability, 2024
Download here
Non-Archimedean GUE corners and Hecke modules, joint with Roger Van Peski
Published in arXiv preprint, 2024
Download here
Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism
Published in arXiv preprint, 2025
Download here
Groups with pairings, Hall Modules, and Hall-Littlewood Polynomials, joint with Roger Van Peski
Published in International Mathematics Research Notices, 2025
Download here
The Szemeredi-Trotter theorem over arbitrary field of characteristic zero
Published in arXiv preprint, 2025
Download here
Universality of rational canonical form for random matrices over a finite field
Published in arXiv preprint, 2025
Download here
High-low method and p-adic Furstenberg set over the plane, joint with Kevin Ren
Published in arXiv preprint, 2025
Download here
Eigenvalues of p-adic random matrices, joint with Roger Van Peski
Published in arXiv preprint, 2026
Download here
Quantative universality for cokernels of matrices with symmetries
Published in arXiv preprint, 2026
Download here
The k-cycle shuffling with repeated cards
Published in arXiv preprint, 2026
Download here
The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters
Published in arXiv preprint, 2026
Download here
Eigenvalue Distribution of p-adic Random Matrices Among Algebraic Extensions, with an Analogue for p-adic Random Polynomials
Published in arXiv preprint, 2026
Download here
talks
Student Seminars at Columbia
Published:
I have organized and participated in several student seminars at Columbia, including: student probability seminar, since Spring 2024; student seminar on the work of Manjul Bhargava, Fall 2023, including number field asymptotics and Selmer groups; Automorphic Forms Student Seminar**, spring 2023, based on Daniel Bump’s Automorphic Forms and Representations.
Non-Archimedean GUE corners and Hecke modules
Published:
Random non-archimedean matrices play an important role in Cohen-Lenstra heuristics, whose singular numbers provide information for the distribution of ideal class groups for quadratic extension and Tate-Shafarevich groups of elliptic curves. In this talk, I will provide our result on the distribution of singular numbers for random alternating and Hermitian non-archimedean matrices, based on our new application of Hecke algebra.
teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
This is a description of a teaching experience. You can use markdown like any other post.
Teaching experience 2
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.