Talks and presentations
Random alternating/Hermitian non-archimedean matrices and Hecke algebra
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.
2024 Spring: Student Probability Seminar
Symmetric Functions and Hall Polynomials
2023 Fall: Student Seminar of the Work of Manjul Bhargava
Number field asymptotic and Selmer group
2023 Spring: Automorphic Forms Student Seminar
Daniel Bump, “Automorphic Forms and Representations”