Yifeng Huang

activity

20232026

collaborators

5 papers

math.AG2026

Quot scheme of points on torus knot singularities

Yifeng Huang, Ruofan Jiang, Alexei Oblomkov

For $g cd (a, b) = 1$ , we show that the moduli space of $m$ -codimensional $k [[T^{a}, T^{b}]]$ -submodules of $k [[T]]^{n}$ is paved by affine cells, by proving that each Białyni…

math.AG2025

Matrix Points on Varieties

Asvin G, Yifeng Huang, Ruofan Jiang +1

We study the cohomology of $C_{n} (X)$ , the moduli space of commuting $n$ -by- $n$ matrices satisfying the equations defining a quasi-projective scheme $X$ . This space can be viewed as…

math.PR2025

Cohen-Lenstra flag universality for random matrix products

Yifeng Huang, Hoi H. Nguyen, Roger Van Peski

For $n \times n$ random integer matrices $M_{1}, \dots, M_{k}$ , the cokernels of the partial products $cok (M_{1} \dots M_{i}), 1 \leq i \leq k$ naturally define a random flag of a…

math.NT2024

Cokernels of random matrix products and flag Cohen--Lenstra heuristic

Yifeng Huang

In [NVP22], Nguyen and Van Peski raised the question of whether the surjective flag of $Z_{p}$ -modules modeled by $\mathrm{cok}(M_1\cdots M_k)\twoheadrightarrow \dots\twohead…

math.NT2023

The cokernel of a polynomial push-forward of a random integral matrix with concentrated residue

Gilyoung Cheong, Yifeng Huang

We prove new statistical results about the distribution of the cokernel of a random integral matrix with a concentrated residue. Given a prime $p$ and a positive integer $n$ , consi…