Ruofan Jiang

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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.AG2026

Picard rank jumps for families of K3 surfaces in positive characteristic

Ruofan Jiang, Ananth N. Shankar, Ziquan Yang

Let X/C be a non iso-trivial family of K3 surfaces over a curve C defined over characteristic p > 2 field. We show that if X avoids a necessary and structural obstruction coming fr…

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.AG2023

Motivic Coh and Quot zeta functions of singular curves

Yifeng Huang, Ruofan Jiang

We present a general and effective algebraic framework for enumerating finite-length quotients of a torsion-free sheaf of arbitrary rank (the Quot zeta function) and finite-length…