Ruofan Jiang

collaborators

7 papers

math.AG2026

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.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.NT2025

$p$ -adic monodromy and mod $p$ unlikely intersections, II

Ruofan Jiang

We study ordinary abelian schemes in characteristic $p$ and their moduli spaces from the perspective of char $p$ Mumford--Tate, log Ax--Lindemann, and geometric AndrÃ©--Oort conjec…

math.NT2025

$p$ -adic monodromy and mod $p$ unlikely intersections, I

Ruofan Jiang

We formulate characteristic $p$ analogues of the Mumford--Tate and the AndrÃ©--Oort conjectures for ordinary mod $p$ Shimura varieties of Hodge type, and set up general frameworks…

math.AG2025

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…

math.CO2025

Lattices in $F_{q} [[T]]^{d}$ and spiral shifting operators

Yifeng Huang, Ruofan Jiang

We investigate the algebra and combinatorics of an analogue of the Hermite normal form that classifies finite-index submodules of $F_{q} [[T]]^{d}$ . We identity both normal form…

Matrix Points on Varieties

Picard rank jumps for families of K3 surfaces in positive characteristic

p-adic monodromy and mod p unlikely intersections, II

p-adic monodromy and mod p unlikely intersections, I

Motivic Coh and Quot zeta functions of singular curves

Lattices in Fq​[[T]]d and spiral shifting operators

$p$ -adic monodromy and mod $p$ unlikely intersections, II

$p$ -adic monodromy and mod $p$ unlikely intersections, I

Lattices in $F_{q} [[T]]^{d}$ and spiral shifting operators