Ruofan Jiang

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20222026

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math.NT2026

S-integrality for families of ordinary K3 surfaces and algebraicity theorems

Ruofan Jiang, Ananth N. Shankar

We prove an $S$ -integrality theorem for special divisors on GSpin Shimura varieties in positive characteristic. Let $C$ be a generically ordinary curve in such a Shimura variety no…

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 André--Oort conject…

math.NT2023

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

Ruofan Jiang

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

math.NT2023

Splitting of almost ordinary abelian surfaces in families and the $S$ -integrality conjectures

Ruofan Jiang

Let $A$ be a non-isotrivial almost ordinary abelian surface with possibly bad reductions over a global function field of odd characteristic $p$ . Suppose $Δ$ is an infinite set of p…

S-integrality for families of ordinary K3 surfaces and algebraicity theorems

p-adic monodromy and mod p unlikely intersections, II

p-adic monodromy and mod p unlikely intersections, I

Splitting of almost ordinary abelian surfaces in families and the S-integrality conjectures

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

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

Splitting of almost ordinary abelian surfaces in families and the $S$ -integrality conjectures