A. Shankar

activity

20162026

most citedPicard ranks of K3 surfaces over function fields and the Hecke orbit conjecture

14 citations · 67 across the 20 of their papers we have counts for

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Showing 2025 · math.NTShow all

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math.NT2025

Finiteness of function field-valued points on exceptional Shimura varieties

Benjamin Bakker, Ananth N. Shankar, Jacob Tsimerman

Let $C / k$ be a smooth curve over a finite field of characteristic $p > 0$ . We prove that there are finitely many principally polarized abelian schemes of given dimension $g$ over $C$ …

math.NT2025

$p$ -adic hyperbolicity for Shimura varieties and period images

Benjamin Bakker, Abhishek Oswal, Ananth N. Shankar +1

We prove that Shimura varieties and geometric period images satisfy a $p$ -adic extension property for large enough primes $p$ . More precisely, let $\mathsf{D}^{\times}\subset \math…

math.NT2025

A characteristic p analogue of the André--Pink--Zannier conjecture

Yeuk Hay Joshua Lam, Ananth N. Shankar

We investigate the analogue of the André--Pink--Zannier conjecture in characteristic $p$ . Precisely, we prove it for ordinary function field-valued points with big monodromy, in Sh…

Finiteness of function field-valued points on exceptional Shimura varieties

p-adic hyperbolicity for Shimura varieties and period images

A characteristic p analogue of the André--Pink--Zannier conjecture

$p$ -adic hyperbolicity for Shimura varieties and period images