Alexandru Ghitza

activity

20032026

p

: analytic continuation and consequences

5 citations · 18 across the 22 of their papers we have counts for

collaborators

27 papers

math.NT2026

Hecke structure of quaternionic modular forms mod $p$

Yiannis Fam, Alexandru Ghitza

We relate the systems of Hecke eigenvalues arising from the (mod $p$ ) modular forms on the Shimura curve attached to the indefinite quaternion algebra $B$ of discriminant $δ$ over…

math.NT2026

The solvability of the inverse volcano problem over non-prime finite fields

Alexandru Ghitza, Dhruv Gupta, Maximilian Kortge

For a finite field $F_{p^{k}}$ and a prime $ℓ \neq = p$ , consider the graph $G$ of $ℓ$ -isogenies between ordinary elliptic curves over $F_{p^{k}}$ . Kohel proved t…

math.NT2025

The non-existence of some Galois representations of moderate dimension in small characteristic

Alexandru Ghitza, Takuya Yamauchi

Refining arguments of Hyunsuk Moon, under the assumption of the Generalized Riemann Hypothesis, we prove the non-existence of irreducible mod 2 Galois representations unramified ou…

math.CO2022

Deep congruences + the Brauer-Nesbitt theorem

Samuele Anni, Alexandru Ghitza, Anna Medvedovsky

We prove that mod- $p$ congruences between polynomials in $Z_{p} [X]$ are equivalent to deeper $p$ -power congruences between power-sum functions of their roots. This result ge…

math.AG2021

The Hodge-D-Conjecture fora Product of Elliptic Curves

Alexandru Ghitza, James D. Lewis, Karim Mansour +1

Let $X / C$ be a general product of elliptic curves. Our goal is to establish the Hodge-D-conjecture for $X$ . We accomplish this when $dim X \leq 5$ . For $dim X \geq 6$ , we reduce…

math.NT2020

Automorphy of mod 2 Galois representations associated to certain genus 2 curves over totally real fields