activity
20082026
most citedRigorous computation of the endomorphism ring of a Jacobian

58 citations · 270 across the 49 of their papers we have counts for

collaborators

59 papers

math.NT2026

Unexpected primes of good reduction in quotients of modular and Shimura curves

Oana Padurariu, Sun Woo Park, John Voight

We find all zero-dimensional spaces of newforms of weight and squarefree level with a fixed Atkin--Lehner sign pattern. As an application, we classify unexpected primes of…

math.NT2023★ 1 cited

Rational torsion points on abelian surfaces with quaternionic multiplication

Jef Laga, Ciaran Schembri, Ari Shnidman +1

Let be an abelian surface over whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur's theorem for elliptic cur…

math.NT2023

Kneser's method of neighbors

John Voight

In a landmark paper published in 1957, Kneser introduced a method for enumerating classes in the genus of a definite, integral quadratic form. This method has been deeply influenti…

math.NT2023

A database of paramodular forms from quinary orthogonal modular forms

Eran Assaf, Watson Ladd, Gustavo Rama +2

We compute tables of paramodular forms of degree two and cohomological weight via a correspondence with orthogonal modular forms on quinary lattices.

math.NT2023

Monodromy groups of Jacobians with definite quaternionic multiplication

Victoria Cantoral-Farfán, Davide Lombardo, John Voight

Let be an abelian variety over a number field. The connected monodromy field of is the minimal field over which the images of all the -adic torsion representations ha…

math.AG2023

A database of basic numerical invariants of Hilbert modular surfaces

Eran Assaf, Angelica Babei, Ben Breen +8

We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.