activity
20112023
most citedObstructions to integral points on affine Châtelet surfaces

4 citations · 10 across the 9 of their papers we have counts for

collaborators

10 papers

math.NT2023

Replicable functions arising from code-lattice VOAs fixed by automorphisms

Lea Beneish, Jennifer Berg, Eva Goedhart +3

We ascertain properties of the algebraic structures in towers of codes, lattices, and vertex operator algebras (VOAs) by studying the associated subobjects fixed by lifts of code a…

math.NT2023

Vanishing of Quartic and Sextic Twists of -functions

Jennifer Berg, Nathan C. Ryan, Matthew P. Young

Let be an elliptic curve over . We conjecture asymptotic estimates for the number of vanishings of as varies over all primitive Dirichlet characters…

math.NT2022

Descent and étale-Brauer obstructions for 0-cycles

Francesca Balestrieri, Jennifer Berg

For 0-cycles on a variety over a number field, we define an analogue of the classical descent set for rational points. This leads to, among other things, a definition of the étale-…

math.NT2021

Rational points on symmetric squares of constant algebraic curves over function fields

Jennifer Berg, José Felipe Voloch

We consider smooth projective curves C/ over a finite field and their symmetric squares . For a global function field , we study the -rational…

math.NT2019★ 1 cited

Rational points on conic bundles over elliptic curves

Jennifer Berg, Masahiro Nakahara

We study rational points on conic bundles over elliptic curves with positive rank over a number field. We show that the etale Brauer-Manin obstruction is insufficient to explain fa…

math.AG2018

Odd order obstructions to the Hasse principle on general K3 surfaces

Jennifer Berg, Anthony Várilly-Alvarado

We show that odd order transcendental elements of the Brauer group of a K3 surface can obstruct the Hasse principle. We exhibit a general K3 surface of degree 2 over $\mathbb{Q…