2 papers
math.NT2025
Arithmetic holonomy bounds and effective Diophantine approximation
Frank Calegari, Vesselin Dimitrov, Yunqing Tang
In this paper, we explore several threads arising from our recent joint work on arithmetic holonomy bounds, which were originally devised to prove new irrationality results based o…
math.NT2025
Modularity theorems for abelian surfaces
George Boxer, Frank Calegari, Toby Gee +1
We prove the modularity of a positive proportion of abelian surfaces over . More precisely, we prove the modularity of abelian surfaces which are ordinary at and ar…