3 papers
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…
math.NT2023
Cuspidal cohomology classes for GL_n(Z)
George Boxer, Frank Calegari, Toby Gee
We prove the existence of a cuspidal automorphic representation for of level one and weight zero. We construct using symmetric power functoriality and…
math.NT2023
The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms
George Boxer, Frank Calegari, Toby Gee +2
We prove the Ramanujan and Sato-Tate conjectures for Bianchi modular forms of weight at least 2. More generally, we prove these conjectures for all regular algebraic cuspidal autom…