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math.NT2025
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…
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.NT2024
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 an…