53 citations · 225 across the 38 of their papers we have counts for
47 papers
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…
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…
Reciprocity in the Langlands program since Fermat's Last Theorem
Frank Calegari
This is a survey article on developments in modularity since the proof of Fermat's Last Theorem, with an emphasis on the historical development of the subject rather than any techn…
The Unbounded Denominators Conjecture
Frank Calegari, Vesselin Dimitrov, Yunqing Tang
We prove the unbounded denominators conjecture in the theory of noncongruence modular forms for finite index subgroups of SL_2(Z). Our result includes also Mason's generalization o…
Rationality of twists of the Siegel modular variety of genus and level
Frank Calegari, Shiva Chidambaram
Let be a continuous Galois representation with cyclotomic similitude character -- or, what turns out to be equiva…
Vanishing Fourier Coefficients of Hecke Eigenforms
Frank Calegari, Naser T. Sardari
We prove that, for fixed tame level (N,p) = 1, there are only finitely many Hecke eigenforms f of level Gamma_1(N) and even weight with a_p(f) = 0 which are not CM.