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math.NT2021★ 1 cited
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…
math.NT2021★ 2 cited
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…