1 citations · 1 across the 5 of their papers we have counts for
5 papers
Fields of definition for triangle groups as Fuchsian groups
Frank Calegari, Qiankang Chen
The compact hyperbolic triangle group admits a canonical representation to with discrete image which is unique up to conjugation. The trace…
Finite groups whose real irreducible representations have unique dimensions
Thomas Breuer, Frank Calegari, Silvio Dolfi +2
We determine the finite groups whose real irreducible representations have different degrees.
The adelic closure of triangle groups
Frank Calegari
Motivated by questions arising from billiard trajectories in the regular -gon, McMullen defined a pair of functions and on the cusps of the corresponding triangle gr…
Even Galois Representations and the Fontaine-Mazur Conjecture
Frank Calegari
We prove some cases of the Fontaine-Mazur conjecture for even Galois representations. In particular, we prove, under mild hypotheses, that there are no irreducible two-dimensional…
Conjectures about discriminants of Hecke algebras at prime level
Frank Calegari, William Stein
We study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. We make a precise conjecture about the indexes of Hecke algebras in th…