2 papers
math.GT2025
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…
math.NT2004
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…