Yiannis Fam

collaborators

3 papers

math.NT2026

Hecke structure of quaternionic modular forms mod $p$

Yiannis Fam, Alexandru Ghitza

We relate the systems of Hecke eigenvalues arising from the (mod $p$ ) modular forms on the Shimura curve attached to the indefinite quaternion algebra $B$ of discriminant $δ$ over…

math.RT2026

Exceptional supercuspidal representations in small residue characteristic

Yiannis Fam

In this paper, in residue characteristic 2 and 3, we extend the construction of epipelagic representations of Reeder--Yu to produce new supercuspidals of higher depth, building on…

math.NT2022

Computation of Hecke eigenvalues (mod $p$ ) via quaternions

Yiannis Fam

In a 1987 letter, Serre proves that the systems of Hecke eigenvalues arising from mod $p$ modular forms (of fixed level $Γ (N)$ coprime to $p$ , and any weight $k$ ) are the same as t…

Hecke structure of quaternionic modular forms mod p

Exceptional supercuspidal representations in small residue characteristic

Computation of Hecke eigenvalues (mod p) via quaternions

Hecke structure of quaternionic modular forms mod $p$

Computation of Hecke eigenvalues (mod $p$ ) via quaternions