Frank Calegari

activity

20012023

most citedCyclotomic integers, fusion categories, and subfactors

53 citations · 225 across the 38 of their papers we have counts for

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Showing 2020 · math.NTShow all

3 papers · 2 filters

math.NT2020

Rationality of twists of the Siegel modular variety of genus $2$ and level $3$

Frank Calegari, Shiva Chidambaram

Let $ρ : G_{Q} \to GSp_{4} (F_{3})$ be a continuous Galois representation with cyclotomic similitude character -- or, what turns out to be equiva…

math.NT2020

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.

math.NT2020

Abelian surfaces with fixed $3$ -torsion

Frank Calegari, Shiva Chidambaram, David P. Roberts

Given a genus two curve $X : y^{2} = x^{5} + a x^{3} + b x^{2} + c x + d$ , we give an explicit parametrization of all other such curves $Y$ with a specified symplectic isomorphism on three-…

Rationality of twists of the Siegel modular variety of genus 2 and level 3

Vanishing Fourier Coefficients of Hecke Eigenforms

Abelian surfaces with fixed 3-torsion

Rationality of twists of the Siegel modular variety of genus $2$ and level $3$

Abelian surfaces with fixed $3$ -torsion