Catherine Cossaboom

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20222024

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math.NT2023

Patterns of primes in joint Sato--Tate distributions

A. Anas Chentouf, Catherine Cossaboom, Samuel Goldberg +1

For $j = 1, 2$ , let $f_{j} (z) = \sum_{n = 1}^{\infty} a_{j} (n) e^{2 π in z}$ be a holomorphic, non-CM cuspidal newform of even weight $k_{j} \geq 2$ with trivial nebentypus. For each prime $p$ …

math.NT2022

Hecke nilpotency for modular forms mod 2 and an application to partition numbers

Catherine Cossaboom, Sharon Zhou

A well-known observation of Serre and Tate is that the Hecke algebra acts locally nilpotently on modular forms mod 2 on $SL_{2} (Z)$ . We give an algorithm for calcul…