S. Dembner

collaborators

3 papers

math.AG2022

Algebraic and o-minimal flows beyond the cocompact case

Spencer Dembner, Hunter Spink

Let $X \subset C^{n}$ be an algebraic variety, and let $Λ \subset C^{n}$ be a discrete subgroup whose real and complex spans agree. We describe the topological closure…

math.NT2020

A Note on Congruences for Weakly Holomorphic Modular Forms

Spencer Dembner, Vanshika Jain

Let $O_{L}$ be the ring of integers of a number field $L$ . Write $q = e^{2 π i z}$ , and suppose that $$f(z) = \sum_{n \gg - \infty}^{\infty} a_f(n) q^n \in M_{k}^{!}(\operatorname{SL}…

math.NT2020

Hyperelliptic Curves and Newform Coefficients

Spencer Dembner, Vanshika Jain

We study which integers are admissible as Fourier coefficients of even integer weight newforms. In the specific case of the tau-function, we show that for all odd primes $\ell < 10…