Kalani Thalagoda

collaborators

4 papers

math.NT2025

A Dedekind-Rademacher cocycle for Bianchi groups

Kim Klinger-Logan, Kalani Thalagoda, Tian An Wong

We construct a generalization of the Dedekind-Rademacher cocycle to congruence subgroups of $SL_{2} (C)$ , and derive some of its basic properties. In particular, we s…

math.NT2025

Summation formulas for Hurwitz class numbers and other mock modular coefficients

Olivia Beckwith, Nikolaos Diamantis, Rajat Gupta +2

We prove a formula for weighted sums of the first $n$ coefficients of mock modular forms of moderate growth and apply it to Hurwitz class numbers and coefficients of negative half…

math.NT2025

Bianchi Modular Forms over Imaginary Quadratic Fields with arbitrary class group

John Cremona, Kalani Thalagoda, Dan Yasaki

Let $K$ be an imaginary quadratic field and let $O_{K}$ be its ring of integers. For an integral ideal $n$ of $O_{K}$ , let $Γ_{0} (n)$ be the c…

math.NT2021

Perfect Forms over Imaginary Quadratic Fields

Kristen Scheckelhoff, Kalani Thalagoda, Dan Yasaki

In this work, we compute the perfect forms for all imaginary quadratic fields of absolute discriminant up to $5000$ and study the number and types of the polytopes that arise. We p…