Research Interests
Research Interests
I study analytic functions called modular forms that encode a wide variety of arithmetic information in various ways and play a major role in modern number theory, with connections to algebraic geometry, representation theory, topology, and physics. My work explores their connections to quadratic number fields, integer partitions, elliptic curves, and L-functions.
Recent Publications
Summation formulas for Hurwitz class numbers and other mock modular coefficients, with Nikolaos Diamantis, Rajat Gupta, Larry Rolen, and Kalani Thalagoda. Submitted. Link. ​
​A modular framework for generalized Hurwitz class numbers II, with Andreas Mono. Submitted. Link. ​​
Imaginary quadratic fields with l-torsion-free class groups and specified split primes, with Martin Raum and Olav Richter. Int. Math. Res. Not. 16 (2024). Link.
Contact
Information
Department of Mathematics
411 Gibson Hall
Tulane University
New Orleans