Fall Semester 2025-2026
Abstract: Modular forms arise in many areas of mathematics, and most prominently in modern number theory. They appear in the proof of Fermat's last theorem, a key ingredient in Viasovska's solution to the packing problem in dimension 8, have a remarkable connection to the Monstrous Moonshine correspondence, and have far-reaching applications in arithmetic and analytic number theory (partitions, Congruences, L-functions, and more).
I will give an introduction to the theory of elliptic modular forms and present an elegant connection to the theory of integral quadratic forms.
If time permits, I will discuss recent results of mine regarding the zeros of modular forms.
No previous knowledge is assumed.
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