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Critical points of modular forms

Posted in
Berend Ringeling
Radboud University
Tue, 12/09/2023 - 12:20 - 12:40
MPIM Lecture Hall

Modular forms are highly symmetric complex analytic functions. They appear in (seemingly) unrelated areas in mathematics and physics, such as number theory, algebraic topology and string theory. By the valence formula, the number of zeros of a modular form within each fundamental domain is known. In joint work with Jan-Willem van Ittersum, we generalize these results to the zeros of derivatives of modular forms.

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