Ellen Eischen: The mathematical legacy of Hel Braun

Abstract: Hel Braun was a mathematician whose substantial work continues to impact research today.  Braun's research contributions lie in three areas: classical number theory problems about integers, modular and automorphic forms, and Jordan algebras.  I will introduce how each of these seemingly distinct topics led Braun naturally to the next, and I will highlight the ongoing impact of some of Braun's most significant contributions.  Reasons for interest today are largely different from those that motivated Braun and were likely unforeseen at the time.  I will also try to address apparent anomalies, like why you probably are unfamiliar with Braun despite the lasting impact of this work.  This colloquium-level talk is intended for a broad mathematical audience.  If your response to the title was "Who's Hel Braun?" this talk is for you.  If you already know who that is but asked "But why Hel Braun?" it is also for you.