# Karl Mahlburg

Affiliation: Louisiana State University

Email: karlmahlburg@gmail.com

Title Of Talk: Alladi, Schur's second partition theorem, and universal mock theta functions

Abstract: I will discuss old and new results related to Alladi's work on Schur's second partition theorem, in which he notably developed the method of Weighted Words in order to prove analytic and combinatorial partition identities. Among the recent developments is a striking connection between Schur's theorem, Alladi's $q$-continued fraction, and Hickerson's universal mock theta function.