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The asymptotic behavior of the partition function was first determined by Hardy and Ramanujan in 1918 using their famous circle method. Since then, many new ways of deriving their asymptotic formula have been discovered. I will discuss these and report on my recent work with Karin Ikeda.

As a continuation of our previous lecture, we study the mock theta functions in the context of harmonic Maass forms, beginning with Zwegers' thesis in 2002. We discuss (1) universal mock theta functions, (2) a proof of the mock theta conjectures, and (3) exact formulas for coefficients of mock theta functions, beginning with Dragonette and Andrews.