Event Type:

Ph.D.Defense

Date/Time:

Thursday, May 30, 2019 - 13:00 to 14:00

Location:

Valley Library Willamette West Room

Abstract:

In 2013, Lemke Oliver created a list of all eta-quotients which are theta functions. Then in 2016, Folsom, Garthwaite, Kang, Swisher, and Treneer utilized this list of ``eta-theta'' functions along with Zwegers's construction of mock theta functions to create a set of mock modular forms which are also quantum modular forms. Later in 2016, Diaz, Ellefsen, and Swisher generalized a subset of these quantum modular forms to a single general form of quantum modular forms which included the every element of this subset. This talk will discuss an extended generalization to a larger general form which encompasses all functions made by Folsom et al. as well as showing that all of these generalized quantum modular forms are also mock modular forms.