Mathematics

Quantum Modular Forms:
Quantum modular forms are a new class of modular objects recently defined by Zagier in 2010, and include examples connecting to combinatorial functions, quantum invariants of knots and 3-manifolds, and mock modular forms. In this talk, I will give some context for and define these new objects, before moving on to discuss recent work on constructing classes of quantum modular forms arising from a classification of eta-theta functions. The talk will conclude with an overview of new extensions of this and related work.