Delve into the intricate world of N=2 gauge theory, Donaldson-Thomas invariants, and exact WKB methods in this advanced physics lecture. Explore the complex relationships between these mathematical and physical concepts, gaining insights into their applications and theoretical implications. Examine cutting-edge research and developments in the field, presented by an expert in the subject. Enhance your understanding of advanced gauge theories and their connections to other areas of mathematical physics over the course of this in-depth, 100-minute presentation.