The Algebra & Geometry of Modern Physics

This talk is a demo talk for my faculty interview. In the first 45 minutes, I will talk about the relationships between quantum physics and geometry mentioning my research in the colloquium-style. Using quantum knot invariants and Seiberg-Witten theory, I will explain how physics sheds new light on the concept of "quantization of geometry". The rest of time will be set up for answering questions and explanations of more details.