Piotr Sułkowski on Mathematical aspects of Theoretical Physics

Recently, I came across a definition of a good theory: it should explain as much as possible, with as few ingredients as possible, and with as much accuracy as possible. I think that is something every serious physicist can relate to. And really, that is what modern theoretical physics is striving for — not just identifying what the universe is made of, but understanding the mathematical framework that makes the laws of nature hang together. That is why the mathematical formulation of quantum field theory is so important. It reveals the hidden structures behind particles, forces, symmetry, and even space itself, and it opens surprising connections to geometry, topology, and information. That is precisely the kind of frontier our guest explores, through research spanning string theory, gauge theory, Seiberg–Witten theory, matrix models, quantum curves, knot theory, and even biophysics through the topology of biomolecules. We’re thrilled to welcome Professor Piotr Sułkowski, a theoretical physicist at the University of Warsaw and a visiting faculty member at Caltech. He leads the Chair of Quantum Mathematical Physics, and his work explores some of the most elegant and fundamental structures in modern physics. Alongside that, he has also been actively involved in making science accessible to broader audiences through outreach projects like “Ask a Physicist.” Professor Sułkowski, it’s such a pleasure to have you with us today.Important links:Piotr's Website: https://psulkows.fuw.edu.pl/