ICTS

Over the past century, quantum mechanics has reshaped our understanding of nature—from the structure of atoms and solids to the quantum fields underlying particle physics. This colloquium offers a guided tour of a few key milestones, starting with Schrödinger’s equation (1926) and culminating in...more

Modular fusion categories provide the algebraic data of a 2D rational Conformal Field Theory (CFT), and also a precise rulebook for fusion and braiding of anyons, with applications to topological phases of matter and topological approaches to quantum computation. Logarithmic CFT is expected to...more

Organisms in nature evolve within complex, species-rich communities shaped by ongoing ecological interactions. Yet theoretical frameworks remain fragmented—ecology often ignores evolution, while evolutionary theory neglects ecological effects. I will present our efforts to bridge this gap by...more

I will report on recent progress towards fundamental conjectures in quantum chaos, which assert that the statistics of quantum energy levels should be governed by a Poisson point process if the system is completely integrable (Berry & Tabor, 1977) or by random matrix theory if the underlying...more

In this talk, I will discuss my research program, which takes an information-theoretic approach to modern problems arising in sequential decision-making. In doing so, I will first revisit and expand upon the information-theoretic concept of universal probability. This approach gives us general...more