Video Lectures

The singularities in the reduction modulo $p$ of the modular curve $Y_0(p)$ are visualized by the famous picture of two curves meeting transversally at the supersingular points. It is a fundamental question to understand the singularities which...

We present recent advances in constructions of globally consistent
F-theory compactifications with the exact chiral spectrum of the minimal
supersymmetric Standard Model. We highlight the first such example and
then turn to a subsequent systematic...

Anomalies are invariants under renormalization group flow which lead to powerful constraints on the phases of quantum field theories. I will explain how these ideas can be generalized to families of theories labelled by coupling constants like the...