Prerequisite Calculus, Mathematics Statistics Abstract Sparse Identification of Nonlinear Dynamics (SINDy) is a machine learning method proposed by Steven L. Brunton group to identify the form
Prerequisite Discrete mathematics, algorithms, and elementary logic Abstract In this course, we study methods to define the behaviors of programs and approaches to reason about the properties
Abstract I will describe a uniform construction to gauge a discrete invertible symmetry S in possibly non-topological (D+1)-dimensional quantum systems with higher-categorical and possibly
Abstract Let $H$ be a graph with $\chi(H) = r+1$. Simonovits's theorem states that, for every edge-critical graph $H$, the unique largest $H$-free subgraph of $K_n$ is its largest $r$-partite
Abstract In my talk, I will report on recent joint work with I. Biswas, S. Dumitrescu and S. Heller showing the existence of holomorphic maps from a compact Riemann surface of genus g>1 in
Abstract Huybrechts proved that a stability condition on a K3 surface is determined by the stability of spherical objects. Motivated by the study of the Thurston compactification of spaces
Abstract I will report on some recent developments in the theory of p-adic differential equations. The talk will be an invitation to the theory and I'll try to maintain it accessible to a large
Lecturer Intro. I was born in Wuhan and grew up in the little German town Göttingen, which was home to an extraordinary amount of great Mathematicians (and Nobel prize winners) including all
主讲人介绍 Koji Shimizu obtained his Ph.D. at Harvard University and joined YMSC as an assistant professor in Fall of 2022. His main research interests lie in Number Theory and p-adic Geometry.
Prerequisite Graduate level algebra. Abstract In this course, we first introduce the notion modular tensor categories, and briefly explain how they are related to many areas of mathematics an
