Prerequisite Real analysis, some knowledge of elliptic PDE would be helpful but not required. Abstract The goal of this course is to present the proof of the following remarkable result in
Abstract First-order methods are workhorses for large-scale optimization problems, but they are often agnostic to the structural properties of the problem under consideration and suffer from slow
Abstract I will describe construction of theta defects, which are topological defects in possibly non-topological systems. Such defects arise as a consequence of a discrete gauging or condensation
Abstract Configurations of axis-parallel boxes inare extensively studied in combinatorial geometry. Despite their innocent appearance, there are many old problems involving their structure
Prerequisite "Logic and Computation I". Those who did not take our course last semester had better consult with the lecturer or TA before enrolling this course. Please find more information on "Log...
Prerequisite Knowledges on mathematical physics equations, deep neural networks and the Python language. Abstract Differential equations can describe various natural and social phenomena.
Prerequisite The C programming language Abstract In this course, we will introduce how to implement crytpography security random number generation, block ciphers, hash functions, message
Abstract The classification of manifolds in various categories is a classical problem in topology. It has been widely investigated by applying techniques from geometric topology in the last century...
