Senior Honors Thesis Presentation: Introduction to the Riemann-Roch Theorem
Speaker: William Gillanders, Washington University in St. Louis
Abstract: The \textit{Riemann-Roch Theorem} is a cornerstone result in complex analysis, algebraic geometry, and differential geometry, exploring the link between the topology and analysis of a surface. The theorem transforms the challenge of constructing meromorphic functions with certain poles into a topological and combinatorial problem. In this talk, I will introduce the Riemann-Roch theorem, the mathematical machinery to understand it, and explain some of its applications.
Faculty Advisor: Xiang Tang