Speaker: Andrew Raich (Arkansas) Title: Analysis and Geometry in Several Complex Variables Abstract: In this talk, I will start by reviewing the Laplacian on R^n and two of its most well known estimates that showcase “elliptic regularity”. From there, I’ll pivot to the complex Laplacian (called the d-bar Neumann Laplacian) and boundary complex Laplacian (called…Continue Reading 4-17-2025: Andrew Raich, “Analysis and Geometry in Several Complex Variables”
Year: 2025
3-20-2025: Alvaro Lozano-Robledo, “From Diophantus to Bitcoin: why are elliptic curves everywhere?”
Speaker: Alvaro Lozano-Robledo (UConn) Title: From Diophantus to Bitcoin: why are elliptic curves everywhere? Abstract: Elliptic curves are ubiquitous in number theory, algebraic geometry, complex analysis, cryptography, physics, and beyond. They were present in Diophantus’ Arithmetica (3rd century AD) and, nowadays, they are more relevant than ever as a key ingredient in the algorithms that,…Continue Reading 3-20-2025: Alvaro Lozano-Robledo, “From Diophantus to Bitcoin: why are elliptic curves everywhere?”
3-4-2025: Andrew Putman, “The topology of the mapping class group.”
Speaker: Andrew Putman (Notre Dame) Tuesday Mar. 4, 3:30pm, ENGR 209 Title: The topology of the mapping class group Abstract: I will give a survey of the mapping class group, focusing on topological aspects but assuming no prior background on the subject….Continue Reading 3-4-2025: Andrew Putman, “The topology of the mapping class group.”
2-27-2025: Siddhi Krishna, “Braids: What, How and Why”
Speaker: Siddhi Krishna (Columbia) *Where and when: 4:30-5:30pm in ENGR 209 Title: Braids: What, How and Why Abstract: Braids are one of my favorite objects within math — in addition to being really useful, they help unify many different areas of math, including algebra, topology, geometry, combinatorics, and more! In this talk, I’ll tell you…Continue Reading 2-27-2025: Siddhi Krishna, “Braids: What, How and Why”
2-21-2025: Karl Schwede, “Measuring singularities over the complex numbers, in characteristic p> 0, and over the p-adic integers.”
Speaker: Karl Schwede (University of Utah) Fri. Feb. 21, 3:00 pm, Bell 2269 Title: Measuring singularities over the complex numbers, in characteristic p > 0, and over the p-adic integers. Abstract: Given a polynomial equation, one can consider it over the complex numbers and measure its singularities using geometric or analytic techniques. One may also…Continue Reading 2-21-2025: Karl Schwede, “Measuring singularities over the complex numbers, in characteristic p> 0, and over the p-adic integers.”