This GEMS session will be facilitated by Professor David Bachman from Pitzer College. Title: How does ChatGPT work? Abstract: In 2022 ChatGPT took the world by storm and challenged our ideas of what computers are capable of. However, few people have any sense of how this technology works. Through hands-on activities participants will learn about […]
The classical Noether-Lefschetz Theorem states that a suitably general algebraic surface S of degree d ≥ 4 in complex projective 3-space P3 contains no curves besides complete intersections, that is, curves of the form S ∩ T where T is another surface. After discussing briefly Noether’s non-proof of this theorem and hinting at the idea […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Vijay Higgins (UCLA) Title: Webs and skein algebras Abstract: The Jones polynomial of a link can be computed diagrammatically by using skein relations, which encode the representation theory of SL(2). By considering the vector space spanned by links drawn on a surface and […]
Speaker: Michelle Manes, AIM Title: Dynamical Systems and the Period 3 Implies Chaos Theorem Abstract: Sharkovskii’s theorem, sometimes called "period 3 implies chaos," concerns a one-dimensional real dynamical system: a function from the real line to itself that you iterate and study the orbits of points. This theorem is fascinating because of its very simple […]
Integer partitions are ubiquitous in mathematics, arising in subjects as disparate as algebraic combinatorics, algebraic geometry, number theory, representation theory, to mathematics physics. Many of the deepest results on partitions […]
We welcome all undergraduate/graduate students and faculty to attend the Topology Seminar! Speaker: Claudio Gomez-Gonzales (Carleton College - UC Irvine) Title: How hard could it be? A tour of resolvent […]
Speaker: Dorothy Buck, Professor of Mathematics, Duke University Title: Molecular Pasta: Complex Entanglement in Biopolymers Abstract: If you’ve cooked spaghetti, you’ve probably noticed how the pasta becomes entangled in the […]
Speaker: Iris Clever, University of Chicago Title: The Making of the Modern Statistical Identity: From Skull Science to Biometrics Abstract: In this presentation, I uncover an overlooked genealogy of biometrics, tracing […]
Title: Designing Robust Networks of Coupled Phase Oscillators with Applications to the High-Voltage Electric Grid Abstract: A network is any collection of objects, called nodes, in which some pairs of […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Heather Lee Title: Some examples of homological mirror symmetry Abstract: Mirror symmetry is a duality phenomenon between symplectic […]
