Virtual links can be represented as equivalence classes of Gauss diagrams under Reidemeister moves. The Forbidden Moves are moves which look plausible but change the virtual isotopy class of the knot or link -- indeed, virtual knots are all trivial if we allow forbidden moves. However, virtual links remain non-trivial. In this talk we show […]
Abstract: A proper coloring of a graph is an assignment of colors from \( \{1, 2, \ldots, k\} \) to each node of a graph such that no two nodes connected by an edge receive the same color. Let \( \Delta \) denote the maximum degree of the graph. If \( k \geq \Delta + […]
CCMS Colloquium invites you to a talk by John Baez (UCR) Title: The mathematics of tuning systems Abstract: Leibniz said "Music is the pleasure the human mind experiences from counting without […]
We will examine the multiplicative structure of two skein algebras--- the usual Kauffman bracket skein algebra of a surface (generated by loops) and a generalization of it due to Roger-Yang […]
CCMS Colloquium invites you to a talk by Teal Witter (CMC) Title: Exactly Computing do-Shapley Values Abstract: Causal questions lie at the heart of scientific inquiry, from evaluating economic policies […]
This GEMS session will be facilitated by Professor Teal Witter from Claremont McKenna College. Title: Who Can Write Down the Bigger Number? Abstract: If you had fifteen seconds to write […]
Abstract: The three-dimensional incompressible Euler equations describe the motion of an ideal fluid, yet the mechanisms that govern the possible loss of regularity of smooth solutions remain only partially understood. A classical result of Beale, Kato, and Majda shows that if a smooth solution breaks down in finite time, then the time integral of the […]
Abstract: In general, the objective of algebraic topology is to classify spaces using some algebraic invariants or up to some notion of equivalence. In the area of equivariant homotopy theory, the goal is the same but now spaces equipped with a group action are considered and algebraic invariants of choice are homotopy groups. It turns […]
CCMS Colloquium invites you to a talk by Sofia Martinez Alberga (Bryn Mawr College) Title: Stay in the Loop and Fun Group Abstract: In this talk, we will discuss the goal of […]
Abstract: Existing tools for explaining complex models and systems are associational rather than causal and do not provide mechanistic understanding. We propose a new notion called counterfactual explainability for causal attribution that is motivated by the concept of genetic heritability in twin studies. Counterfactual explainability extends methods for global sensitivity analysis (including the functional analysis […]
This is a talk in two parts covering two projects that the speaker mentored over the summer of 2025. The first project deals with the study of polytopes that arise […]
Abstract: Let C be a compact convex set (in a locally convex topological vector space). By Choquet’s theorem, every point in C is the barycenter of a probability measure supported on the extreme points. When this representing measure is unique, C is called a simplex. Simplices arise naturally in various fields of mathematics: the space […]
