CCMS Colloquium invites you to the final talk of the 2023-2024 academic year and the inaugural Barbara Beechler Lecture by Professor Judy Grabiner, Flora Sanborn Pitzer Professor of Mathematics Emerita. […]
What are the possible angles between two integer vectors in R^n? If we fix one such possible angle and one integer vector x, is there always another integer vector y […]
Title: Controlling the unmanageable: insight into control methods for biological systems Abstract: When formulating a model for a biological system, often we want to use the model to understand the […]
In order to understand a topological space X, it is often easier to understand X in terms of an action by a group G. When X is a compact complex […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Sam Nelson (CMC) Title: Biquandle Module Quiver Representations Abstract: Biquandle module enhancements are invariants of knots and links […]
Biquandle module enhancements are invariants of knots and links generalizing the classical Alexander module invariant. A quiver categorification of these invariants was introduced in 2020. In this work-in-progress (joint with […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Migiwa Sakurai (Shibaura Institute of Technology) Title: Clasp pass moves and arrow polynomials of virtual knots Abstract: For classical knots, clasp pass moves are closely related to Vassiliev invariants of degree 3. Tsukamoto showed that the values of the Vassiliev invariant of degree […]
Speaker: Andrés R. Vindas Meléndez, Assistant Professor of Mathematics, Harvey Mudd College, Claremont CA Title: An Invitation to Enumerative Geometric Combinatorics Abstract: Enumerative geometric combinatorics is an area of mathematics concerned with counting properties of geometric objects described by a finite set of building blocks. Lattice polytopes are geometric objects that can be formed by taking […]
Title: A crash course in Bornologies Abstract: By a bornology on a nonempty set X, we mean a family of subsets that contains the singletons, that is stable under finite unions, and that is stable under taking subsets. The prototype for a bornology is the so-called metric bornology: the family of metrically bounded subsets of […]
A modification of the cellular resolution of the diagonal given by Bayer-Popescu-Sturmfels gives a virtual resolution of the diagonal for smooth projective toric varieties and toric Deligne-Mumford stacks which are a global quotient of a smooth projective variety by a finite abelian group. In the past year, Hanlon-Hicks-Lazarev gave a minimal resolution of the diagonal […]
Title: A polyhedral view of refined q-t Catalan numbers Speaker: Max Hlavacek Assistant Professor of Mathematics and Statistics department, Pomona College, Claremont Abstract: Many problems in algebraic combinatorics have geometric objects lurking in the background, and bringing these objects forward can shed some light on the original problem. We begin with an introduction to polyhedral cones and their […]
