Events
Christine Ruey Shan Lee, Plamenevskaya’s invariant from the stable Khovanov homology of twisted torus knots
A transverse link is a link in the 3-sphere that is everywhere transverse to the standard contact structure. Transverse links are considered up to transverse isotopy, with classical invariants such as the self-linking number and regular isotopy class. One of the first connections between transverse links and quantum invariants was made by Plamenevskaya in 2006,…
Dr. Campbell’s Retirement Reception
SAS 4104Steve Campbell will be retiring as of January 1, 2019 after 47 years of service to the department.
SIAM Seminar: ML Explainability vs. Adversarial ML
Mann 404How do we know that we can trust our machine learning models? How do we detect when an adversary is exploiting our machine learning solutions? How does the explainability of machine learning models help the customers of such models versus helping the adversaries of such models? In this talk we will examine recent issues in Machine…
Honors Research Presentation
SAS 2102Grant Barkley Title: Coxeter Groups and the Lattice of Total Orders Abstract: A Coxeter group is a group generated by elements of order 2, called reflections, along with certain relations between the elements. The group of permutations on n elements (generated by swapping 1 and 2, 2 and 3, etc.) is an important…
Thomas McConville, University of North Carolina at Greensboro, Chapoton triangles from multidimensional Catalan objects
Chapoton triangles are polynomials in two variables defined by Coxeter-Catalan objects. These polynomials are related by some remarkable identities that only depend on the rank of the associated (finite) Coxeter system. The multidimensional Catalan numbers enumerate the number of standard Young tableaux of a rectangular shape. In this talk I will introduce some other combinatorial objects counted by these numbers. I…
Alexander Shapiro, Univ. of California, Berkeley, Modular functor from higher Teichmüller theory
Quantized higher Teichmüller theory, as described by Fock and Goncharov, assigns an algebra and its representation to a surface and a Lie group. This assignment is equivariant with respect to the action of the mapping class group of the surface, and is conjectured to give an analog of a modular functor, that is it should respect the operation…
Spring 2020 Beginning of Semester Meeting
SAS 1102Dean McGahan will be attending and will speak at the meeting. I am happy to solicit questions from the faculty and staff that will be sent to the Dean ahead of the meeting so that she can address them. The Dean will be available for about 25 minutes at the start of the meeting. We plan…
Maria-Veronica Ciocanel, Ohio State University, Stochastic and continuum dynamics in cellular transport
The cellular cytoskeleton is essential in proper cell function as well as in organism development. These filaments represent the roads along which most protein transport occurs inside cells. I will discuss examples where questions about filament-motor protein interactions require the development of novel mathematical modeling, analysis, and simulation. In the development of egg cells into…
Corey Jones, Ohio State University, Fusion categories and their applications in mathematical physics
Fusion categories are rich mathematical structures generalizing the representation categories of finite groups. They arise in many areas of mathematics and physics. Most strikingly, they have emerged as models for particle-like excitations with exotic exchange statistics in low dimensional quantum field theories. We will provide an introduction to these ideas and discuss recent results on…
Peter McGrath, Univ. of Pennsylvania, Existence and Uniqueness Results for Minimal Surfaces
A hypersurface in a Riemannian manifold is called minimal if its mean curvature vanishes identically. Minimal surfaces have fascinated mathematicians since the time of Euler, and tremendous progress has been made in understanding the structure of the space of embedded minimal surfaces in various ambient manifolds in the last 50 years. After surveying the subject, I will…
JMM Reception
Denver, ColoradoThe department will host a reception at the JMM in Denver on Friday January 17th, 6:00-8:00 pm, Capitol Ballroom 6, Hyatt. All alumni, friends, and participants in the Department of Mathematics programs at North Carolina State University are invited to attend and meet old friends, and to hear about recent events in the department. Hors…
Charles Puelz, Courant Institute, Computer models and numerical methods for mathematical cardiology
This talk will cover two approaches for modeling blood flow in the human body. The first approach describes blood transport in elastic vessels and requires the numerical solution of a nonlinear hyperbolic system on branching vessel networks. I will discuss some mathematical properties of these equations that seem to be useful for analysis of numerical schemes,…