A wide variety of medical imaging methods exist for research and diagnostic procedures on the Central Nervous System (CNS), among them Magnetic Resonance Imaging (MRI) and Optical Imaging. Mathematical modeling […]
Extremal graph theory asks how many edges a graph can have while avoiding a given substructure. We will begin with a brief, accessible introduction to this area, before turning to […]
Speaker: Helen Wong (CMC) Title: Introduction to the colored Jones polynomial Abstract: This is a learning seminar. We will present an accessible definition of the colored Jones polynomial for knots and links and discuss the Volume Conjecture, which relates the colored Jones polynomial of K with the volume of its complement S^3 \K. _______ We […]
Abstract: Stable Khovanov homology Kh(T(n, \infty)) is an algebraic limit of the Khovanov homology groups of torus links T(n, k) on a fixed number of strands n, when more and […]
This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College. Title: The Magic of 0s and 1s Abstract: Have you ever wondered how data in a computer is stored? In this talk, we'll crack open the binary numeral system, the simple code of 0s and 1s that represents everything on your […]
Political scientists forecast elections, not primarily to satisfy public interest, but to validate statistical models used for estimating quantities of scholarly interest. Although scholars have learned a great deal from […]
The Jones Polynomial is an important invariant of knots with applications in physics, quantum computation and more. In this talk I will introduce a family of generalizations of the Jones […]
Speaker: Puttipong Pongtanapaisan (Pitzer) Title: Introduction to Quantum Invariants of 3-Manifolds Abstract: The previous speakers showed us how to distinguish knots and links using techniques involving quantum groups. I will […]
Abstract: In this talk, we study the optimal timing of selling a risky asset within the distribution builder framework. Instead of specifying a utility function or risk-aversion parameter, this approach […]
A classical principle in algebraic geometry is that a general hyperplane section of a variety should have singularities no worse than those of the variety itself. Over the complex numbers, […]
Speaker: Jim Hoste (Pitzer) Title: Enumerating 2-bridge knots Abstract: A new proof of an old theorem. This is joint work with Patrick D. Shanahan (Loyola Marymount University). _______ We especially welcome […]
Abstract: Rings containing a finite field mathbb{F}_p (such as the ring of polynomials with coefficients in mathbb{F}_p) admit a map called the Frobenius homomorphism which sends every element to its […]
