Genera of Knots in the Complex Projective Plane Mr. Jake Pichelmeyer Kansas State University PhD Student (ABD) “Let K be a knot and M be a smooth, closed four-dimensional manifold. The M-genus of K (plural: genera) is the least genus... Read More
Probabilistic Methods in Geometry Mr. Praydeep Parija University of Wisconsin-Milwaukee PhD Graduate Student – Teaching Assistant “Parallel Straight Lines are drawn on the plane, at a distance d from each other. A needle of length L is dropped at random... Read More
An SOS Counterexample to an Inequality of Symmetric Functions Alex Heaton Max Planck Institute for Mathematics in Science Postdoctoral Researcher “It is known that differences of symmetric functions corresponding to various bases are nonnegative on the nonnegative orthant exactly when... Read More
The Screensaver Problem Mr. Preston Walker University of Wisconsin-Milwaukee PhD Graduate Student – Teaching Assistant “Consider a screensaver where a logo is bouncing off the sides of the screen. We will talk about a problem related to this and discuss... Read More
A Brief Introduction of the Poisson-Nernst-Planck Model for Biological Ion Channels Mr. Zhen Chao University of Wisconsin-Milwaukee PhD Graduate Student – Fellow “Ion channels are a class of proteins with holes down their middle that provide pathways for the movement... Read More
Time-Inconsistent Optimal Control Problems Prof. Jiongmin Yong University of Central Florida Professor of Mathematics “Do you regret your decisions made in the past? If your answer is “yes”, you are a normal person. If your answer is “no”, you are... Read More
Fibonacci, Tribonaci, ... , Gibonacci Mr. Mark Carthon III University of Wisconsin-Milwaukee MS Graduate Student – Teaching Assistant “Everyone knows what the Fibonacci sequence is, but have you heard of the Tribonacci sequence? It turns out that the concept of... Read More
Comparison Principle for a Hamilton-Jacobi Equation Derived from 2-D Navier-Stokes Equation Mr. Hongwei Mei University of Kansas Visiting Assistant Professor “In this talk, I will talk about a comparison principle for a Hamilton-Jacobi equation on the space of probability measures.... Read More
Foster-Lyapunov Type Criterion for Non-Explosive Markov Processes Mr. Khwanchai Kunwai University of Wisconsin-Milwaukee PhD Graduate Student “Given a continuous-time Markov process, we will define the infinitesimal generator of the process. This generator determines the behavior of the process itself. To... Read More
Drawing Category Theory (For Those Who Know Nothing About It) Mr. Ashani Dasgupta University of Wisconsin-Milwaukee PhD Graduate Student - Teaching Assistant “We will draw easy pictures to understand fancy words such as “direct limit”, “inverse limit”, “Hom functor”. We... Read More