Past Events

The stochastic inverse problem of determining probability structures on input parameters for a physics model corresponding to a given probability structure on the output of the model forms the core of scientific inference and engineering design. We...

In this talk I will present some of the work done by my group on ion transport. The first part is on the analysis and computation of the Poisson-Nernst-Planck (PNP) model. We show that under normal physiological conditions, the PNP system can be...

Quadratic fields have been studied since the time of Gauss, and in modern times have been used in applications such as integer factorization and public-key cryptography. In this talk, we will give a brief overview of some applications and...

n this talk, I will present two recent results in the area of combinatorial reconfiguration, in the process providing both a primer for those unfamiliar with the reconfiguration framework and insights into new directions for those already familiar...

The classic theorem of Chebotarev tells us that for any Galois extension L/K of degree n the proportion of primes of K, whose Frobenius conjugacy class is a given conjugacy class of the Galois group is proportional to the size of that conjugacy class...

A video of this event is available on mathtube.org. A symmetric key cryptosystem is one in which the same secret key is used for both encryption and decryption. An encryption function in a block symmetric key cryptosystem is a function of both the...

The phrase "non-problems" in the title refers to a collection of adjectives that start with the prefix "non". These include "non-convex", "non-differentiable", "non-traditional", "non-trivial", and "non-stochastic gradient" (as a counter to a topical...

A video of this event is available on mathtube.org. I will present nonlinear dynamics for distributed decision-making that derive from principles of symmetry and bifurcation. Inspired by studies of animal groups, including house-hunting honeybees and...

The abstract grammatical system of a language both shapes and is shaped by the sounds of the particular words that speakers know. I present GLaPL, a computational model which concurrently learns gradient grammar and gradient word representations...

Thanks to the advancement of modern technology in acquiring data, massive data with diverse features and big volume are becoming more accessible than ever. The impact of big data is significant. While the abundant volume of data presents great...