Mathematical Modelling of Protein Oscillations in Bacteria Peter Rashkov Institute of Mathematics and Informatics - Bulgarian Academy of Sciences Associate Professor “Pole-to-pole oscillations of protein concentrations are observed in connection with cell division or movement and mathematical models have been... Read More
Antiderivatives and Linear Differential Equations Using Matrices Songpon Sriwongsa University of Wisconsin-Milwaukee PhD Graduate Student “The concepts of a basis as well as a matrix for a linear transformation relative to a basis are fundamental in linear algebra. In 1997,... Read More
Numerical Solution of Stochastic Control Problems Using the Finite Element Method Martin Vieten University of Wisconsin-Milwaukee PhD Graduate Student “The linear programming approach to stochastic control has provided insight on a wide variety of control problems, including singular control and... Read More
The 29th Annual Marden Lecture on Mathematics presents: Why Quantum Theory Chooses Von Neumann Algebras Vaughan Jones Vanderbilt University Stevenson Distinguished Professor Fields Medal Recipient “We will assume no knowledge of von Neumann algebras, which will be introduced as von... Read More
Some Unitary Representations of R. Thompson's Groups F and T Vaughan Jones Vanderbilt University Stevenson Distinguished Professor Fields Medal Recipient “Thompson’s groups are groups of piecewise linear homeomorphisms of the interval and circle where all the non-smooth points are dyadic... Read More
Functional Derivatives Martin Vieten University of Wisconsin-Milwaukee PhD Graduate Student “The concept of the derivative of a single-variate function is one of the first concepts students are exposed to in elementary calculus. Typically, it is introduced using the 'classical' limit... Read More
How Does the Leopard Get Their Spots? Bill Langhoff University of Wisconsin-Milwaukee MS Graduate Student “In his 1952 paper "The Chemical Basis of Morphogenesis", Alan Turing described a mathematical model for how spatial patterns could arise out of a homogeneous... Read More
Multistationarity in Biochemical Reaction Networks Dr. Maya Mincheva Northern Illinois University Associate Professor “Multistationarity is defined as the existence of several positive equilibria of an ordinary differential equations model. Multistationarity is a required property of biological switches - reaction networks... Read More
Diffusion Approximations and Optimal Control of Queueing Systems in Heavy-Traffic Ananda Weerasinghe Iowa State University Professor of Mathematics “The method of diffusion approximations provides a powerful tool to analyze complex queueing systems under ``heavy traffic conditions.’’ We first introduce such... Read More
Some Questions in Harmonic Analysis Involving Curvature Betsy Stovall University of Wisconsin-Madison Assistant Professor of Mathematics “We will describe some open and recently solved questions in Harmonic Analysis where curvature plays a crucial role. In particular, we will discuss how... Read More