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Experimental Methods in Combinatorics Dr. Jay Pantone Assistant Professor of Mathematics Marquette University What number comes next in the sequence 1, 2, 4, 8, 16, 32, ... ? How about 1, 2, 3, 5, 8, 13, ... ? Or maybe …

Mathematical Modeling of Cell Volume Control and Electrolyte Balance Prof. Yoichiro Mori Professor of Mathematics University of Pennsylvania Electrolyte and cell volume regulation is essential in physiological systems. Biophysical modeling in this area, however, has been relatively sparse. After a …

Mathematics around the Heisenberg Group Prof. Roger Howe Professor Emeritus Yale University In the mid 1920s, Werner Heisenberg formulated the CCR – canonical commutation relations – describing the relationship between the operations of measuring position and of measuring momentum of …

Hyperbolic groups, their boundaries and drilling Prof. Genevieve Walsh Professor of Mathematics Tufts University We will define and describe groups with a particular geometry, hyperbolic groups. We will define the boundary of a hyperbolic group and give many examples. If …

On Whitney numbers of the first and second kind, or is it the other way around? Dr. Rafael S. González D'León Assistant Professor  Loyola University Chicago Algebraic combinatorics is centered on the idea that a variety of algebraic objects can …

PDE Problems in Thin Filament Hydrodynamics Prof. Laurel Ohm Assistant Professor of Mathematics University of Wisconsin-Madison Many fundamental biophysical processes, from cell division to cellular motility, involve dynamics of thin structures immersed in a very viscous fluid. Various popular models …

Ion Channels, the Ultimate Multiscale Device Prof. Bob Eisenberg Professor of Biomathematics and Physiology Department of Physiology & Biophysics, Rush University, Chicago IL Proteins called ion channels are the ultimate multiscale device, the ‘nanovalves of life’ controlling most biological functions …

Parabolic System of Aggregation Formation in Bacterial Colonies Dr. Zhaosheng Feng Endowed Chair Professor of Mathematics University of Texas Rio Grande Valley The goal of this talk is to study a fourth-order nonlinear parabolic system with dispersion for describing bacterial …

Baby Mandelbrot Sets for Maximally Generalized McMullen Maps Dr. Daniel Stoertz Visiting Assistant Professor of Mathematics St. Olaf College In Complex Dynamics, we study the iteration of holomorphic or meromorphic functions on the complex plane or the Riemann sphere. Of …

Long-Time Behaviors of Stochastic Linear-Quadratic Optimal Control Problems Prof. Qingshuo Song Associate professor Worcester Polytechnic Institute In this talk, we will discuss the asymptotic behavior of the solution to a linear-quadratic stochastic optimal control problems. By establishing a connection between …