Venue: 1084 East Hall
Bio: Michael J. Shelley is an American applied mathematician who works on the modeling and simulation of complex systems arising in physics and biology. He holds a BA in Mathematics from the University of Colorado (1981) and a PhD in Applied Mathematics from the University of Arizona (1985). He was a postdoctoral researcher at Princeton University, and then joined the faculty of mathematics at the University of Chicago. In 1992 he joined the Courant Institute of Mathematical Sciences at New York University where he is the George and Lilian Lyttle Professor of Applied Mathematics. He is also a Professor of Neuroscience (NYU) and Professor of Mechanical Engineering (NYU-Poly).
Professor Shelley’s work includes free-boundary problems in fluids and materials science, singularity formation in partial differential equations, modeling visual perception in the primary visual cortex, dynamics of complex and active fluids, cellular biophysics, and fluid-structure interaction problems such as the flapping of flags, stream-lining in nature, and flapping flight. He is also the co-founder and co-director of the Courant Institute’s Applied Mathematics Lab.
Many fundamental phenomena in eukaryotic cells — nuclear migration, spindle positioning, chromosome segregation — involve the interaction of (often transitory) cellular structures with boundaries and fluids. Understanding the consequences of these interactions require specialized numerical methods for their large-scale simulation, as well as mathematical modeling and analysis. In this context, I will discuss the recent interactions of mathematical modeling and large-scale, detailed simulations with experimental measurements of activity-driven Biomechanical processes within the cell.