Michael J. Shelley (born August 17, 1959) is an American applied mathematician who works on the modeling and simulation of complex systems arising in physics and biology.
This has included 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.
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 as well as Professor of Neuroscience (NYU) and Professor of Mechanical Engineering (NYU-Tandon).
In 2016 he also became a senior research scientist and group leader in biophysical modeling at the Center for Computational Biology (CCB) of the Flatiron Institute, a division of the Simons Foundation.