Professor of Applied Mathematics

Professor of Mathematics

Columbia University

I am a Professor of Applied Mathematics in the Department of Applied Physics and Applied Mathematicsemail:miw2103 at columbia dot edu

phone:212 854 3624

fax:212 854 8257

department phone:212 854 4457

address:Department of Applied Physics and Applied Mathematics Department of Mathematics Columbia University New York, NY

and a Professor of Mathematics in the Department of Mathematics at Columbia University.

I am Senior Fellow of the Simons Society of Fellows.

My research is supported by the National Science Foundation, and since 2015 by a Math + X Investigator Award (2015-2025) from the Simons Foundation.

My research interests are in the areas of Partial Differential Equations,

Applied Analysis, Dynamical Systems and their role in the study of Waves and Multiscale Phenomena in classical and quantum systems.

Research Projects include:

1) Waves in novel media, e.g. 2D quantum materials, metamaterials; Topologically protected states

2) Nonlinear Scattering, Dynamics of Hamiltonian PDEs

and applications to the Control of Coherent Structures in Optics and Quantum Physics

(3) Scattering Resonances and Applications to

Electromagnetics, Acoustics and Fluid dynamics

4) Optimization and Inverse Problems

5) Free boundary problems in fluids, e.g. dynamics of a deforming bubble in a liquid