Michael I. Weinstein

Michael I. Weinstein is a Professor of Applied Mathematics and Professor of Mathematics at Columbia University, with dual appointments in the Department of Applied Physics and Applied Mathematics and the Department of Mathematics. He serves as a Senior Fellow of the Simons Society of Fellows and was elected to the American Academy of Arts and Sciences in 2025. His research is supported by the National Science Foundation and a Math + X Investigator Award from the Simons Foundation (2015-2025).

• Columbia University: Professor of Applied Mathematics
• Columbia University: Professor of Mathematics
• Simons Society of Fellows: Senior Fellow
• American Academy of Arts and Sciences: Elected Member (2025)

Professor Weinstein's research focuses on Partial Differential Equations, Applied Analysis, and Dynamical Systems as they relate to wave phenomena and multiscale problems in classical and quantum systems. His work spans theoretical mathematical analysis with significant applications in physics, optics, and materials science. Key research areas include waves in novel media such as 2D quantum materials and metamaterials, topologically protected states, nonlinear scattering theory, dynamics of Hamiltonian PDEs, and applications to control of coherent structures in optics and quantum physics. He also investigates scattering resonances with applications to electromagnetics, acoustics, and fluid dynamics, along with optimization, inverse problems, and free boundary problems in fluids.

His recent publications demonstrate a strong focus on topological phenomena in honeycomb structures, edge states, and topologically protected systems. The research shows progression from fundamental mathematical analysis of nonlinear wave equations toward applications in photonic systems and quantum materials. His work combines rigorous mathematical techniques with physical insights, bridging pure mathematics and applied physics.

• Senior Fellow of the Simons Society of Fellows
• Elected to the American Academy of Arts and Sciences (2025)
• Math + X Investigator Award from the Simons Foundation (2015-2025)

Professor Weinstein's research has been consistently supported by major funding sources including the National Science Foundation and Simons Foundation. He has organized numerous workshops and conferences on topics including topologically protected states, free boundary problems, and mathematical aspects of condensed matter physics. His work has involved collaborations with researchers across mathematics, physics, and engineering disciplines, reflecting the interdisciplinary nature of his research.

His research group has investigated waves in novel media, nonlinear scattering phenomena, and topologically protected states through both theoretical analysis and computational studies. The work has applications in photonics, quantum materials, and fluid dynamics, demonstrating the broad impact of his mathematical approaches.