Matthew Rosenzweig

Matthew Rosenzweig is an Assistant Professor in the Department of Mathematical Sciences at Carnegie Mellon University's Mellon College of Science, specializing in mathematical physics, nonlinear partial differential equations, and probability with applications to many-body systems and wave turbulence.

His educational background includes:

• Ph.D. in Mathematics, University of Texas at Austin
• Postdoctoral Appointment, Massachusetts Institute of Technology
• Undergraduate Degree, Harvard University

Rosenzweig's research focuses on effective dynamics of large-scale systems such as Coulomb/Riesz gases, where he derives nonlinear dispersive, fluid, and kinetic equations from microscopic particle interactions. His work bridges physics and mathematics, increasingly incorporating statistical and machine learning perspectives. Key contributions address mean-field convergence, propagation of chaos, and scaling limits for singular interactions.

Analysis of his 15 most recent publications (2022-2024) reveals a dominant trend in uniform-in-time mean-field theory for singular potentials, with strong emphasis on logarithmic Sobolev inequalities, wave turbulence connections (e.g., stochastic KdV equations), and fluid dynamics applications like the Lake equation. The research spans mathematical physics, probability theory, and nonlinear PDE analysis, often featuring collaborations with Sylvia Serfaty and Gigliola Staffilani.

Rosenzweig's research is funded by National Science Foundation grants DMS-2441170 and DMS-2345533. As a former CLE Moore Instructor at MIT and Simons Collaboration postdoc, he maintains active involvement in the Center for Nonlinear Analysis at CMU, though no formal lab structure is specified in available materials.