Carnegie Mellon University

Matthew Rosenzweig

Assistant Professor

7127 Wean Hall
Department of Mathematical Sciences
Carnegie Mellon University
5000 Forbes Avenue
Pittsburgh, PA 15213

P: 412-268-2545



Matthew Rosenzweig


Ph.D. in Mathematics, University of Texas at Austin

Postdoctoral Appointment:

  • Massachusetts Institute of Technology


My current research interests lie at the intersection of mathematical physics, nonlinear partial differential equations, and probability. More specifically, I have been recently interested in the mathematics of nonlinear dispersive, fluid, and kinetic equations and their derivation through scaling limits from underlying physical problems, such as large classical & quantum systems of particles or waves.  More details on my research can be found here.

My research is funded in part by the NSF through grant DMS-2206085.

Select Publications

J. Huang, M. Rosenzweig, S. Serfaty. Fluctuations around the mean-field limit for noisy singular Riesz flows, in preparation.

M. Rosenzweig, S. Serfaty. Modulated logarithmic Sobolev inequalities and generation of chaos,, 19 pgs., preprint (2023).

S. Aryan, M. Rosenzweig, G. Staffilani. Trend to equilibrium for flows with random diffusion,, 17 pgs, preprint (2023).

A. Hannani, M. Rosenzweig, G. Staffilani, M.B. Tran. On a transport-diffusion equation originating in wave turbulence theory, in preparation.

A. Hannani, M. Rosenzweig, G. Staffilani, M.B. Tran. On the wave turbulence theory for a stochastic KdV type equation - generalization for the inhomogeneous kinetic limit,, 109 pgs., preprint (2022).

A. Chodron de Courcel, M. Rosenzweig, S. Serfaty. The attractive log gas: phase transitions, (non)uniqueness and nonlinear (in)stability of equilibria, and uniform-in-time mean-field convergence, in preparation.

A. Chodron de Courcel, M. Rosenzweig, S. Serfaty. Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows,, 63 pgs, preprint (2023).

M. Rosenzweig. Scaling-critical mean-field convergence for systems with Riesz interactions, in preparation.

J.K. Miller, A.R. Nahmod, N. Pavlović, M. Rosenzweig, G. Staffilani. A Rigorous Derivation of the Hamiltonian Structure for the Vlasov Equation,, 54 pgs., preprint (2022).

M. Rosenzweig, S. Serfaty. Sharp estimates for variations of Coulomb and Riesz modulated energies, applications to supercritical mean-field limits, in preparation.