Matthew Rosenzweig
Assistant Professor
Address:
7127 Wean Hall
Department of Mathematical Sciences
Carnegie Mellon University
5000 Forbes Avenue
Pittsburgh, PA 15213
P: 412-268-2545
Education
Ph.D. in Mathematics, University of Texas at Austin
Postdoctoral Appointment:
- Massachusetts Institute of Technology
Research
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, https://arxiv.org/abs/2307.07587, 19 pgs., preprint (2023).
S. Aryan, M. Rosenzweig, G. Staffilani. Trend to equilibrium for flows with random diffusion, http://arxiv.org/abs/2307.03147, 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, https://arxiv.org/abs/2210.17445, 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, https://arxiv.org/abs/2304.05315, 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, https://arxiv.org/abs/2206.07589, 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.