# Matthew Rosenzweig

## Assistant Professor

**Address:**

7127 Wean Hall

Department of Mathematical Sciences

Carnegie Mellon University

5000 Forbes Avenue

Pittsburgh, PA 15213

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.