bpineau2

Ben Pineau

Ben Pineau



I am currently a Simons Junior Fellow in the Simons Society of Fellows and am hosted by the Courant Institute of Mathematical Sciences in New York City. My mentor is Vlad Vicol. Here is my CV.

My email is brp305@nyu.edu

I study nonlinear PDE. My research interests are generally in physically motivated models, some of which include Schrödinger equations, free boundary Euler equations, water waves, and the equations of magnetohydrodynamics. I am also interested in stable phase retrieval.

I received my PhD in 2024 from the mathematics department at UC Berkeley. My advisor was Daniel Tataru. My dissertation can be viewed here.

Publications and preprints

  1. Cheeger’s constant for the Gabor transform and ripples, joint with with Rima Alaifari, Mitchell Taylor and Matthias Wellershoff. arXiv:2512.18058 [math.CA]

  2. A Poisson formula for the wave propagator on Schwarzschild-de Sitter backgrounds, joint with Izak Oltman. arXiv:2512.16054 [math.AP]

  3. On the optimal Sobolev threshold for evolution equations with rough nonlinearities, joint with Mitchell Taylor. arXiv:2505.14966 [math.AP]

  4. Global solutions for cubic quasilinear ultrahyperbolic Schrödinger flows, joint with Mihaela Ifrim and Daniel Tataru, accepted in Duke Mathematical Journal. arXiv:2504.06230 [math.AP]

  5. Sharp well-posedness for the free boundary MHD equations, joint with Mihaela Ifrim, Daniel Tataru, and Mitchell Taylor. arXiv:2412.15625 [math.AP]

  6. Sharp Hadamard local well-posedness, enhanced uniqueness, and pointwise continuation criterion for the incompressible free boundary Euler equations, joint with Mihaela Ifrim, Daniel Tataru, and Mitchell Taylor, accepted in Annals of PDE. arXiv:2309.05625 [math.AP]

  7. Low regularity solutions for the general quasilinear ultrahyperbolic Schrödinger equation, joint with Mitchell Taylor, accepted in Archive for Rational Mechanics and Analysis. arXiv:2310.19221 [math.AP]

  8. Stable phase retrieval in function spaces, joint with Daniel Freeman, Timur Oikhberg, and Mitchell Taylor, accepted in Math. Ann. arXiv:2210.05114 [math.FA]

  9. Examples of Hölder-Stable Phase Retrieval, joint with Michael Christ and Mitchell Taylor, accepted in Math. Res. Lett. arXiv:2205.00187 [math.CA]

  10. Global well-posedness for the generalized derivative nonlinear Schrödinger equation, joint with Mitchell Taylor, accepted in Nonlinearity. arXiv:2112.04648 [math.AP]

  11. No pure capillary solitary waves exist in 2D finite depth, joint with Mihaela Ifrim, Daniel Tataru and Mitchell Taylor, accepted in SIAM J. Math. Anal. arXiv:2104.07845 [math.AP]

  12. On Prodi–Serrin type conditions for the 3D Navier–Stokes equations, joint with Xinwei Yu, Nonlinear Analysis. Vol. 190, (2020). link

  13. A New Prodi–Serrin Type Regularity Criterion in Velocity Directions, joint with Xinwei Yu, Journal of Mathematical Fluid Mechanics. Vol. 20, pages 1737–1744 (2018). link

  14. New Regularity Criteria for the Navier-Stokes Equations in Terms of Pressure, joint with Xinwei Yu. arXiv:1910.08911 [math.AP]

Invited Talks and Conference Participation