Hyperbolic & Dispersive Equations on Curved Geometries: Connections to Physics and General Relativity: April 7-11, 2025

Participant ListView Videos Schedule Hilton Hotel

Organized by:

  • Elena Giorgi (Columbia University)
  • Alexandru Ionescu (Princeton University)
  • Avy Soffer (Rutgers University)
  • Maxime Van de Moortel (Rutgers University)

This workshop will bring together leaders in the fields of Hyperbolic & Dispersive PDEs and General Relativity. The latter group comprises influential figures from both Mathematics and Physics communities. Our overarching objective is two-fold: to forge connections across both fields and to facilitate meaningful interactions between established leaders and promising early-career researchers. Furthermore, we aim to engage graduate students and postdocs in the greater New York area by offering them a unique chance to learn from and engage with leaders in the field.

Talk Schedule


Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Stability analysis of topological solitons and applications of the distorted Fourier transform Wilhelm Schlag SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am On global regularity theory for the Peskin problem Susanna Haziot SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:00pm Asymptotic behavior for the Vlasov-Poisson system with a perfectly conducting wall in a convex domain. Benoit Pausader SCGP 102
2:30pm Stable blowup for supercritical wave maps into perturbed spheres Birgit Schoerkhuber SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Flash Talks: : 1) Construction of multi-soliton solutions for semilinear equations in dimension 3 (Kadar), 2) Modified scattering for 1D cubic NLS with a slowly decaying potential (Stewart), 3) Asymptotics for nonlinear waves from past to future null infinity, with applications to the Einstein vacuum equations (Kehrberger) Istvan Kadar, Gavin Stewart, Leonhard Kehrbeger SCGP 102

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am TBA Igor Rodnianski SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Soliton dynamics for classical scalar fields Andrew Lawrie SCGP 102
12:00pm Group Photo N/A SCGP Lobby
12:00pm Lunch N/A SCGP Cafe
1:00pm On Vortices of Ginzburg-Landau evolutions Fabio Pusateri SCGP 102
2:30pm Finite time bubble trees for the energy critical wave maps Joachim Krieger SCGP 102
3:30pm Tea Time N/A SCGP Cafe

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Quasilinear wave equations on asymptotically flat spacetimes with applications to general subextremal Kerr black holes Mihalis Dafermos SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Semiclassical Backreaction on Black Hole Interiors Noa Zilberman SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:00pm Stability of the expanding region of Kerr-de Sitter spacetimes and smoothness at the conformal boundary Andras Vasy SCGP 102
2:30pm On hairy black holes in extensions of General Relativity Helvi Witek SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Special Lecture – Quantum Field Theory in Curved Spacetime Robert Wald SCGP 102
6:00pm Banquet Dinner N/A SCGP Cafe

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am A curious phenomenon in wave turbulence theory Gigliola Stafillani SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Integral formulas for under/overdetermined differential operators and applications to general relativistic initial data sets Sung-Jin Oh SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:00pm Polynomial Decay for the Klein-Gordon Equation on the Schwarzschild Black Hole Yakov Shlapentokh-Rothman SCGP 102
2:30pm Flash Talks: 1) Mode solutions to the Klein—Gordon equations on the Reissner—Nordström-AdS spacetimes and hairy black holes (Zheng), 2) Spectral projection bounds on hyperbolic surfaces (Leger), 3) Nonlinear Scattering Theory for Asymptotically de Sitter Vacuum Solutions (Cicortas) Weihao Zheng, Tristan Leger, Serban Cicortas SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm TBA Georgios Moschidis SCGP 102

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Sharp asymptotics for quasilinear wave equations satisfying a weak null condition Jonathan Luk SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Nonlinear stability of extremal Reissner–Nordström black holes in spherical symmetry Christoph Kehle SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:00pm Viscosity and the formation of shocks John Anderson SCGP 102
2:30pm Flash Talks: 1) Quantifying the blue-shift instability on naked singularity backgrounds (Singh), 2)Hyperbolic Estimates for Nonlinear Stability of Subextremal Reissner-Nordström (Wan), 3) Decomposition of global solutions for a class of nonlinear wave equations (Wu) Jaydeep Singh, Jingbo Wan, Xiaoxu Wu SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Probabilistic scaling, propagation of randomness and invariant Gibbs measures. Andrea Nahmod SCGP 102/ZOOM