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Analysis of Partial Differential Equations arising in Physics
―A satellite conference of the 2026 ICM

July 13-17, 2026

 

Overview

 

To celebrate the return of the International Congress of Mathematicians to the United States after a forty-year absence, we propose a satellite conference focusing on the analysis of Partial Differential Equations used to describe the physical world. The scope of the conference covers a broad range of topics, including fluid dynamics, General Relativity, optics and quantum mechanics, all unified by their connection to hyperbolic and dispersive PDEs. We aim to leverage the fantastic research environment of the northeastern USA to attract prominent mathematicians from around the world while also creating opportunities for graduate students and early-career researchers to learn from and engage with leaders in the field.

The key themes of conference include the following topics of importance in fluid dynamics, hyperbolic & dispersive PDEs, General Relativity, optics and quantum mechanics:

  • Asymptotic behavior of nonlinear dispersive PDEs.
  • Singularities formation and stability in semi and quasilinear PDEs.
  • Turbulence in fluids and dispersive PDEs.
  • Inverse problems and scattering of waves.
  • Propagation of randomness and invariant measures for hyperbolic & dispersive PDEs.

    • Organizers

     

    Fioralba Cakoni, Rutgers University fc292@math.rutgers.edu

    Andrea Nahmod, University of Massachusetts Amherst nahmod@umass.edu

    Toan Nguyen, Pennsylvania State University nguyen@math.psu.edu

    Avy Soffer, Rutgers University soffer@math.rutgers.edu,

    Maxime Van de Moortel, Rutgers University maxime.vandemoortel@rutgers.edu