- Bochner-Riesz, Restriction, and Kakeya estimates
- Linear and bilinear dispersive equation estimates, and well-posedness of dispersive equations for rough data
- The symplectic and representation theory of U(n) and similar groups, and the honeycomb model
- L^p properties of multilinear singular integrals and multipliers, and applications to Schrodinger eigenfunctions
- Analysis of dispersive PDE (KdV, NLS, NLW, Wave maps, beyond the reach of iterative (or Fourier) methods
- Spectral sets and Fuglede's conjecture
- Endpoint estimates for rough operators

The averaging lemma in dissipative transport equations | Eitan Tadmor |

Boundedness of 1D Schrodinger eigenfunctions with L^2 potential | Camil Muscalu
Christoph Thiele |

Well-posedness of Einstein's equations with L^2 curvature | Sergiu Klainerman
Igor Rodnianski |

Exact sequences of torsion modules | Bill Fulton |

Global regularity for wave maps III. Large data in two dimensions | Mark Keel |

The Schubert calculus for flag manifolds | Allen Knutson |

The two-weight weak-type problem for the Hilbert transform | Carlos Perez |

On sections of convex bodies by hyperplanes at a fixed distance from the origin | Alexander Koldobsky |

Preprints and projects close to completion