Gigliola Staffilani


	Gigliola Staffilani Professor of Mathematics Department of Mathematics Massachusetts Institute of Technology
Research Teaching My Calendar Seminars Editorial Papers supported by NSF Grant #1068815 Papers supported by NSF Grant #0602678 Women in Mathematics	Department of Mathematics Massachusetts Institue of Technology 77 Massachusetts Ave, Room 2-246 Cambridge, MA 02139-4307 USA (617) 253-4981 gigliola(at)math.mit.edu

RESEARCH My main interest is in Partial Differential Equations and Harmonic Analysis. Here is my cv. Here are recent papers to get an idea of what I have been working on in recent years. If you want to learn more about dispersive equation check the following sites: Dispersive Wiki , webpage on Dispersive Equations Here are some recent talks: Almost sure g.w.p, Gibbs measures and gauge transformations On dispersive equations and their importance in mathematics Very weak turbulence for certain dispersive equations Collaborators: Valeria Banica Remi Carles Hans Christianson Jim Colliander Jean-Marc Delort Daniela De Silva Pierre Germain Daniela De Silva Vera Hur Alex Ionescu Mark Keel Carlos Kenig Kay Kirkpatrick Sergiu Klainerman Andrea Nahmod Toby Lamm Enno Lenzmann Hiro Oh Natasa Pavlovic Dan Pollack Sarah Raynor Luc Rey-Bellet Igor Rodnianski Yanir Rubinstain Scott Scheffield Benjamin Schlein Hideo Takaoka Terry Tao Daniel Tataru Tatiana Toro Nikolaos Tzirakis

TEACHING This fall I am teaching 18.158 Topics in Differential Equations.

MY CALENDAR September 17-18, 2011 AWM 40th Anniversary Conference January 4-7, 2012 AMS Conference, Boston

SEMINARS Lunch Seminar for Grad Students PDE/Analysis seminar D.W. Weeks Lecture Series

EDITORIAL I am an editor for the journals CPAA and Selecta Mathematica. I am also a member of the editorial committee for Graduate Studies in Mathematics

PAPERS SUPPORTED BY NSF GRANT #1068815 On the continuum limit for discrete NLS with long-range lattice interactions Kay Kirkpatrick, Enno Lenzmann, Gigliola Staffilani
PAPERS SUPPORTED BY NSF GRANT #0602678 Absolute continuity of Brownian bridges under certain gauge transformations Andrea R. Nahmod, Luc Rey-Bellet, Scott Sheffield, Gigliola Staffilani On the global well-posedness of energy-critical Schrödinger equations in curved spaces Alexandru D. Ionescu, Benoit Pausader, Gigliola Staffilani Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS Andrea Nahmod, Tadahiro Oh, Luc Rey-Bellet, Gigliola Staffilani Strichartz estimates for the water-wave problem with surface tension. Authors: Hans Christianson, Vera Mikyoung Hur, Gigliola Staffilani. On the global well-posedness of the one-dimensional Schrodinger map flow. Authors: Igor Rodnianski, Yanir A. Rubinstein, Gigliola Staffilani. Weakly turbulent solutions for the cubic defocusing nonlinear Schrodinger equation. Authors: J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao. Derivation of the two dimensional nonlinear Schrodinger equation from many body quantum dynamics. Authors: Kay Kirkpatrick, Benjamin Schlein, Gigliola Staffilani. Semilinear Schrodinger Flows on Hyperbolic Spaces: Scattering in H^1 Authors: Alexandru D. Ionescu, Gigliola Staffilani. Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2 Authors: J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao. Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schrödinger equation in $\R$. Authors: Daniela De Silva, Natasa Pavlovic, Gigliola Staffilani, Nikolaos Tzirakis. Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO^{-1}. Authors: Pierre Germain, Natasa Pavlovic, Gigliola Staffilani. Global Well-Posedness for the $L^2$-critical nonlinear Schrödinger equation in higher dimensions. Authors: Daniela De Silva, Natasa Pavlovic, Gigliola Staffilani, Nikolaos Tzirakis. Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Authors: Valeria Banica, Remi Carles, Gigliola Staffilani.

WOMEN IN MATHEMATICS MIT Women in Mathematics Association for Women in Mathematics (AWM) Women and Mathematics, A Program of the IAS and Princeton MIT Women in Mathematics Conference: A Celebration (supported by NSF Award No.DMS-0749377)