Gigliola Staffilani

Abby Rockefeller Mauze Professor
Department of Mathematics
Massachusetts Institute of Technology

Staffilani Photo

Research

Teaching

Seminars

Editorial

Papers Supported by NSF Grants

Women in Mathematics

In the Media

Programs and Conferences Organized

 

Department of Mathematics
Massachusetts Institue of Technology
77 Massachusetts Ave, Room 2-251
Cambridge, MA 02139-4307
USA

(617) 253-4981
gigliola(at)math.mit.edu

 

New

DRP Network Conference, MIT, May 26-27, 2018.

     

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
Philip Gressman
Vera Hur
Alex Ionescu
Mark Keel
Carlos Kenig
Kay Kirkpatrick
Sergiu Klainerman
Andrea Nahmod
Toby Lamm
Enno Lenzmann
Hiro Oh
Benoit Pausader
Natasa Pavlovic
Dan Pollack
Sarah Raynor
Luc Rey-Bellet
Igor Rodnianski
Yanir Rubinstain
Scott Scheffield
Benjamin Schlein
Vedran Sohinger
Hideo Takaoka
Terry Tao
Daniel Tataru
Daniela Tordella
Tatiana Toro
Nikolaos Tzirakis

     

TEACHING

Fall 2016: 18.01A, Calculus

Spring 2017: 18:158, Topics in Differential Equations

 

     

SEMINARS

PDE/Analysis seminar

     

EDITORIAL

I am on the editorial board for the journals Bollettino UMI, IJM, Selecta Mathematica, SIMA, and Stochastics and Partial Differential Equations: Analysis and Computations.

I am also a member of the editorial committee for Graduate Studies in Mathematics.

     

PAPERS SUPPORTED BY NSF GRANTS

GRANT #DMS-1462401

GRANT #DMS-1362509

GRANT #DMS-1068815

On the continuum limit for discrete NLS with long-range lattice interactions
Kay Kirkpatrick, Enno Lenzmann, Gigliola Staffilani

Randomization and the Gross-Pitaevskii hierarchy
Vedran Sohinger, Gigliola Staffilani

Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
Andrea Nahmod, Gigliola Staffilani

On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy
P. Gressman, V. Sohinger, G. Staffilani

Almost sure existence of global weak solutions for super-critical Navier-Stokes equations
Andrea R. Nahmod, Nataša Pavlović, Gigliola Staffilani

Dispersive equations and their role beyond PDE. Current Events, Bulletin, AMS
Gigliola Staffilani

Periodic Schrödinger equations in Hamiltonian form. HCDTE Lecture Notes.
Gigliola Staffilani

Evolution Equations. Clay Mathematics Proceedings.
Gigliola Staffilani

GRANT #DMS-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)

     

IN THE MEDIA

Gigliola: Da Boston dico grazie al prof del liceo -- Corriere Della Sera

The Grand Geometry of Nature -- Science for the Public Lecture Series

A Life of Unexpected Twists Takes Her From Farm to Math Department -- Boston.com

Quello Che Si Far per Amore? Della Matematica -- SIAM, Society for Industrial and Applied Mathematics

Gigliola Staffilani -- MaddMaths, MAtematica Divulgazione Didattica

     

PROGRAMS AND CONFERENCES ORGANIZED

DRP Network Conference, MIT, May 26-27, 2018. *New*

“Analysis and Beyond: Celebrating Jean Bourgain’s Work and Impact”, IAS May 21-24.

New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems.

Harmonic Analysis & Partial Differential Equations: Recent Developments & Future Directions - A conference in honor of C.E. Kenig