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Gigliola Staffilani

Gigliola Staffilani

D-Index & Metrics

Mathematics

D-Index
41
Citations
6956
World Ranking
1911
National Ranking
815

Research.com Recognitions

  • 2017 - Fellow of John Simon Guggenheim Memorial Foundation
  • 2014 - Fellow of the American Academy of Arts and Sciences
  • 2013 - Fellow of the American Mathematical Society
  • 2000 - Fellow of Alfred P. Sloan Foundation

Overview

Gigliola Staffilani is affiliated with the Massachusetts Institute of Technology (MIT) in the United States and has contributed extensively to the fields of Mathematics and Physics and Astronomy. Their research encompasses numerous topics centered around advanced mathematical physics and nonlinear systems.

Their main fields of study include:

  • Mathematics
  • Physics and Astronomy

Within these, Staffilani's work covers specialized subfields such as:

  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Atomic and Molecular Physics, and Optics
  • Finance

The core topics addressed in their publications involve:

  • Advanced Mathematical Physics Problems
  • Nonlinear Photonic Systems
  • Nonlinear Waves and Solitons
  • Cold Atom Physics and Bose-Einstein Condensates
  • Navier-Stokes Equation Solutions
  • Stochastic Processes and Financial Applications
  • Mathematical Analysis and Transform Methods

Staffilani has collaborated frequently with several scholars, notably:

  • Matthew Rosenzweig
  • Andrea R. Nahmod
  • Nataša Pavlović
  • Jonas Lührmann
  • Minh-Binh Tran

Their recent papers reflect a focus on nonlinear partial differential equations and related mathematical physics problems. Selected recent publications include:

  • "Pointwise Convergence of the Schrödinger Flow," 2020, International Mathematics Research Notices
  • "Stability of the Cubic Nonlinear Schrodinger Equation on an Irrational Torus," 2020, SIAM Journal on Mathematical Analysis
  • "Global solutions of aggregation equations and other flows with random diffusion," 2022, Probability Theory and Related Fields
  • "Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory," 2022, Physica D Nonlinear Phenomena
  • "On Decaying Properties of Nonlinear Schrödinger Equations," 2024, SIAM Journal on Mathematical Analysis

Staffilani frequently publishes in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • International Mathematics Research Notices
  • Advances in Mathematics
  • Probability Theory and Related Fields

Over the course of their career, Staffilani has received several fellowships recognizing their contributions to mathematics and science. These include:

  • Fellow of the John Simon Guggenheim Memorial Foundation, 2017
  • Fellow of the American Academy of Arts and Sciences, 2014
  • Fellow of the American Mathematical Society, 2013
  • Fellow of the Alfred P. Sloan Foundation, 2000

Best Publications

  • Sharp global well-posedness for KdV and modified KdV on ℝ and

    J. Colliander;M. Keel;G. Staffilani;G. Staffilani;H. Takaoka;H. Takaoka

  • Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3

    James Colliander;Markus Keel;Gigliola Staffilani;Hideo Takaoka

  • Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation

    J. Colliander;M. Keel;G. Staffilani;H. Takaoka

  • Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

    James Colliander;Markus Keel;Gigiola Staffilani;Hideo Takaoka

  • STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS

    Gigliola Staffilani;Daniel Tataru

  • GLOBAL EXISTENCE AND SCATTERING FOR ROUGH SOLUTIONS OF A NONLINEAR SCHR ¨ ODINGER EQUATION ON R 3

    J. Colliander;M. Keel;G. Staffilani;H. Takaoka

  • A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

    James E. Colliander;Markus Keel;Gigliola Staffilani;Hideo Takaoka

  • On the continuum limit for discrete NLS with long-range lattice interactions

    Kay Kirkpatrick;Enno Lenzmann;Gigliola Staffilani

  • Global well-posedness for Schrödinger equations with derivative

    James E. Colliander;Markus Keel;Gigliola Staffilani;Hideo Takaoka

  • Multilinear estimates for periodic KdV equations, and applications

    J. Colliander;Markus Keel;G. Staffilani;H. Takaoka

  • Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics

    Kay Kirkpatrick;Benjamin Schlein;Gigliola Staffilani

  • On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations

    Gigliola Staffilani

  • Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS

    Andrea R. Nahmod;Andrea R. Nahmod;Tadahiro Oh;Luc Rey-Bellet;Gigliola Staffilani;Gigliola Staffilani

  • GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗

    J. Colliander;M. Keel;G. Staffilani;H. Takaoka

  • Global well-posedness for KdV in Sobolev spaces of negative index

    James E. Colliander;Markus Keel;Gigliola Staffilani;Hideo Takaoka

  • A new approach to study the Vlasov-Maxwell system

    Sergiu Klainerman;Gigliola Staffilani

  • Bilinear estimates and applications to 2d NLS

    J. E. Colliander;J.-M. Delort;C. E. Kenig;G. Staffilani

  • On the generalized Korteweg-de Vries-type equations

    Gigliola Staffilani

  • Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$

    J. Colliander;M. Keel;Gigliola Staffilani;H. Takaoka

  • Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$

    J. Colliander;M. Keel;G. Staffilani;H. Takaoka

  • Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3

    J. Colliander;M. Keel;G. Staffilani;H. Takaoka

Frequent Co-Authors

James Colliander
James Colliander University of British Columbia
Terence Tao
Terence Tao University of California, Los Angeles
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Alexandru D. Ionescu
Alexandru D. Ionescu Princeton University
Igor Rodnianski
Igor Rodnianski Princeton University
Benjamin Schlein
Benjamin Schlein University of Zurich
Dusa McDuff
Dusa McDuff Columbia University
Ingrid Daubechies
Ingrid Daubechies Duke University
Maria Chudnovsky
Maria Chudnovsky Princeton University

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