Gigliola Staffilani | Academic Influence

Gigliola Staffilani's AcademicInfluence.com Rankings

Gigliola Staffilani

Mathematics

#285

World Rank

#616

Historical Rank

#137

USA Rank

Harmonic Analysis

#4

World Rank

#5

Historical Rank

#2

USA Rank

Measure Theory

#350

World Rank

#524

Historical Rank

#150

USA Rank

mathematics Degrees

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Mathematics

Gigliola Staffilani's Degrees

PhD Mathematics University of Chicago

Why Is Gigliola Staffilani Influential?

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According to Wikipedia, Gigliola Staffilani is an Italian-American mathematician who works as the Abby Rockefeller Mauze Professor of Mathematics at the Massachusetts Institute of Technology. Her research concerns harmonic analysis and partial differential equations, including the Korteweg–de Vries equation and Schrödinger equation.

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Gigliola Staffilani's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$ (2001) (438)
Sharp global well-posedness for KdV and modified KdV on ℝ and (2003) (403)
Global well-posedness and scattering for the energy-critical nonlinear Schr\"odinger equation in R^3 (2004) (361)
Almost conservation laws and global rough solutions to a Nonlinear Schr (2002) (235)
Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation (2010) (226)
STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS (2002) (210)
Multilinear estimates for periodic KdV equations, and applications (2001) (202)
A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative (2001) (183)
Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3 (2003) (181)
Global Well-Posedness for Schrödinger Equations with Derivative (2001) (173)
On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions (2011) (161)
Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics (2008) (140)
INVARIANT WEIGHTED WIENER MEASURES AND ALMOST SURE GLOBAL WELL-POSEDNESS FOR THE PERIODIC DERIVATIVE NLS. (2010) (118)
On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations (1997) (113)
Bilinear estimates and applications to 2d NLS (2001) (108)
Global well-posedness for KdV in Sobolev spaces of negative index (2001) (101)
A new approach to study the Vlasov-Maxwell system (2001) (94)
Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1 (2006) (87)
On the global well-posedness of energy-critical Schr\"odinger equations in curved spaces (2010) (79)
Almost Sure Existence of Global Weak Solutions for Supercritical Navier-Stokes Equations (2012) (66)
GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗ (2001) (66)
Strichartz Estimates for the Water-Wave Problem with Surface Tension (2009) (59)
On the generalized Korteweg-de Vries-type equations (1997) (57)
Semilinear Schrödinger flows on hyperbolic spaces: scattering in H1 (2008) (55)
Scattering Theory for Radial Nonlinear Schrödinger Equations on Hyperbolic Space (2006) (53)
On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy (2012) (51)
Almost sure well-posedness for the periodic 3D quintic nonlinear Schr\"odinger equation below the energy space (2013) (51)
Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations (2011) (50)
On the global well-posedness of the one-dimensional Schrodinger map flow (2008) (49)
Quadratic forms for a $2$-D semilinear Schrödinger equation (1997) (48)
Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$ (2008) (47)
Global Well-Posedness for a periodic nonlinear Schr\"odinger equation in 1D and 2D (2006) (42)
The Cauchy problem for Schrodinger flows into Kahler manifolds (2005) (40)
Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm (2002) (37)
Global wellposedness for KdV below ${L^2}$ (1999) (37)
Symplectic nonsqueezing of the korteweg-de vries flow (2005) (37)
Global Well-Posedness for the $L^2$-critical nonlinear Schr\"odinger equation in higher dimensions (2006) (34)
Local well-posedness for dispersion-generalized Benjamin-Ono equations (2002) (33)
Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2 (2007) (32)
Randomization and the Gross–Pitaevskii Hierarchy (2013) (30)
Weakly turbulent solutions for the cubic defocusing nonlinear Schr\"odinger equation (2008) (21)
Global Well-Posedness and Polynomial Bounds for the Defocusing L 2-Critical Nonlinear Schrödinger Equation in ℝ (2008) (21)
Global flows with invariant measures for the inviscid modified SQG equations (2017) (20)
Low regularity solutions for the Kadomtsev-Petviashvili I equation (2002) (20)
Internal waves in sheared flows: Lower bound of the vorticity growth and propagation discontinuities in the parameter space. (2016) (18)
On a bilinear Strichartz estimate on irrational tori and some application (2016) (17)
Weighted Low-Regularity Solutions of the KP-I Initial Value Problem (2007) (16)
Pointwise Convergence of the Schrödinger Flow (2020) (16)
Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3 (2003) (15)
Semilinear Schr\"odinger Flows on Hyperbolic Spaces: Scattering in H^1 (2008) (14)
Local well-posedness for higher order nonlinear dispersive systems (1997) (14)
Local smoothing effects for the water-wave problem with surface tension (2008) (12)
Polynomial upper bounds for the instability of the Nonlinear Schr (2002) (12)
Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schr\"odinger equation in $\R$ (2007) (12)
A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation (2019) (10)
On solutions for the Kadomtsev-Petviashvili I equation (2001) (10)
On the wave turbulence theory for stochastic and random multidimensional KdV type equations (2021) (9)
The Surface Quasi-geostrophic Equation With Random Diffusion (2018) (9)
Energy transfer for solutions to the nonlinear Schr\"odinger equation on irrational tori (2021) (8)
2D-defocusing nonlinear Schrödinger equation with random data on irrational tori (2019) (8)
A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on R² (2015) (7)
Almost sure boundedness of iterates for derivative nonlinear wave equations (2017) (7)
Stability of the Cubic Nonlinear Schrodinger Equation on an Irrational Torus (2020) (7)
On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions (2012) (7)
Poisson commuting energies for a system of infinitely many bosons (2019) (7)
An infinite sequence of conserved quantities for the cubic Gross–Pitaevskii hierarchy on ℝ (2016) (6)
On the nonlinear Dysthe equation (2020) (6)
Smoothing effect for time-degenerate Schr\"odinger operators (2020) (6)
Low regularity stability of solitons for the KDV equation (2003) (6)
Regularity bounds on Zakharov system evolutions (2002) (5)
ABSOLUTE CONTINUITY OF GAUSSIAN MEASURES UNDER CERTAIN GAUGE TRANSFORMATIONS (2011) (5)
Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory (2021) (5)
Randomness and Nonlinear Evolution Equations (2019) (5)
KdV and Almost Conservation Laws (2002) (5)
A Semi-linear Shifted Wave Equation on the Hyperbolic Spaces with Application on a Quintic Wave Equation on ${\mathbb R}^2$ (2014) (4)
Large deviations principle for the cubic NLS equation (2021) (4)
The wave maps equation and Brownian paths (2021) (3)
Probabilistic well-posedness for 2D nonlinear wave equations with $Q_{\alpha \beta}$ null forms (2017) (3)
Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation. (2020) (3)
On the wave turbulence theory for a stochastic KdV type equation (2021) (3)
Pointwise Convergence of the Schr\"odinger Flow (2019) (3)
On the high–low method for NLS on the hyperbolic space (2020) (3)
Evolution equations : Clay Mathematics Institute Summer School evolution equations Eidgenössische Technische Hochschule, Zürich, Switzerland, June 23-July 18, 2008 (2013) (3)
Symplectic nonsqueezing of the KdV flow (2004) (2)
Notes on symplectic non-squeezing of the KdV flow (2005) (2)
Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori. (2018) (2)
Sharp Strichartz estimates for some variable coefficient Schrödinger operators on $ \mathbb{R}\times\mathbb{T}^2 $ (2021) (2)
Global solutions of aggregation equations and other flows with random diffusion (2021) (2)
THE WATER-WAVE PROBLEM WITH SURFACE TENSION (2009) (1)
Nonlinear Evolution Problems (2005) (1)
The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds (2009) (1)
Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition (2020) (1)
Remembering Jean Bourgain (1954–2018) (2021) (1)
PROBABILISTIC WELL-POSEDNESS FOR 2D NONLINEAR WAVE EQUATIONS WITH Qαβ NULL FORMS (2017) (1)
Perturbation Enstrophy Decay in Poiseuille and Couette Flows according to Synge's Method (2015) (1)
THE THEORY OF NONLINEAR SCHRÖDINGER (2009) (0)
Women's History Month (2013) (0)
Stability of Solitons for the KdV equation in H^s, 0 <= s< 1 (2003) (0)
Geometric And Functional Analysis LOW REGULARITY SOLUTIONS FOR THE KADOMTSEV – PETVIASHVILI I EQUATION (2002) (0)
Deterministic Dynamics and Randomness in PDE (2023) (0)
NEW CHALLENGES IN PDE: DETERMINISTIC DYNAMICS AND RANDOMNESS IN HIGH AND INFINITE DIMENSIONAL SYSTEMS MSRI Program August 17–December 18, 2015 (2015) (0)
Alice Silverberg Through the Cryptographer ’ s Looking-Glass , and What Alice Found (2016) (0)
18.152 Introduction to Partial Differential Equations, Fall 2004 (2004) (0)
BOUNDEDNESS OF ITERATES FOR DERIVATIVE NONLINEAR WAVE EQUATIONS (2018) (0)
1 Periodic Schroödinger equations in Hamiltonian form (2012) (0)
Errata to “Low Regularity Solutions for the Kadomtsev–Petviashvili I Equation”, GAFA, Geom. Funct. Anal. 13 (2003), 737-794 (2007) (0)
SYMPLECTIC NON-SQUEEZING OF THE KDV FLOW (2004) (0)
Global flows with invariant measures for the inviscid modified SQG equations (2017) (0)
Correction to “Global Well-Posedness and Polynomial Bounds for the Defocusing L 2-Critical Nonlinear Schrödinger Equation in ℝ” (2010) (0)
REGULARITY BOUNDS ON ZAKHAROV SYSTEM (0)
Small internal waves in sheared flows: lower bound for the vorticity transient growth and propagation bound in the parameter space (2016) (0)
Randomness and Nonlinear Evolution Equations (2019) (0)
On decaying properties of nonlinear Schr\"odinger equations (2022) (0)
Lower bound for the enstrophy transient growth of a set of traveling waves propagating in fluids moving between parallel planes (2016) (0)
Randomization and the Gross–Pitaevskii Hierarchy (2015) (0)
Linear waves in sheared flows. Lower bound of the vorticity growth and propagation discontinuities in the parameters space. (2018) (0)
On the wave turbulence theory for the beam wave equation (2023) (0)
DISPERSIVE EQUATIONS AND THEIR ROLE BEYOND PDE (2012) (0)
Fe b 20 06 GLOBAL WELL-POSEDNESS FOR A PERIODIC NONLINEAR SCHRÖDINGER EQUATION IN 1 D AND 2 D (2019) (0)
2D-defocusing nonlinear Schrödinger equation with random data on irrational tori (2020) (0)
Probabilistic preservation of regularity for periodic nonlinear Schrödinger equations (2015) (0)
A rigorous derivation of the Hamiltonian structure for the Vlasov equation (2022) (0)
Book Review: Global solutions of nonlinear Schrödinger equations (2002) (0)

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