James Colliander

Q: What Schools Are Affiliated With James Colliander

James Colliander is affiliated with the following schools: University of British Columbia, Princeton University, University of Toronto, University of Illinois Urbana-Champaign

James Colliander's AcademicInfluence.com Rankings

James Colliander

Mathematics

#251

World Rank

#544

Historical Rank

#122

USA Rank

Measure Theory

#253

World Rank

#397

Historical Rank

#114

USA Rank

mathematics Degrees

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Mathematics

James Colliander's Degrees

PhD Mathematics Princeton University

Why Is James Colliander Influential?

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According to Wikipedia, James Ellis Colliander is an American-Canadian mathematician. He is currently Professor of Mathematics at University of British Columbia and served as Director of the Pacific Institute for the Mathematical Sciences during 2016-2021. He was born in El Paso, Texas, and lived there until age 8 and then moved to Hastings, Minnesota. He graduated from Macalester College in 1989. He worked for two years at the United States Naval Research Laboratory on fiber optic sensors and then went to graduate school to study mathematics. He received his PhD from the University of Illinois at Urbana–Champaign in 1997 and was advised by Jean Bourgain. Colliander was a postdoctoral fellow at the University of California, Berkeley and spent semesters at the University of Chicago, the Institute for Advanced Study and the Mathematical Sciences Research Institute.

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James Colliander'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)
Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations (2002) (418)
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)
Ill-posedness for nonlinear Schrodinger and wave equations (2003) (215)
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)
THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE (2001) (151)
Almost sure well-posedness of the cubic nonlinear Schr\ (2009) (143)
On wellposedness of the Zakharov system (1996) (135)
Bilinear estimates and applications to 2d NLS (2001) (108)
Tensor products and correlation estimates with applications to nonlinear Schrödinger equations (2008) (106)
Global well-posedness for KdV in Sobolev spaces of negative index (2001) (101)
Vortex dynamics for the Ginzburg-Landau-Schrodinger equation (1997) (89)
Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schr\ (2006) (82)
A priori bounds and weak solutions for the nonlinear Schr (2006) (68)
GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗ (2001) (66)
Entire and Meromorphic Functions (1996) (64)
Improved interaction Morawetz inequalities for the cubic nonlinear Schr (2007) (64)
Energy Critical NLS in two space dimensions (2008) (58)
Ginzburg-landau vortices: weak stability and schrödinger equation dynamics (1999) (52)
Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$ (2008) (47)
A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms (2010) (45)
Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm (2002) (37)
Symplectic nonsqueezing of the korteweg-de vries flow (2005) (37)
Global wellposedness for KdV below ${L^2}$ (1999) (37)
Instability of the periodic nonlinear Schrodinger equation (2003) (36)
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)
Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2} (2008) (32)
Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1 (2004) (27)
Wellposedness for Zakharov Systems with Generalized Nonlinearity (1998) (25)
Global existence and scattering for rough solutions to generalized nonlinear Schr\"odinger equations on $\R$ (2006) (23)
Weakly turbulent solutions for the cubic defocusing nonlinear Schr\"odinger equation (2008) (21)
Low regularity solutions for the Kadomtsev-Petviashvili I equation (2002) (20)
Weighted Low-Regularity Solutions of the KP-I Initial Value Problem (2007) (16)
Interaction Morawetz estimate for the magnetic Schrödinger equation and applications (2011) (15)
Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3 (2003) (15)
Polynomial upper bounds for the instability of the Nonlinear Schr (2002) (12)
Rough blowup solutions to the L2 critical NLS (2009) (12)
Numerical simulations of the energy- supercritical Nonlinear Schr\ (2009) (10)
Globalizing estimates for the periodic KPI equation (1996) (10)
On solutions for the Kadomtsev-Petviashvili I equation (2001) (10)
Thermal noise spectrum of a fiber-optic magnetostrictive transducer. (1991) (9)
Global well-posedness in Sobolev space implies global existence for weighted L^2 initial data for L^2 -critical NLS (2005) (9)
The Initial Value Problem for the Zakharov System (1997) (9)
Behavior of a Model Dynamical System with Applications to Weak Turbulence (2012) (7)
Science Storms the Cloud (2021) (6)
A Fourier Series Method (1996) (5)
Regularity bounds on Zakharov system evolutions (2002) (5)
The Riemann-Stieltjes Integral (1996) (4)
Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $\R^3$ (2013) (3)
Remarks on global a priori estimates for the nonlinear Schr (2009) (3)
MASS CONCENTRATION WINDOW SIZE AND STRICHARTZ NORM DIVERGENCE RATE FOR THE L2-CRITICAL NONLINEAR SHRÖDINGER EQUATION (2007) (3)
Notes on symplectic non-squeezing of the KdV flow (2005) (2)
Symplectic nonsqueezing of the KdV flow (2004) (2)
A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms (2012) (1)
ON BLOWUP SOLUTIONS OF NLS WITH LOW REGULARITY INITIAL DATA (2005) (1)
The Maximum Term of an Entire Function (1996) (1)
How open data and interdisciplinary collaboration improve our understanding of space weather: A risk and resiliency perspective (2022) (1)
$L^2$ blowup solutions of cubic NLS on $\R^2$ concentrate a fixed amount of mass (2004) (1)
REGULARITY BOUNDS ON ZAKHAROV SYSTEM (0)
Integer-Valued Entire Functions (1996) (0)
Science Storms the Cloud (2021) (0)
Elementary Properties of T(r, f) (1996) (0)
Science Storms the Cloud (2021) (0)
The Miles-Rubel-Taylor Theorem on Quotient Representations of Meromorphic Functions (1996) (0)
Science storms the cloud (2021) (0)
A remark on the concentration phenomenon for the L^2-critical nonlinear Schrodinger equations (2006) (0)
Analysis of nonlinear wave equations and applications in engineering (2010) (0)
Science Storms the Cloud (0)
A Lemma of Borel and Some Applications (1996) (0)
Identities of Exponential Functions (1996) (0)
The Pólya Representation Theorem (1996) (0)
A Proof of the Second Fundamental Theorem (1996) (0)
Weak Turbulence for Periodic NLS (2009) (0)
Cubic Derivative Nonlinear Schrodinger has Blowup Solutions (2007) (0)
The Poisson-Jensen Formula (1996) (0)
“Two Constant” Theorems and the Phragmén-Lindelöf Theorems (1996) (0)
Jensen’s Theorem and Applications (1996) (0)
Recent Progress on the Nonlinear Schrodinger Evolution Problem (Harmonic Analysis and Nonlinear Partial Differential Equations) (2004) (0)
Refinement of the Strichartz estimates and the L^2 mass concentration for 1-d quintic nonlinear Schrödinger equation (2004) (0)
Science Storms the Cloud (2021) (0)
Concentrate a Fixed Amount of Mass (2004) (0)
Picard’s Theorem and the Second Fundamental Theorem (1996) (0)
The First Fundamental Theorem of Nevanlinna Theory (1996) (0)
MATH 279: NONLINEAR WAVE EQUATIONS (2002) (0)
Formal Power Series (1996) (0)
THE THEORY OF NONLINEAR SCHRÖDINGER (2009) (0)
What is the energy critical NLS equation on R 2 ? (2008) (0)
Errata to “Low Regularity Solutions for the Kadomtsev–Petviashvili I Equation”, GAFA, Geom. Funct. Anal. 13 (2003), 737-794 (2007) (0)
Optimal homotopies of curves on surfaces (2014) (0)
The First-Order Theory of the Ring of All Entire Functions (1996) (0)
The Cartan Formulation of the Characteristic (1996) (0)
Applications of T(r) (1996) (0)
Relation Between the Growth of an Entire Function and the Size of Its Taylor Coefficients (1996) (0)

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