J. Colliander

4.9k citations

48 papers · 2.3k indexed · 2 hit papers · h-index 24

Impact in

Mathematical Physics top 0.1%
- Advanced Mathematical Physics Problems
- advanced mathematical theories
- Spectral Theory in Mathematical Physics
Statistical and Nonlinear Physics top 0.5%
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems

Papers in ⓘ

Mathematical Physics 40
- Advanced Mathematical Physics Problems 40
- Spectral Theory in Mathematical Physics 5
- advanced mathematical theories 4
Applied Mathematics 19
- Navier-Stokes equation solutions 10
- Mathematical Analysis and Transform Methods 5

Co-authors: Hideo Takaoka (13 shared papers)M. Keel (12 shared papers)Gigliola Staffilani (16 shared papers)Terence Tao (10 shared papers)T. Tao (2 shared papers)Michael Christ (2 shared papers)Carlos E. Kenig (6 shared papers)Jean Bourgain (1 shared paper)
Journals: Journal of Hyperbolic Differential Equations (4 papers)Communications on Pure &amp Applied Analysis (4 papers)Discrete and Continuous Dynamical Systems (3 papers)Mathematical Research Letters (3 papers)International Mathematics Research Notices (3 papers)
Partner nations: United States Canada Japan

In The Last Decade

J. Colliander

44 papers receiving 2.0k citations

Hit Papers

align trajectories log scale

Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ³ 2008 · 232 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2008 Annals of Mathematics
2003 Journal of the American Mathematical Society

Peers

Countries citing papers authored by J. Colliander

Since Specialization

Citations

This map shows the geographic impact of J. Colliander's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by J. Colliander with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites J. Colliander more than expected).

Fields of papers citing papers by J. Colliander

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. Colliander. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by J. Colliander. The network helps show where J. Colliander may publish in the future.

Co-authors

The 25 scholars most cited alongside J. Colliander, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with J. Colliander Line = papers co-authored together J. Colliander links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 48 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋 Journal of the American Mathematical Society ·J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terence Tao Hit paper breakdown →	2003	375
2	Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ³ Annals of Mathematics ·J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terence Tao Hit paper breakdown →	2008	232
3	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations American Journal of Mathematics ·Michael Christ, J. Colliander, T. Tao	2003	227
4	Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation Inventiones mathematicae ·J. Colliander, M. Keel, G. Staffilani, Hideo Takaoka, T. Tao	2010	142
5	Multilinear estimates for periodic KdV equations, and applications Journal of Functional Analysis ·J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terence Tao	2003	122
6	Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ³ Communications on Pure and Applied Mathematics ·J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terence Tao	2004	118
7	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation Mathematical Research Letters ·J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terence Tao	2002	118
8	THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE Communications in Partial Differential Equations ·J. Colliander, Carlos E. Kenig	2002	110
9	A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative SIAM Journal on Mathematical Analysis ·J. Colliander, M. Keel, G. Staffilani, Hideo Takaoka, Terence Tao	2002	106
10	International Mathematics Research Notices ·Jean Bourgain, J. Colliander	1996	86
11	Bilinear estimates and applications to 2d NLS Transactions of the American Mathematical Society ·J. Colliander, Jean-Marc Delort, Carlos E. Kenig, Gigliola Staffilani	2001	60
12	Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L2(T) Duke Mathematical Journal ·J. Colliander, Tadahiro Oh	2012	58
13	Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems Transactions of the American Mathematical Society ·J. Colliander, Justin Holmer, Nikolaos Tzirakis	2008	51
14	International Mathematics Research Notices ·J. Colliander, Robert L. Jerrard	1998	42
15	Entire and Meromorphic Functions Universitext ·Lee A. Rubel, J. Colliander	1996	41
16	Tensor products and correlation estimates with applications to nonlinear Schrödinger equations Communications on Pure and Applied Mathematics ·J. Colliander, Nikolaos Tzirakis, Manoussos G. Grillakis	2009	39
17	Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$ Discrete and Continuous Dynamical Systems ·J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terry Tao	2008	35
18	A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order Journal of Functional Analysis ·Michael Christ, J. Colliander, Terence Tao	2007	32
19	Global wellposedness for KdV below ${L^2}$ Mathematical Research Letters ·J. Colliander, Gigliola Staffilani, Hideo Takaoka	1999	29
20	A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms Journal d Analyse Mathématique ·J. Colliander, Soonsik Kwon, Tadahiro Oh	2012	28

About J. Colliander

J. Colliander is a scholar working on Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics, Numerical Analysis and Control and Systems Engineering, having authored 48 papers that have together received 2.3k indexed citations. Recurring topics across this work include Advanced Mathematical Physics Problems (40 papers), Nonlinear Waves and Solitons (17 papers), Stability and Controllability of Differential Equations (11 papers), Navier-Stokes equation solutions (10 papers), Spectral Theory in Mathematical Physics (5 papers), Mathematical Analysis and Transform Methods (5 papers), Nonlinear Photonic Systems (4 papers) and advanced mathematical theories (4 papers). The work is most often cited by research in Mathematical Physics (2.2k citations), Statistical and Nonlinear Physics (1.3k citations), Applied Mathematics (993 citations), Numerical Analysis (128 citations) and Control and Systems Engineering (460 citations). J. Colliander has collaborated with scholars based in United States, Canada and Japan. Frequent co-authors include Hideo Takaoka, M. Keel, Gigliola Staffilani, Terence Tao, T. Tao, Michael Christ, Carlos E. Kenig, Jean Bourgain, Tadahiro Oh and Nikolaos Tzirakis. Their work appears in journals such as Journal of Hyperbolic Differential Equations, Communications on Pure & Applied Analysis, Discrete and Continuous Dynamical Systems, Mathematical Research Letters and International Mathematics Research Notices.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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