Benjamin Dodson

916 citations

28 papers · 371 indexed · h-index 10

Impact in

Mathematical Physics top 2%
- Advanced Mathematical Physics Problems
- Spectral Theory in Mathematical Physics
- advanced mathematical theories
Statistical and Nonlinear Physics top 5%
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems

Papers in ⓘ

Mathematical Physics 26
- Advanced Mathematical Physics Problems 26
- advanced mathematical theories 1
Applied Mathematics 11
- Navier-Stokes equation solutions 6
- Mathematical Analysis and Transform Methods 5
- Advanced Harmonic Analysis Research 2

Co-authors: Jason Murphy (2 shared papers)Andrew Lawrie (2 shared papers)Jae-Woo Lee (1 shared paper)Bruce W. Carney (1 shared paper)Changxing Miao (1 shared paper)Jiqiang Zheng (1 shared paper)Avy Soffer (2 shared papers)Thomas Spencer (2 shared papers)
Journals: International Mathematics Research Notices (4 papers)Analysis & PDE (3 papers)American Journal of Mathematics (2 papers)Discrete and Continuous Dynamical Systems (2 papers)Journal of Statistical Physics (1 paper)
Partner nations: United States South Korea France

In The Last Decade

Benjamin Dodson

24 papers receiving 343 citations

Peers

Countries citing papers authored by Benjamin Dodson

Since Specialization

Citations

This map shows the geographic impact of Benjamin Dodson'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 Benjamin Dodson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Benjamin Dodson more than expected).

Fields of papers citing papers by Benjamin Dodson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Benjamin Dodson. 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 Benjamin Dodson. The network helps show where Benjamin Dodson may publish in the future.

Co-authors

The 8 scholars most cited alongside Benjamin Dodson, 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 Benjamin Dodson Line = papers co-authored together Benjamin Dodson links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

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#	Work
1	Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$ Journal of the American Mathematical Society ·Benjamin Dodson	2011	80
2	A new proof of scattering below the ground state for the 3d radial focusing cubic NLS Proceedings of the American Mathematical Society ·Benjamin Dodson, Jason Murphy	2017	64
3	Global well-posedness and scattering for the defocusing, L 2 -critical, nonlinear Schrödinger equation when d = 1 American Journal of Mathematics ·Benjamin Dodson	2016	51
4	Infrared Photometry of NGC 6791 The Astronomical Journal ·Bruce W. Carney, Jae-Woo Lee, Benjamin Dodson	2005	35
5	Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4 Annales Scientifiques de l École Normale Supérieure ·Benjamin Dodson	2019	22
6	Scattering for the radial 3D cubic wave equation Analysis & PDE ·Benjamin Dodson, Andrew Lawrie	2015	19
7	The defocusing quintic NLS in four space dimensions Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Benjamin Dodson, Changxing Miao, Jason Murphy, Jiqiang Zheng	2016	18
8	Defocusing Nonlinear Schrödinger Equations Cambridge University Press eBooks ·Benjamin Dodson	2019	13
9	The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures Journal of Statistical Physics ·Benjamin Dodson, Avy Soffer, Thomas Spencer	2020	11
10	Scattering for Radial, Semi-Linear, Super-Critical Wave Equations with Bounded Critical Norm Archive for Rational Mechanics and Analysis ·Benjamin Dodson, Andrew Lawrie	2015	11
11	Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space Analysis & PDE ·Benjamin Dodson	2018	7
12	Improved almost Morawetz estimates for the cubic nonlinear Schrödinger equation Communications on Pure &amp Applied Analysis ·Benjamin Dodson	2011	6
13	Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in L p-based Sobolev spaces Journal of Mathematical Physics ·Benjamin Dodson, Avy Soffer, Thomas Spencer	2021	5
14	A Determination of the Blowup Solutions to the Focusing NLS with Mass Equal to the Mass of the Soliton Benjamin Dodson	2022	5
15	Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition Discrete and Continuous Dynamical Systems ·Benjamin Dodson	2012	5
16	Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space Duke Mathematical Journal ·Benjamin Dodson	2021	4
17	Global well-posedness and scattering for nonlinear Schrödinger equations with algebraic nonlinearity when $d = 2,3$ and $u_0$ is radial Benjamin Dodson	2019	3
18	Global Well-Posedness for the Defocusing, Cubic, Nonlinear Wave Equation in Three Dimensions for Radial Initial Data in .H s × .H s-1, s> 1/2 International Mathematics Research Notices ·Benjamin Dodson	2018	3
19	Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data Communications in Partial Differential Equations ·Benjamin Dodson	2018	2
20	The L2 sequential convergence of a solution to the mass-critical NLS above the ground state Nonlinear Analysis ·Benjamin Dodson	2021	2

About Benjamin Dodson

Benjamin Dodson is a scholar working on Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics, Nuclear and High Energy Physics and Astronomy and Astrophysics, having authored 28 papers that have together received 371 indexed citations. Recurring topics across this work include Advanced Mathematical Physics Problems (26 papers), Nonlinear Waves and Solitons (9 papers), Nonlinear Photonic Systems (7 papers), Navier-Stokes equation solutions (6 papers), Mathematical Analysis and Transform Methods (5 papers), Black Holes and Theoretical Physics (3 papers), Advanced Harmonic Analysis Research (2 papers) and advanced mathematical theories (1 paper). The work is most often cited by research in Mathematical Physics (326 citations), Statistical and Nonlinear Physics (166 citations), Applied Mathematics (121 citations), Instrumentation (21 citations) and Nuclear and High Energy Physics (30 citations). Benjamin Dodson has collaborated with scholars based in United States, South Korea and France. Frequent co-authors include Jason Murphy, Andrew Lawrie, Jae-Woo Lee, Bruce W. Carney, Changxing Miao, Jiqiang Zheng, Avy Soffer and Thomas Spencer. Their work appears in journals such as International Mathematics Research Notices, Analysis & PDE, American Journal of Mathematics, Discrete and Continuous Dynamical Systems and Journal of Statistical Physics.

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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