Benjamin Dodson

916 total citations
28 papers, 371 citations indexed

About

Benjamin Dodson is a scholar working on Mathematical Physics, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Benjamin Dodson has authored 28 papers receiving a total of 371 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 11 papers in Applied Mathematics and 10 papers in Statistical and Nonlinear Physics. Recurrent topics in Benjamin Dodson's work include Advanced Mathematical Physics Problems (26 papers), Nonlinear Waves and Solitons (9 papers) and Nonlinear Photonic Systems (7 papers). Benjamin Dodson is often cited by papers focused on Advanced Mathematical Physics Problems (26 papers), Nonlinear Waves and Solitons (9 papers) and Nonlinear Photonic Systems (7 papers). Benjamin Dodson collaborates with scholars based in United States, South Korea and China. Benjamin Dodson's co-authors include Jason Murphy, Andrew Lawrie, Bruce W. Carney, Jae-Woo Lee, Changxing Miao, Jiqiang Zheng, Avy Soffer and Thomas Spencer and has published in prestigious journals such as The Astronomical Journal, Archive for Rational Mechanics and Analysis and Journal of Statistical Physics.

In The Last Decade

Benjamin Dodson

24 papers receiving 343 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Benjamin Dodson United States 10 326 166 121 49 35 28 371
Roland Donninger Austria 10 240 0.7× 89 0.5× 78 0.6× 62 1.3× 73 2.1× 23 283
Achenef Tesfahun Norway 11 256 0.8× 106 0.6× 105 0.9× 48 1.0× 8 0.2× 31 278
Sebastian Herr Germany 12 511 1.6× 256 1.5× 259 2.1× 100 2.0× 5 0.1× 30 542
Damiano Foschi Italy 9 365 1.1× 66 0.4× 237 2.0× 78 1.6× 5 0.1× 13 385
Stefan Le Coz France 11 253 0.8× 173 1.0× 87 0.7× 53 1.1× 3 0.1× 18 307
Kimitoshi Tsutaya Japan 10 306 0.9× 164 1.0× 118 1.0× 101 2.1× 8 0.2× 33 335
誉志雄 堤 2 262 0.8× 107 0.6× 101 0.8× 66 1.3× 4 0.1× 2 267
Pin Yu China 8 163 0.5× 32 0.2× 139 1.1× 40 0.8× 34 1.0× 14 191
Ingo Witt Germany 9 191 0.6× 71 0.4× 183 1.5× 31 0.6× 9 0.3× 33 234
Milena Radnović Serbia 11 119 0.4× 225 1.4× 27 0.2× 11 0.2× 22 0.6× 29 292

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-authorship network of co-authors of Benjamin Dodson

This figure shows the co-authorship network connecting the top 25 collaborators of Benjamin Dodson. A scholar is included among the top collaborators of Benjamin Dodson based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Benjamin Dodson. Benjamin Dodson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
2.
Dodson, Benjamin. (2024). Global well-posedness for the radial, defocusing, nonlinear wave equation for 3 < p < 5. American Journal of Mathematics. 146(1). 1–46.
3.
Dodson, Benjamin. (2023). A Liouville theorem for the Chern–Simons–Schrödinger equation. Discrete and Continuous Dynamical Systems. 44(2). 447–461.
4.
Dodson, Benjamin. (2023). Sharp Global Well-Posedness and Scattering for the Radial Conformal Nonlinear Wave Equation. International Mathematics Research Notices. 2024(9). 7748–7775. 1 indexed citations
5.
Dodson, Benjamin. (2022). Scattering for the Defocusing, Nonlinear Schrödinger Equation With Initial Data in a Critical Space. International Mathematics Research Notices. 2023(23). 19932–19962. 1 indexed citations
6.
Dodson, Benjamin, Avy Soffer, & Thomas Spencer. (2021). Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in L p-based Sobolev spaces. Journal of Mathematical Physics. 62(7). 5 indexed citations
7.
Dodson, Benjamin. (2021). The L2 sequential convergence of a solution to the mass-critical NLS above the ground state. Nonlinear Analysis. 215. 112612–112612. 2 indexed citations
8.
Dodson, Benjamin, Avy Soffer, & Thomas Spencer. (2020). The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures. Journal of Statistical Physics. 180(1-6). 910–934. 11 indexed citations
9.
Dodson, Benjamin. (2019). Defocusing Nonlinear Schrödinger Equations. Cambridge University Press eBooks. 13 indexed citations
10.
11.
Dodson, Benjamin. (2019). Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4. Annales Scientifiques de l École Normale Supérieure. 52(1). 139–180. 22 indexed citations
12.
Dodson, Benjamin. (2018). Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data. Communications in Partial Differential Equations. 43(10). 1413–1455. 2 indexed citations
13.
14.
Dodson, Benjamin & Jason Murphy. (2017). A new proof of scattering below the ground state for the 3d radial focusing cubic NLS. Proceedings of the American Mathematical Society. 145(11). 4859–4867. 64 indexed citations
15.
Dodson, Benjamin, Changxing Miao, Jason Murphy, & Jiqiang Zheng. (2016). The defocusing quintic NLS in four space dimensions. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 34(3). 759–787. 18 indexed citations
16.
Dodson, Benjamin. (2016). Global well-posedness and scattering for the defocusing, L 2 -critical, nonlinear Schrödinger equation when d = 1. American Journal of Mathematics. 138(2). 531–569. 51 indexed citations
17.
Dodson, Benjamin. (2012). Global well-posedness and scattering for the mass-critical NLS. Journées Équations aux dérivées partielles. 1–11. 1 indexed citations
18.
Dodson, Benjamin. (2011). Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$. Journal of the American Mathematical Society. 25(2). 429–463. 80 indexed citations
19.
Dodson, Benjamin. (2011). Global Well-posedness for the Defocusing, Quintic Nonlinear Schrödinger Equation in One Dimension for Low Regularity Data. International Mathematics Research Notices. 2012(4). 870–893. 2 indexed citations
20.
Carney, Bruce W., Jae-Woo Lee, & Benjamin Dodson. (2005). Infrared Photometry of NGC 6791. The Astronomical Journal. 129(2). 656–668. 35 indexed citations

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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