Mark A. Walton

781 total citations
43 papers, 477 citations indexed

About

Mark A. Walton is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Algebra and Number Theory. According to data from OpenAlex, Mark A. Walton has authored 43 papers receiving a total of 477 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Geometry and Topology, 24 papers in Statistical and Nonlinear Physics and 15 papers in Algebra and Number Theory. Recurrent topics in Mark A. Walton's work include Algebraic structures and combinatorial models (26 papers), Advanced Topics in Algebra (15 papers) and Nonlinear Waves and Solitons (12 papers). Mark A. Walton is often cited by papers focused on Algebraic structures and combinatorial models (26 papers), Advanced Topics in Algebra (15 papers) and Nonlinear Waves and Solitons (12 papers). Mark A. Walton collaborates with scholars based in Canada, United States and Russia. Mark A. Walton's co-authors include Pierre Mathieu, C. S. Lam, Jian‐Ge Zhou, Terry Gannon, Changrim Ahn, Saurya Das, Jason Hancock, Jørgen Rasmussen, R. M. Lees and J. O. Henningsen and has published in prestigious journals such as Nuclear Physics B, Physics Letters B and Communications in Mathematical Physics.

In The Last Decade

Mark A. Walton

42 papers receiving 457 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mark A. Walton Canada 14 292 218 186 134 97 43 477
Shi-shyr Roan Taiwan 10 362 1.2× 163 0.7× 167 0.9× 153 1.1× 158 1.6× 27 502
Terry Gannon Canada 12 358 1.2× 155 0.7× 153 0.8× 170 1.3× 202 2.1× 43 476
Tomoki Nakanishi Japan 16 480 1.6× 309 1.4× 165 0.9× 264 2.0× 120 1.2× 39 606
Omar Foda Australia 12 253 0.9× 113 0.5× 143 0.8× 80 0.6× 85 0.9× 43 396
Kei Miki Japan 13 480 1.6× 299 1.4× 157 0.8× 232 1.7× 104 1.1× 23 570
Jun’ichi Shiraishi Japan 11 225 0.8× 220 1.0× 126 0.7× 121 0.9× 39 0.4× 31 416
Č. Burdík Czechia 11 134 0.5× 196 0.9× 212 1.1× 103 0.8× 85 0.9× 60 422
S. Pakuliak Russia 15 515 1.8× 417 1.9× 239 1.3× 142 1.1× 81 0.8× 64 612
Jørgen Rasmussen Australia 15 555 1.9× 237 1.1× 266 1.4× 253 1.9× 234 2.4× 59 712
Zengo Tsuboi Japan 14 424 1.5× 334 1.5× 185 1.0× 200 1.5× 43 0.4× 35 529

Countries citing papers authored by Mark A. Walton

Since Specialization
Citations

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

Fields of papers citing papers by Mark A. Walton

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark A. Walton. 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 Mark A. Walton. The network helps show where Mark A. Walton may publish in the future.

Co-authorship network of co-authors of Mark A. Walton

This figure shows the co-authorship network connecting the top 25 collaborators of Mark A. Walton. A scholar is included among the top collaborators of Mark A. Walton 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 Mark A. Walton. Mark A. Walton 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.
Cance, Jessica Duncan, E. T. Adams, Elizabeth J. D’Amico, et al.. (2023). Leveraging the Full Continuum of Care to Prevent Opioid Use Disorder. Prevention Science. 24(S1). 30–39. 6 indexed citations
2.
Das, Saurya, et al.. (2016). Gravity and non-locality. arXiv (Cornell University). 1 indexed citations
3.
Mathieu, Pierre & Mark A. Walton. (2013). Fractional-Level Kac-Moody Algebras and Nonunitary Coset Conformal Theories. Progress of Theoretical Physics Supplement. 102(0). 229–254. 4 indexed citations
4.
Walton, Mark A.. (2013). Hopping in the Phase Model to a Non-Commutative Verlinde Formula for Affine Fusion. Journal of Physics Conference Series. 474. 12033–12033. 1 indexed citations
5.
Walton, Mark A., et al.. (2012). Rational conformal field theory and matrix level for strings on a torus. arXiv (Cornell University).
6.
Walton, Mark A.. (2012). On Affine Fusion and the Phase Model. Symmetry Integrability and Geometry Methods and Applications. 6 indexed citations
7.
Walton, Mark A., et al.. (2010). On Robin boundary conditions and the Morse potential in quantum mechanics. Journal of Physics A Mathematical and Theoretical. 43(8). 85301–85301. 18 indexed citations
8.
Walton, Mark A., et al.. (2010). Solving for the Wigner functions of the Morse potential in deformation quantization. Journal of Physics A Mathematical and Theoretical. 43(22). 225206–225206. 3 indexed citations
9.
Walton, Mark A., et al.. (2006). Star-quantization of an infinite wall. Canadian Journal of Physics. 84(6-7). 557–563. 5 indexed citations
10.
Walton, Mark A. & Jian‐Ge Zhou. (2002). D-branes in asymmetrically gauged WZW models and axial-vector duality. Nuclear Physics B. 648(3). 523–541. 15 indexed citations
11.
Gannon, Terry & Mark A. Walton. (1998). Heterotic modular invariants and level-rank duality. Nuclear Physics B. 536(3). 553–574. 1 indexed citations
12.
Walton, Mark A.. (1994). Tensor products and fusion rules. Canadian Journal of Physics. 72(7-8). 527–536. 8 indexed citations
13.
Mathieu, Pierre, et al.. (1992). New example of a generating function for WZNW fusion rules. Journal of Physics A Mathematical and General. 25(1). 135–148. 1 indexed citations
14.
Mathieu, Pierre & Mark A. Walton. (1991). Integrable perturbations of N = 2 superconformal minimal models. Physics Letters B. 254(1-2). 106–110. 17 indexed citations
15.
Walton, Mark A.. (1990). Fusion rules in Wess-Zumino-Witten models. Nuclear Physics B. 340(2-3). 777–790. 45 indexed citations
16.
Walton, Mark A.. (1990). Algorithm for WZW fusion rules: A proof. Physics Letters B. 241(3). 365–368. 41 indexed citations
17.
Mathieu, Pierre & Mark A. Walton. (1990). Fractional-Level Kač-Moody Algebras and Nonunitary Coset Conformal Theories. Progress of Theoretical Physics Supplement. 102. 229–254. 19 indexed citations
18.
Lam, C. S. & Mark A. Walton. (1985). Permutation symmetry and anomalous dimensions of four-field operators in theory. Canadian Journal of Physics. 63(8). 1042–1049. 3 indexed citations
19.
Lam, C. S. & Mark A. Walton. (1984). A proposal for the origin of KNO scaling. Physics Letters B. 140(3-4). 246–248. 22 indexed citations
20.
Lees, R. M., Mark A. Walton, & J. O. Henningsen. (1981). Experimental support for the existence of an X state close to the CO stretch vibration of methanol. Journal of Molecular Spectroscopy. 88(1). 90–94. 13 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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