Mark Tomforde

1.6k total citations
31 papers, 511 citations indexed

About

Mark Tomforde is a scholar working on Mathematical Physics, Algebra and Number Theory and Statistical and Nonlinear Physics. According to data from OpenAlex, Mark Tomforde has authored 31 papers receiving a total of 511 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Mathematical Physics, 26 papers in Algebra and Number Theory and 10 papers in Statistical and Nonlinear Physics. Recurrent topics in Mark Tomforde's work include Advanced Operator Algebra Research (28 papers), Advanced Topics in Algebra (26 papers) and Noncommutative and Quantum Gravity Theories (10 papers). Mark Tomforde is often cited by papers focused on Advanced Operator Algebra Research (28 papers), Advanced Topics in Algebra (26 papers) and Noncommutative and Quantum Gravity Theories (10 papers). Mark Tomforde collaborates with scholars based in United States, Australia and Japan. Mark Tomforde's co-authors include Vern I. Paulsen, Paul S. Muhly, Aidan Sims, Gene Abrams, Ivan G. Todorov, Ali S. Kavruk, Efren Ruiz, Bernhard G. Bodmann, Lisa Orloff Clark and Søren Eilers and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Journal of Functional Analysis.

In The Last Decade

Mark Tomforde

30 papers receiving 467 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 Tomforde United States 14 456 402 177 76 74 31 511
Judith Packer United States 12 320 0.7× 196 0.5× 126 0.7× 45 0.6× 148 2.0× 34 416
C. P. Hughes United Kingdom 10 260 0.6× 279 0.7× 103 0.6× 37 0.5× 48 0.6× 15 418
Ken Dykema United States 10 301 0.7× 177 0.4× 107 0.6× 18 0.2× 134 1.8× 35 398
Camillo Trapanı Italy 14 579 1.3× 390 1.0× 112 0.6× 65 0.9× 413 5.6× 95 756
Anton Deitmar Germany 10 239 0.5× 127 0.3× 180 1.0× 35 0.5× 67 0.9× 54 346
Jay Jorgenson United States 12 278 0.6× 189 0.5× 219 1.2× 36 0.5× 107 1.4× 62 405
Siegfried Echterhoff Germany 16 622 1.4× 435 1.1× 260 1.5× 77 1.0× 114 1.5× 50 680
Yasuo Watatani Japan 14 568 1.2× 452 1.1× 228 1.3× 94 1.2× 109 1.5× 73 631
Theodore Voronov United Kingdom 8 273 0.6× 214 0.5× 239 1.4× 114 1.5× 46 0.6× 52 440
Simon Wassermann United Kingdom 13 578 1.3× 453 1.1× 168 0.9× 59 0.8× 124 1.7× 28 632

Countries citing papers authored by Mark Tomforde

Since Specialization
Citations

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

Fields of papers citing papers by Mark Tomforde

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mark Tomforde

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Tomforde. A scholar is included among the top collaborators of Mark Tomforde 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 Tomforde. Mark Tomforde 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.
Tomforde, Mark, et al.. (2023). Matricial Archimedean order unit spaces and quantum correlations. Indiana University Mathematics Journal. 72(6). 2567–2591. 1 indexed citations
2.
Carlsen, Toke Meier, Efren Ruiz, Aidan Sims, & Mark Tomforde. (2021). Reconstruction of groupoids and C<sup>⁎</sup>-rigidity of dynamical systems. Research Online (University of Wollongong). 13 indexed citations
3.
Eilers, Søren, Takeshi Katsura, Efren Ruiz, & Mark Tomforde. (2014). Identifying AF-algebras that are graph C⁎-algebras. Journal of Functional Analysis. 266(6). 3968–3996. 1 indexed citations
4.
Ruiz, Efren, Aidan Sims, & Mark Tomforde. (2014). The nuclear dimension of graphC⁎-algebras. Advances in Mathematics. 272. 96–123. 6 indexed citations
5.
Kavruk, Ali S., Vern I. Paulsen, Ivan G. Todorov, & Mark Tomforde. (2013). Quotients, exactness, and nuclearity in the operator system category. Advances in Mathematics. 235. 321–360. 32 indexed citations
6.
Ruiz, Efren & Mark Tomforde. (2013). Ideals in Graph Algebras. Algebras and Representation Theory. 17(3). 849–861. 10 indexed citations
7.
Kavruk, Ali S., Vern I. Paulsen, Ivan G. Todorov, & Mark Tomforde. (2011). Tensor products of operator systems. Journal of Functional Analysis. 261(2). 267–299. 40 indexed citations
8.
Abrams, Gene & Mark Tomforde. (2011). Isomorphism and Morita equivalence of graph algebras. Transactions of the American Mathematical Society. 363(7). 3733–3733. 38 indexed citations
9.
Katsura, Takeshi, Paul S. Muhly, Aidan Sims, & Mark Tomforde. (2010). Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence. Journal für die reine und angewandte Mathematik (Crelles Journal). 2010(640). 9 indexed citations
10.
Katsura, Takeshi, Aidan Sims, & Mark Tomforde. (2009). Realizations of AF-algebras as graph algebras, Exel–Laca algebras, and ultragraph algebras. Journal of Functional Analysis. 257(5). 1589–1620. 5 indexed citations
11.
Tomforde, Mark. (2009). Continuity of ring ∗-homomorphisms between C ∗ -algebras. 15. 161–167. 2 indexed citations
12.
Eilers, Søren & Mark Tomforde. (2009). On the classification of nonsimple graph C *-algebras. Mathematische Annalen. 346(2). 393–418. 11 indexed citations
13.
Bodmann, Bernhard G., Vern I. Paulsen, & Mark Tomforde. (2008). Equiangular tight frames from complex Seidel matrices containing cube roots of unity. Linear Algebra and its Applications. 430(1). 396–417. 28 indexed citations
14.
Katsura, Takeshi, Paul S. Muhly, Aidan Sims, & Mark Tomforde. (2008). Ultragraph C*-algebras via topological quivers. Studia Mathematica. 187(2). 137–155. 8 indexed citations
15.
Tomforde, Mark. (2007). Uniqueness theorems and ideal structure for Leavitt path algebras. Journal of Algebra. 318(1). 270–299. 66 indexed citations
16.
Muhly, Paul S. & Mark Tomforde. (2004). Adding tails to $C^*$-correspondences. Documenta Mathematica. 9. 79–106. 26 indexed citations
17.
Tomforde, Mark. (2004). Stability of 𝐶*-algebras associated to graphs. Proceedings of the American Mathematical Society. 132(6). 1787–1795. 15 indexed citations
18.
Raeburn, Iain, Mark Tomforde, & Dana P. Williams. (2004). Classification theorems for theC*-Algebras of graphs with sinks. Bulletin of the Australian Mathematical Society. 70(1). 143–161. 5 indexed citations
19.
Tomforde, Mark. (2002). Real rank zero and tracial states of C*-algebras associated to graphs. arXiv (Cornell University). 4 indexed citations
20.
Tomforde, Mark. (2001). C*-algebras of labeled graphs. arXiv (Cornell University). 2 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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