Tomoyuki Arakawa

1.4k total citations
29 papers, 480 citations indexed

About

Tomoyuki Arakawa is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Tomoyuki Arakawa has authored 29 papers receiving a total of 480 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 22 papers in Algebra and Number Theory and 16 papers in Mathematical Physics. Recurrent topics in Tomoyuki Arakawa's work include Algebraic structures and combinatorial models (25 papers), Advanced Topics in Algebra (21 papers) and Advanced Algebra and Geometry (12 papers). Tomoyuki Arakawa is often cited by papers focused on Algebraic structures and combinatorial models (25 papers), Advanced Topics in Algebra (21 papers) and Advanced Algebra and Geometry (12 papers). Tomoyuki Arakawa collaborates with scholars based in Japan, France and United States. Tomoyuki Arakawa's co-authors include Thomas Creutzig, Takeshi Suzuki, Ching Hung Lam, Hiromichi Yamada, Andrew R. Linshaw, Anne Moreau, Boris Feigin, Alexander Premet, Fyodor Malikov and Cuipo Jiang and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Tomoyuki Arakawa

29 papers receiving 454 citations

Peers

Tomoyuki Arakawa
Ben Webster United States
Antun Milas United States
Alexander Braverman United States
Alexander Stolin Sweden
Anthony Giaquinto United States
Simon Wood Australia
Yuly Billig Canada
Y. Soibelman United States
Alexei Oblomkov United States
Haisheng Li United States
Ben Webster United States
Tomoyuki Arakawa
Citations per year, relative to Tomoyuki Arakawa Tomoyuki Arakawa (= 1×) peers Ben Webster

Countries citing papers authored by Tomoyuki Arakawa

Since Specialization
Citations

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

Fields of papers citing papers by Tomoyuki Arakawa

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Tomoyuki Arakawa

This figure shows the co-authorship network connecting the top 25 collaborators of Tomoyuki Arakawa. A scholar is included among the top collaborators of Tomoyuki Arakawa 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 Tomoyuki Arakawa. Tomoyuki Arakawa 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.
Arakawa, Tomoyuki, et al.. (2024). Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras. Forum of Mathematics Sigma. 12. 3 indexed citations
2.
Arakawa, Tomoyuki, et al.. (2022). Rationality and fusion rules of exceptional $\mathcal {W}$-algebras. Journal of the European Mathematical Society. 25(7). 2763–2813. 11 indexed citations
3.
Arakawa, Tomoyuki, Thomas Creutzig, & Boris Feigin. (2022). Urod algebras and Translation of W-algebras. Forum of Mathematics Sigma. 10. 13 indexed citations
4.
Arakawa, Tomoyuki, et al.. (2021). A question of Joseph Ritt from the point of view of vertex algebras. Journal of Algebra. 588. 118–128. 2 indexed citations
5.
Arakawa, Tomoyuki. (2019). Representation theory of $W$-algebras, II. Advanced studies in pure mathematics. 51–90. 7 indexed citations
6.
Arakawa, Tomoyuki, Thomas Creutzig, & Andrew R. Linshaw. (2019). W-algebras as coset vertex algebras. Inventiones mathematicae. 218(1). 145–195. 48 indexed citations
7.
Arakawa, Tomoyuki, Ching Hung Lam, & Hiromichi Yamada. (2018). Parafermion vertex operator algebras and 𝑊-algebras. Transactions of the American Mathematical Society. 371(6). 4277–4301. 17 indexed citations
8.
Arakawa, Tomoyuki & Anne Moreau. (2017). On the irreducibility of associated varieties of W-algebras. Journal of Algebra. 500. 542–568. 5 indexed citations
9.
Arakawa, Tomoyuki & Cuipo Jiang. (2017). Coset vertex operator algebras and W-algebras of A-type. Science China Mathematics. 61(2). 191–206. 3 indexed citations
10.
Arakawa, Tomoyuki. (2015). Rationality of admissible affine vertex algebras in the category O. Duke Mathematical Journal. 165(1). 37 indexed citations
11.
Arakawa, Tomoyuki, Ching Hung Lam, & Hiromichi Yamada. (2014). Zhu's algebra, C2-algebra and C2-cofiniteness of parafermion vertex operator algebras. Advances in Mathematics. 264. 261–295. 34 indexed citations
12.
Arakawa, Tomoyuki. (2014). Two-sided BGG resolutions of admissible representations. Representation Theory of the American Mathematical Society. 18(7). 183–222. 8 indexed citations
13.
Arakawa, Tomoyuki, et al.. (2012). On the restricted Verma modules at the critical level. Transactions of the American Mathematical Society. 364(9). 4683–4712. 6 indexed citations
14.
Arakawa, Tomoyuki & Fyodor Malikov. (2011). A chiral Borel–Weil–Bott theorem. Advances in Mathematics. 229(5). 2908–2949. 2 indexed citations
15.
Arakawa, Tomoyuki. (2010). A remark on the C 2-cofiniteness condition on vertex algebras. Mathematische Zeitschrift. 270(1-2). 559–575. 47 indexed citations
16.
Arakawa, Tomoyuki, Dmytro Chebotarov, & Fyodor Malikov. (2010). Algebras of twisted chiral differential operators and affine localization of $${\mathfrak {g}}$$ -modules. Selecta Mathematica. 17(1). 1–46. 4 indexed citations
17.
Arakawa, Tomoyuki. (2007). Representation theory of $\mathcal{W}$ -algebras. Inventiones mathematicae. 169(2). 219–320. 64 indexed citations
18.
Arakawa, Tomoyuki. (2005). Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture. Duke Mathematical Journal. 130(3). 48 indexed citations
19.
Arakawa, Tomoyuki. (2003). . International Mathematics Research Notices. 2004(15). 729–729. 12 indexed citations
20.
Arakawa, Tomoyuki & Takeshi Suzuki. (1998). Duality between sln(C) and the Degenerate Affine Hecke Algebra. Journal of Algebra. 209(1). 288–304. 40 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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