Tomoki Nakanishi

Mathematics · Physical Sciences

22h-index1.5kcitations90works0.32yr avg
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Research Topics

Algebraic structures and combinatorial models(74), Advanced Topics in Algebra(54), Nonlinear Waves and Solitons(41), Advanced Algebra and Geometry(15), Advanced Combinatorial Mathematics(14)

Publications90 total

Relation between generalized and ordinary cluster algebras
ArXiv.org·2025Open Access
Relation between generalized and ordinary cluster algebras
arXiv (Cornell University)·2025Open Access
Cluster Algebras and Dilogarithm Identities
2025
$S^1$ reduction of 4D $\mathcal{N}=4$ Schur index and 3D $\mathcal{N}=8$ mass-deformed partition function
arXiv (Cornell University)·2024Open Access
Local and global patterns of rank 3 $G$-fans of totally-infinite type
arXiv (Cornell University)·2024Open Access
Cluster Algebras and Dilogarithm Identities
arXiv (Cornell University)·2024Open Access
Liouville irregular states of half-integer ranks
Journal of High Energy Physics·2024· 3 citedOpen Access
Addendum to "Structure of seeds in generalized cluster algebras"
arXiv (Cornell University)·2024Open Access
Liouville Irregular States of Half-Integer Ranks
arXiv (Cornell University)·2024Open Access
DILOGARITHM IDENTITIES IN CLUSTER SCATTERING DIAGRAMS
Nagoya Mathematical Journal·2023
Two Formulas for <i>F</i>-Polynomials
International Mathematics Research Notices·2023· 1 cited
S1 reduction of 4D $$ \mathcal{N} $$ = 3 SCFTs and squashing independence of ABJM theories
Journal of High Energy Physics·2023· 1 citedOpen Access
Cluster Algebras and Scattering Diagrams
2023· 11 cited
$S^1$ Reduction of 4D $\mathcal{N}=3$ SCFTs and Squashing Independence of ABJM Theories
arXiv (Cornell University)·2022· 3 citedOpen Access
Duality cascades and affine Weyl groups
Journal of High Energy Physics·2022· 4 citedOpen Access
Pentagon relation in quantum cluster scattering diagrams
arXiv (Cornell University)·2022· 2 citedOpen Access
Cluster Algebras and Scattering Diagrams, Part I. Basics in Cluster Algebras
arXiv (Cornell University)·2022· 1 citedOpen Access
Two Formulas for $F$-Polynomials
arXiv (Cornell University)·2021Open Access
Dilogarithm identities in cluster scattering diagrams
arXiv (Cornell University)·2021· 1 citedOpen Access
Cluster Algebras and Scattering Diagrams, Part III. Cluster Scattering Diagrams
arXiv (Cornell University)·2021Open Access
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Frequent Co-authors

Atsuo Kuniba(18), Rei Inoue(6), Junji Suzuki(5), Osamu Iyama(5), Wakako Nakai(4), Kohei Iwaki(3), Andrei Zelevinsky(2), Bernhard Keller(2), Zengo Tsuboi(2), Tomohiro Furukawa(2), Sanefumi Moriyama(2), Akihiro Tsuchiya(1), Boris Feigin(1), Hirosi Ooguri(1), A. N. Kirillov(1), Frederick M. Goodman(1), Salvatore Stella(1), Rinat Kashaev(1), Vladimir V. Mangazeev(1), Dylan Rupel(1)