NAKANISHI Tomoki 中西知樹

… Alternative Names

中西知樹ナカニシトモキ

中西友樹ナカニシトモキ

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Researcher Number	80227842
Other IDs
Affiliation (Current)	2025: 名古屋大学, 多元数理科学研究科, 教授
Affiliation (based on the past Project Information) *help	2014 – 2024: 名古屋大学, 多元数理科学研究科, 教授 2014: 名古屋大学, 多元数理研究科, 教授 2010 – 2013: Nagoya University, 多元数理科学研究科, 准教授 2012: 名古屋大学, 大学院・多元数理科学研究科, 准教授 2011: 名古屋大学, 多元数理化学研究科, 准教授 … More 2011: 名古屋大学, 多元数理研究科, 准教授 2010: 名古屋大学, 大学院・多元数理研究科, 准教授 2007 – 2010: Nagoya University, 大学院・多元数理科学研究科, 准教授 2006: Nagoya University, Graduate School of Mathematics, associate Professor, 大学院多元数理科学研究科, 助教授 1998 – 2005: 名古屋大学, 大学院・多元数理科学研究科, 助教授 1995 – 1996: 名古屋大学, 大学院・多元数理科学研究科, 助教授 1994: 名古屋大学, 理学部, 助教授 1992: 名古屋大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Geometry / Global analysis / Basic analysis / Algebra / Mathematical physics/Fundamental condensed matter physics / Geometry
Keywords	Principal Investigator 量子群 / 団代数 / 二重対数関数 / 可解格子模型 / 可積分系 / 散乱図式 / quantum group / 可積分模型 / ダイログ関数 / 指標 … More / Y-system / 無限可積分系 / 団散乱図 / 組合せ論 / ルート系 / C行列 / 五角関係式 / 団散乱図式 / Young diagram / Symmetric functions / リー代数 / Yang-Baxter方程式 / ヤング図形 / 対称関数 / intergrable models / Heisenberg model / Bethe ansatz / 可積分格子模型 / Bethe方程式 / ベーテ仮説 / ベーテ方程式 / ハイゼンベルグ模型 / ベーテ仮説法 / 曲面の三角分割 / 完全WKB解析 / クラスター代数 / 多元環 / Lotka-Volterra方程式 / Poisson構造 / dilogarithm / T-system / 団圏 / 量子可積分系 / S行列 / 転送行列 / dilog関数 / 関数方程式 / 共形場理論 / Bethe Ansatz … More Except Principal Investigator 共形場理論 / 量子群 / 頂点作用素代数 / 可積分系 / 共形ブロック / 場の量子論 / vertex operator algebra / conformal field theory / E_8^<(1)>単純楕円特異点 / 有利楕円曲面の周期 / 原始型式 / 表現論 / 団代数 / 量子R行列 / 四面体方程式 / ヤン・バクスター方程式 / クラスター代数 / テンソル圏 / 平面分割 / 交代符号行列 / 対称関数 / 対合をもつ楕円K-3曲面 / Quasi-finite代数 / 変異 / n正則加群 / 標準多元環 / 有限表現型 / 傾理論 / 重み付き射影直線 / 台τ傾加群 / τ rigid有限多元環 / 団圏 / Calabi-Yau退化 / 準傾退化 / 傾対象 / 非可換クレパント特異点解消 / τ-rigid加群 / 三角圏 / 前射影多元環 / 整環 / 非可換特異点解消 / 団理論 / Geigle-Lenzing完全交叉環 / n無限表現型 / Cohen-Macaulay加群 / 導来圏 / τ傾理論 / 高次元Auslander-Reiten理論 / quantum field theory / conformal block / A_8-Jacobi型式 / W_n-代数 / Fusion関手 / ZhuのC_2条件 / singular equation / Borel summability / divergent solution / orthogonal polynomials / LR transform / quasi hypergeometric / 離散可積分系 / モノドロミー / 特異点 / Wu方程式 / 接続行列 / 差分方程式 / 超幾何積分 / 超球面配置 / 接続関係式 / ジュブレイ指数 / ポアンカレ条件 / 収束,発散 / 形式的巾級数解 / 特異偏微分方程式 / ボレル総和可能性 / 発散級数解 / 直交多項式 / LR変換 / 準超幾何関数 / E_8^<(1)> type simple elliptic singulations / period of rational elliptic surface / primitive form / E_8 type elliptic Weyl group / N=2 Virasoro代数 / 有理楕円曲面のMordell-Weil Lattice / Seiberg-Witten微分 / 有理楕円曲面の周期理論 / 楕円型Weyl群 / 楕円型リー環 / 有利楕円曲面の周期理論 / E_8型Elliptic Wey1群 / E_8型Elliptic Weyl群 / inverse matrix / classical invariant theory / Tannaka duality / tensor category / quantum group / 位相的場の量子論 / 6j-symbol / Littlewood-Richardson則 / Littlewood-Richardson 則 / 逆行列 / 古典不変式論 / 淡中双対性 / 量子クラスター代数 / ｑ－振動子表現 / ４面対方程式 / ３次元反射方程式 / PBW 基底 / q 振動子 / 量子アフィン・リー環 / PBW基底 / 3次元反射方程式 / 量子座標環 / 数理物理学 / 組合せ論 / 複素鏡映群 / KP 階層 / Pfaffian / 組合せ論的表現論 / 超離散 / 逆散乱法 / ソリトン / 双線形化 / トロピカルR / 幾何クリスタル / ベーテ仮説 / 量子可積分系 / 密度行列 / 量子・古典クロスオーバー / concurrence / 完全WKB法 / 関数等式 / 量子もつれ / 相関関数 / 量子スピン / 厳密WKB法 / painleve型方程式 / Painleve方程式 / Young図形 / 行列式 / 古典群 / (2,10)型のIV型領域 / 導来圏の自己同型群 / E_8型楕円Artin群 / 導来圏の安定性条件 / 向井ベクトル / Affine-Lie環 / degenerate double Affine Hecke環 / Yangian Y(sl_2) / アファレリー環 / 2次元場の量子論 Less

団代数理論と応用の研究Principal Investigator
- Principal Investigator
  
  中西知樹
- Project Period (FY)
  2023
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Nagoya University
Integration of cluster algebras and scattering diagramsPrincipal Investigator
- Principal Investigator
  
  中西知樹
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Nagoya University
Study of new algebraic and combinatorial structure in integrable systemsPrincipal Investigator
- Principal Investigator
  
  Nakanishi Tomoki
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Algebraic combinatorics of plane partitions and alternating sign matrices, and related representation theory and mathematical physics
- Principal Investigator
  
  Soichi Okada
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Integrable models and quantum cluster algebras
- Principal Investigator
  
  KUNIBA ATSUO
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
New development of representation theory of orders
- Principal Investigator
  
  IYAMA Osamu
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Studies of the algebraic and combinatorial structures related to quantum integrable systems
- Principal Investigator
  
  OKADO Masato
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
  Osaka University
Study of foundation and applications of cluster algebrasPrincipal Investigator
- Principal Investigator
  
  Nakanishi Tomoki
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Combinatorics and difference structure in Bethe ansatz
- Principal Investigator
  
  KUNIBA Atsuo
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
The exact WKB analysis on correlation functions of low dimensional quantum systems and quantum entanglement.
- Principal Investigator
  
  SUZUKI Junji
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical physics/Fundamental condensed matter physics
- Research Institution
  Shizuoka University
Representations of quantum groups and quantum integrable systemsPrincipal Investigator
- Principal Investigator
  
  NAKANISHI Tomoki
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Combinatorics of alternating sign matrices and symmetric functions and applications to representation theory and integrable systems
- Principal Investigator
  
  OKADA Soichi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
On the study of two dimensional quantum field theory by the methodof representation theory
- Principal Investigator
  
  TSUCHIYA Akihiro
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
  Nagoya University
共形場理論による量子的周期理論の展開
- Principal Investigator
  
  土屋昭博
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Quantum characters of quantum groups and integrable modelsPrincipal Investigator
- Principal Investigator
  
  NAKANISHI Tomoki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Representation Theoretic Study of Two Dimensional Quantum Field Theory
- Principal Investigator
  
  TSUCHIYA Akihiro
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Representation Theoretic Study of Two Dimensional Quantum Field Theory
- Principal Investigator
  
  TSUCHIYA Akihiro
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Analytic Integral and its applications
- Principal Investigator
  
  MIYAKE Masatake, 青本和彦
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Study of integrable structure inquanteem integrable modelPrincipal Investigator
- Principal Investigator
  
  NAKANISHI Tomoki
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
A new quality theorem for tensor category and the equivarence of topological quantum field theories
- Principal Investigator
  
  HAYASHI Takahiro
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Graduate School of Mathematics, Nagoya University
2次元場の量子論と無限次元リー環および量子群の表現論
- Principal Investigator
  
  土屋昭博
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
二次元量子可積分系の研究Principal Investigator
- Principal Investigator
  
  中西知樹
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Nagoya University
2次元場の量子論と無限次元リー環および量子群の表現論
- Principal Investigator
  
  TSUCHIYA Akihiro
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
量子群の表現論と二次元量子可積分系への応用Principal Investigator
- Principal Investigator
  
  中西知樹
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
二次元量子可積分系の研究Principal Investigator
- Principal Investigator
  
  中西知樹
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Nagoya University
可解格子模型と可積分場の理論研究Principal Investigator
- Principal Investigator
  
  中西知樹
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Nagoya University

[Book] Cluster algebras and scattering diarams2023
- Author(s)
  Tomoki Nakanishi
- Total Pages
  279
- Publisher
  Mathematical Society of Japan
- ISBN
  9784864971058
- Data Source
  KAKENHI-PROJECT-23K22385
[Journal Article] Two formulas for F -polynomial2024
- Author(s)
  Feiyang Lin, Gregg Musiker, Tomoki Nakanishi
- Journal Title
  
  Int. Math. Res. Not.
  
  Volume: 2024 Issue: 1 Pages: 613-634
- DOI
  10.1093/imrn/rnad074
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22385
[Journal Article] Dilogarithm identities in cluster scattering diagrams2024
- Author(s)
  Tomoki Nakanishi
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 253 Pages: 1-22
- DOI
  10.1017/nmj.2023.15
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K22385
[Journal Article] Synchronicity phenomenon in cluster patterns2021
- Author(s)
  Tomoki Nakanishi
- Journal Title
  
  J. London Math. Soc.
  
  Volume: 103 Issue: 3 Pages: 1120-1152
- DOI
  10.1112/jlms.12402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03922
[Journal Article] Rogers dilogarithms of higher degree and generalized cluster algebras2018
- Author(s)
  Tomoki Nakanishi
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 70 Issue: 4 Pages: 1269-1304
- DOI
  10.2969/jmsj/75767576
- NAID
  130007501709
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Journal Article] Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities2017
- Author(s)
  Michael Gekhtman, Tomoki Nakanishi, Dylan Rupel
- Journal Title
  
  J. Integrable Syst.
  
  Volume: 2 Issue: 1 Pages: 1-35
- DOI
  10.1093/integr/xyx005
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Journal Article] Companion cluster algebras to a generalized cluster algebra2016
- Author(s)
  Tomoki Nakanishi, Dylan Rupel
- Journal Title
  
  Travaux mathematiques
  
  Volume: 24 Pages: 129-149
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Journal Article] Companion cluster algebras to a generalized cluster algebra2016
- Author(s)
  Tomoki Nakanishi and Dylan Rupel
- Journal Title
  
  Trav. Math.
  
  Volume: 24 Pages: 129-149
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340003
[Journal Article] Structure of seeds in generalized cluster algebras2015
- Author(s)
  Tomoki Nakanishi
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 277 Issue: 1 Pages: 201-202
- DOI
  10.2140/pjm.2015.277.201
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23340007, KAKENHI-PROJECT-23540012, KAKENHI-PROJECT-24340003
[Journal Article] Quantum generalized cluster algebras and quantum dilogarithms of higher degrees2015
- Author(s)
  Tomoki Nakanishi
- Journal Title
  
  Theoretical and Mathematical Physics
  
  Volume: 185 Issue: 3 Pages: 1759-1768
- DOI
  10.1007/s11232-015-0377-9
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23340007, KAKENHI-PROJECT-23540012, KAKENHI-PROJECT-24340003
[Journal Article] Exact WKB analysis and cluster algebras II: simple poles, orbifold points, and generalized cluster algebras2015
- Author(s)
  Kohei Iwaki and Tomoki Nakanishi
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 印刷中 Issue: 14 Pages: 4375-4417
- DOI
  10.1093/imrn/rnv270
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23340007, KAKENHI-PROJECT-23540012
[Journal Article] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2014
- Author(s)
  Nakanishi, T., Stella, S.
- Journal Title
  
  The Electronic Journal of Combinatorics
  
  Volume: 21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540203
[Journal Article] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2014
- Author(s)
  T. Nakanishi and S. Stella
- Journal Title
  
  Electronic Journal of Combinatorics
  
  Volume: 21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340003
[Journal Article] Exact WKB analysis and cluster algebras2014
- Author(s)
  Kohei Iwaki and Tomoki Nakanishi
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 47 Issue: 47 Pages: 474009-474009
- DOI
  10.1088/1751-8113/47/47/474009
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-13J02831, KAKENHI-PROJECT-23340007, KAKENHI-PROJECT-23540012
[Journal Article] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2014
- Author(s)
  Tomoki Nakanishi, Salvatore Stella
- Journal Title
  
  Electron. J. Combin.
  
  Volume: 21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540012
[Journal Article] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2014
- Author(s)
  Tomoki Nakanishi, Salvatore Stella
- Journal Title
  
  Electronic Journal of Combinatorics
  
  Volume: 21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340007
[Journal Article] Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Types C_r, F_4, and G_22013
- Author(s)
  Rei Inoue 他
- Journal Title
  
  Publ. RIMS
  
  Volume: 49 Issue: 1 Pages: 43-85
- DOI
  10.4171/prims/96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740111, KAKENHI-PROJECT-23340007, KAKENHI-PROJECT-23540012, KAKENHI-PROJECT-24340004, KAKENHI-PROJECT-24540203
[Journal Article] Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r2013
- Author(s)
  Rei Inoue 他
- Journal Title
  
  Publ. RIMS
  
  Volume: 49 Issue: 1 Pages: 1-42
- DOI
  10.4171/prims/95
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740111, KAKENHI-PROJECT-23340007, KAKENHI-PROJECT-23540012, KAKENHI-PROJECT-24340004, KAKENHI-PROJECT-24540203
[Journal Article] Note on dilogarithm identities from nilpotent double affine Hecke algebras2012
- Author(s)
  Tomoki NAKANISHI
- Journal Title
  
  SIGMA
  
  Volume: 8 Pages: 104-104
- DOI
  10.3842/sigma.2012.104
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340003
[Journal Article] Note on dilogarithm identities from nilpotent double affine Hecke algebras2012
- Author(s)
  Tomoki Nakanishi
- Journal Title
  
  SIGMA
  
  Volume: 8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340007
[Journal Article] On tropical dualities in cluster algbras2012
- Author(s)
  Tomoki Nakanishi, Andrei Zelevinsky
- Journal Title
  
  Contemp. Math.
  
  Volume: 565 Pages: 217-226
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540012
[Journal Article] Tropicalization method in cluster algebras2012
- Author(s)
  Tomoki Nakanishi
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 580 Pages: 95-115
- DOI
  10.1090/conm/580/11486
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340007, KAKENHI-PROJECT-23540012
[Journal Article] On tropical dualities in cluster algebras2012
- Author(s)
  Tomoki Nakanishi, Andrei Zelevinsky
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 565 Pages: 217-226
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340007
[Journal Article] T-systems and Y-systems in integrable systems2011
- Author(s)
  Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki
- Journal Title
  
  Journat of Physics A : Math.Theor.
  
  Volume: 44 Pages: 103001-103001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] T-systems and Y-systems in integrable systems2011
- Author(s)
  A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  J.Phys.A : Math.Theor.
  
  Volume: 44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540209
[Journal Article] T-systems and Y-systems in integrable systems2011
- Author(s)
  A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  J.Phys.A : Math.Theor..
  
  Volume: 44(電子ジャーナル) Pages: 146-146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540370
[Journal Article] On Frenkel-Mukhin algorithm for q-character of quantum affine algebras2011
- Author(s)
  W.Nakai, T.Nakanishi
- Journal Title
  
  Adv.Stud.Pure Math.
  
  Volume: 61 Pages: 327-347
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340007
[Journal Article] T-systems and Y-systems in integrable systems2011
- Author(s)
  Kuniba A., Nakanishi T., Suzuki J.
- Journal Title
  
  Journal of Physics A.Mathematical and Theoretical
  
  Volume: 44 Issue: 10 Pages: 103001-103001
- DOI
  10.1088/1751-8113/44/10/103001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540209
[Journal Article] T-systems and Y-systems in integrable systems2011
- Author(s)
  A. Kuniba, T. Nakanishi, J. Suzuki
- Journal Title
  
  J. Phys. A : Math. Theor
  
  Volume: 44 Pages: 103001-146
- Data Source
  KAKENHI-PROJECT-21540209
[Journal Article] Classical and quantum dilogarithm identities2011
- Author(s)
  R.M.Kashaev, T.Nakanishi
- Journal Title
  
  SIGMA
  
  Volume: 7 Pages: 102-131
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340007
[Journal Article] T-systems, Y-systems, and cluster algebras : Tamely laced case2011
- Author(s)
  T..Nakanishi
- Journal Title
  
  In Proc.Of the Infinite Analysis 09, New Trends in Quantum Integrable Systems(eds.B.Feigin, et al.)(World Scientifi, Singapore)
  
  Pages: 325-355
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] T-systems and Y-systems in integrable systems2011
- Author(s)
  A.Kuniba,T.Nakanishi, J.Suzuki
- Journal Title
  
  J.Phys.A : Math.Theor. Vol 44
  
  Pages: 146-146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540370
[Journal Article] Classical and quantum dilogarithm identities2011
- Author(s)
  Rinat M. Kashaev, Tomoki Nakanishi
- Journal Title
  
  SIGMA
  
  Volume: 7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540012
[Journal Article] Periodicities of T-systems and Y-systems.2010
- Author(s)
  R.Inoue, O.Iyama, A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  Nagoya Math.J.
  
  Volume: 197 Pages: 59-174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540209
[Journal Article] Periodicities of T- systems and Y- systems2010
- Author(s)
  R.Inoue, O.Iyama, A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  Nagoya Mathematical Journal 197
  
  Pages: 59-174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540370
[Journal Article] Periodicities of T-systems and Y-systems2010
- Author(s)
  R. Inoue, O. Iyama, A. Kuniba, J. Suzuki, T. Nakanishi
- Journal Title
  
  Naogya Math J. 197
  
  Pages: 56-174
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Periodicities of T-systems and Y-systems2010
- Author(s)
  R. Inoue, O. Iyama, A. Kuniba, T. Nakanishi, J. Suzuki
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 197 Pages: 59-174
- Data Source
  KAKENHI-PROJECT-21540209
[Journal Article] Symmetry2010
- Author(s)
  A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  Integrability and Geometry : Method and Applications Vol 5
  
  Pages: 23-23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540370
[Journal Article] Periodicities in cluster algebras and dilogarithm identities, to appear in Representation of Algebras and Related Topics2010
- Author(s)
  T..Nakanishi
- Journal Title
  
  Proc.Of ICRA XIV, Tokyo
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Periodicities of T-systems and Y-systems2010
- Author(s)
  R.Inoue, O.Iyama, A.Kuniba, J.Suzuki, T.Nakanishi
- Journal Title
  
  Naogya Math J. 197
  
  Pages: 56-174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Dilogarithm identities for sine-Gordona dn reduced sine-Gordon Y-systems2010
- Author(s)
  Tomoki Nakanishi, Roberto Tateo
- Journal Title
  
  Symmetry, Integrability and Geometry : Methods and Applications
  
  Volume: 6 Pages: 85-85
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Periodicities of T-systems and Y-systems2010
- Author(s)
  R.Inoue, O.lyama, A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  Nagoya Math J. 197
  
  Pages: 59-174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] T- systems and Y- systems for quantum affinizations of quantum Kac- Moody algebras2010
- Author(s)
  A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  Symmetry, Integrability and Geometry : Method and Applications 5
  
  Pages: 108-108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540370
[Journal Article] Periodicities of T-systems and Y-systems2010
- Author(s)
  R.Inoue, O.Iyama, A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  Nagoya Mathematical Journal Vol 197
  
  Pages: 59-174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540370
[Journal Article] Dilogarithm identities for sine-Gordon and reduced sine-Gordon Y-systems2010
- Author(s)
  T..Nakanishi, R.Tateo
- Journal Title
  
  SIGMA 6 085
  
  Pages: 34-34
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras2009
- Author(s)
  A. Kuniba, T. Nakanishi, J. Suzuki
- Journal Title
  
  SIGMA 5
  
  Volume: 108 Pages: 23-23
- Data Source
  KAKENHI-PROJECT-21540209
[Journal Article] T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras2009
- Author(s)
  A.Kuniba, T..Nakanishi, J.Suzuki
- Journal Title
  
  SIGMA 5 108
  
  Pages: 23-23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras2009
- Author(s)
  国場敦夫, T.Nakanishi, J.Suzuki
- Journal Title
  
  SIGMA 5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540209
[Journal Article] T-systems and Y-systems for quantum affinizations of quantum Kac-Moodyalgebras2009
- Author(s)
  A.Kuniba, T.Nakanishi, J.Suzuki
- Journal Title
  
  SIGMA 5(pagesページ番号無)
  
  Pages: 108-23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras2009
- Author(s)
  A. Kuniba, T. Nakanishi , J. Suzuki
- Journal Title
  
  SIGMA5 108
  
  Pages: 23-23
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Paths and tableaux descriptions of Jacobi-Trudi determiant associated with quantum affine algebra of type D_n2007
- Author(s)
  Wakako Nakai, Tomoki Nakanishi
- Journal Title
  
  J. Algebr. Comb. 26
  
  Pages: 253-290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] On Frenkel-Mukhin algorithm for q-character of quantum affine algebras, Adv. Stud. In Pure Math2007
- Author(s)
  W. Nakai, T. Nakanishi
- Journal Title
  
  Exploration of New Structures and Natural Constructions in Mathematical Physic, Nagoya (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540024
[Journal Article] Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type D_n2007
- Author(s)
  W. Nakai, T. Nakanishi
- Journal Title
  
  J.Algebraic Combin 26
  
  Pages: 253-290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540024
[Journal Article] Paths and tableaux descriptions of Jacobi-Trudi determiant associated with quantum affine algebra of type C_n2007
- Author(s)
  Wakako Nakai, Tomoki Nakanishi
- Journal Title
  
  SIGMA 3
  
  Pages: 078-20
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type C_n2007
- Author(s)
  W. Nakai, T. Nakanishi
- Journal Title
  
  SIGMA 3
  
  Pages: 20-20
- NAID
  120000975132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540024
[Journal Article] Paths, tableaux and q-characters of quantum affine algebras : the Cn case2006
- Author(s)
  W.Nakai, T.Nakanishi
- Journal Title
  
  J.Phys.A : Math.Gen. 39
  
  Pages: 2083-2115
- NAID
  120000976302
- Data Source
  KAKENHI-PROJECT-15540020
[Journal Article] Paths, tableaux and q-characters of quantum affine algebras : the Cn case2006
- Author(s)
  W.Nakai, T.Nakanishi
- Journal Title
  
  Journal of Physics A : Math.Gen. 39
  
  Pages: 2083-2115
- NAID
  120000976302
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540020
[Journal Article] Paths, tableaux and q-characters of quantum affine algebras : the Cn case2006
- Author(s)
  W.Nakai, T.Nakanishi
- Journal Title
  
  Journal of Physics A : Math. Gen. 39
  
  Pages: 2083-2115
- NAID
  120000976302
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540020
[Journal Article] Paths, tableaux and q-characters of quantum affine algebras : the C_n case2006
- Author(s)
  W. Nakai, T. Nakanishi
- Journal Title
  
  J. Phys. A : Math Gen 39
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540024
[Journal Article] Paths and tableaux desociptims of Jacchi Tradi determinant associated with quantum affine algebras of type Dn
- Author(s)
  W.Nakai, T.Nakanishi
- Journal Title
  
  Journal of Algebraic Combinatorics (印刷中)
- Data Source
  KAKENHI-PROJECT-15540020
[Journal Article] Paths and tableaux desoriptions of Jaccbi-Frudi determinant associated with quartum affine algebras of type Dn
- Author(s)
  W.Nakai, T.Nakanishi
- Journal Title
  
  Journal of Algebraic Combinatorics (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540020
[Journal Article] Periodicities of T and Y-sysems, dilogarithm identities, and cluster algebras II : Types C_r, F_4, and G_2
- Author(s)
  R.Inoue, O.Iyama, B.Keller, A.Kuniba, T..Nakanishi
- Journal Title
  
  to appear in Publ.RIMS.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] On tropical dualities in cluster algebras
- Author(s)
  T..Nakanishi, A.Zelevinsky
- Journal Title
  
  to appear in Contemp.Math.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Dilogarithm identities for conformal field theories and cluster algebras : simply laced case
- Author(s)
  T..Nakanishi
- Journal Title
  
  to appear in Nagoya Math.J.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] T-systems and Y-systems in integrable systems
- Author(s)
  A.Kuniba, T..Nakanishi, J.Suzuki,
- Journal Title
  
  J.Phys.A : Math. Theor. 44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type Dn
- Author(s)
  W.Nakai, T Nakanishi
- Journal Title
  
  Journal of Algebraic Combinatorics (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540020
[Journal Article] On Frenkel-Mukhin algorithm for $q$-character of quantum affine algebras
- Author(s)
  W.Nakai, T..Nakanishi
- Journal Title
  
  to appear in Advanced Studies in Pure Math.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Periodicities of T and Y-sysems, dilogarithm identities and cluster algebras I : Type B_r
- Author(s)
  R.Inoue, O.Iyama, B.Keller, A.Kuniba, T..Nakanishi
- Journal Title
  
  to appear in Publ.RIMS.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Journal Article] Difference equations and cluster algebras I : Piosson bracket for integrable difference equations
- Author(s)
  R.Inoue, T..Nakanishi
- Journal Title
  
  to appear in RIMS Kokyuroku Bessatsu.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540021
[Presentation] Classical vs quantum pentagon relations2024
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster Algebras and Its Applications, Mathematisches Forschungsinstitut (MFO)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22385
[Presentation] Reducibility of dilogarithm identities in cluster algebras2023
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster algebra, Representation theory and Algebraic geometry, The University of Hong Kong
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22385
[Presentation] Dilogarithm identities, cluster algebras, and cluster scattering diagrams2023
- Author(s)
  Tomoki Nakanishi
- Organizer
  Polylogarithms, Cluster Algebras, and Scattering Amplitudes, Brin Mathematics Research Center (BMRC), University of Maryland
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22385
[Presentation] Cluster algebras and cluster scattering diagrams2022
- Author(s)
  中西知樹
- Organizer
  代数学シンポジウム, 京大数理研/online
- Invited
- Data Source
  KAKENHI-PROJECT-23K22385
[Presentation] Cluster scattering diagrams, dilogarithm elements, and pentagon relation2022
- Author(s)
  Tomoki Nakanishi
- Organizer
  MSJ annual meeting, Saitama University
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Mutations, dilogarithm, and pentagon relation2022
- Author(s)
  Tomoki Nakanishi
- Organizer
  Bases for Cluster Algebras, Oaxaca, Mexico/online
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22385
[Presentation] 団代数・ルート系・散乱図式2021
- Author(s)
  中西知樹
- Organizer
  日本数学会・企画特別講演, 慶應大(online)
- Invited
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Cluster patterns and scattering diagrams2021
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster Algebras and Related Topics, Morningside Center of Mathematics, Beijing, China/online.
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Cluster scattering diagrams2021
- Author(s)
  Tomoki Nakanishi
- Organizer
  Combinatorial representation theory and related subjects, RIMS (online)
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Rogers dilogarithms of higher degree and generalized cluster algebras2019
- Author(s)
  Tomoki Nakanishi
- Organizer
  Development of Moduli Space and Hyperbolic Geometry, Tokyo Univerisity
- Invited
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Cluster Algebras and Dilogarithm identities2018
- Author(s)
  Tomoki Nakanishi
- Organizer
  School on Cluster Algebras, ICTS, Bengalore, India
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2018
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster Algebras and Mathematical Physics (CAMP), Michigan State University, East Lansing, USA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2017
- Author(s)
  Tomoki Nakanishi
- Organizer
  Frontiers in mathematical physics
- Place of Presentation
  立教大学
- Year and Date
  2017-01-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2017
- Author(s)
  Tomoki Nakanishi
- Organizer
  Spring school: Cluster Algebras in Mathematical Physics
- Place of Presentation
  Johannes Gutenberg-Universitat Mainz, Germany
- Year and Date
  2017-03-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2017
- Author(s)
  Tomoki Nakanishi
- Organizer
  Frontiers in Mathematical Physics
- Place of Presentation
  立教大学，東京
- Year and Date
  2017-01-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2017
- Author(s)
  Tomoki Nakanishi
- Organizer
  International Workshop on Cluster Algebras and Related Topics, Chern Institue of Mathematics, Nankai University, Tianjin, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Periodicities of x- and y-variables in cluster algebras2017
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster Algebras: Twenty Years On, Centre International de Rencontres Mathematiques, Luminy, France
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2016
- Author(s)
  Tomoki Nakanishi
- Organizer
  Quivers, Cluster Algebras and Mathematical Physics
- Place of Presentation
  Chinese University of Hong Kong, Hong Kong
- Year and Date
  2016-12-20
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] On generalized cluster algebras2016
- Author(s)
  Tomoki Nakanishi
- Organizer
  International Conference Symmetries and Integrability of Difference Equations
- Place of Presentation
  Sainte-Adele, Canada
- Year and Date
  2016-07-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Introduction to cluster algebras および Tropical variables in cluster algebras （計２講演）2016
- Author(s)
  Tomoki Nakanishi
- Organizer
  Tropical Geometry and Related Topic
- Place of Presentation
  京都大
- Year and Date
  2016-03-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Generalized cluster algebras and dilogarithms of higher degree2016
- Author(s)
  Tomoki Nakanishi
- Organizer
  5TH Workshop on Cominatorics of Moduli Spaces, Hurwitz Numbers and Cohomological Field Theories
- Place of Presentation
  the Higher School of Economics, Russia
- Year and Date
  2016-06-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Introduction to cluster algebrasTropical variables in cluster algebras2016
- Author(s)
  Tomoki Nakanishi
- Organizer
  Tropical Geometry and Related Topics
- Place of Presentation
  Kyoto University, Kyoto-shi, Kyoto, Japan
- Year and Date
  2016-03-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view2016
- Author(s)
  Tomoki Nakanishi
- Organizer
  Quivers, Cluster Algebras and Mathematical Physics
- Place of Presentation
  Chinese University of Hong Kong, China
- Year and Date
  2016-12-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03922
[Presentation] Introduction to cluster algebras2015
- Author(s)
  中西知樹
- Organizer
  表現論シンポジウム
- Place of Presentation
  伊豆長岡（静岡県・伊豆の国市）
- Year and Date
  2015-11-17
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Introduction to cluster algebras2015
- Author(s)
  中西知樹
- Organizer
  2015 年表現論シンポジウム
- Place of Presentation
  公共の宿おおとり荘，伊豆長岡
- Year and Date
  2015-11-18
- Invited
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] On generalized cluster algebras2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  The Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
- Place of Presentation
  University of Georgia, Atlanta, USA
- Year and Date
  2015-04-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] On generalized cluster algebras2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  The Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
- Place of Presentation
  University of Georgia, Athens, USA
- Year and Date
  2015-04-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] On generalized cluster algebras2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
- Place of Presentation
  University of Georgia, Athens, USA
- Year and Date
  2015-04-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] Introduction to cluster algebras2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  Symposium on Representation Theory 2015
- Place of Presentation
  伊豆長岡
- Year and Date
  2015-11-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Introduction to cluster algebras2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  The 7th young algebraists seminar
- Place of Presentation
  名古屋大学（愛知県名古屋市）
- Year and Date
  2015-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Cluster algebras and applications2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  School and International Conference on Geometry and Quantization GEOQUANT 2015
- Place of Presentation
  ICMAT, Madrid, Spain
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Riemann surface and cluster algebra2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  Quantization of Spectral Curves
- Place of Presentation
  Osaka City University, Osaka-shi, Osaka, Japan
- Year and Date
  2015-11-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Riemann surface and cluster algebra2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  Quantization of Spectral Curves
- Place of Presentation
  大阪市大
- Year and Date
  2015-11-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Cluster algebras and applications2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  School and International Conference on Geometry and Quantization GEOQUANT 2015
- Place of Presentation
  Instituto de Ciencias Matematicas, Madrid, Spain
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] Cluster algebras and applications2015
- Author(s)
  Tomoki Nakanishi
- Organizer
  School and International Conference on Geometry and Quantization GEOQUANT 2015
- Place of Presentation
  ICMAT, Madrid, Spain
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Exact WKB analysis and cluster algebras2014
- Author(s)
  Tomoki Nakanishi
- Organizer
  Geometry, physics and representation theory
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] On generalized cluster algebras2014
- Author(s)
  T. Nakanishi
- Organizer
  Strings, Quivers and Cluster Algebras in Mathematical Physics
- Place of Presentation
  KIAS, Seoul, Korea
- Year and Date
  2014-12-18
- Invited
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] Diagrammatic description of c-vectors and d-vectors in cluster algebras of finite type Wonder of sine-Gordon Y-system2013
- Author(s)
  中西知樹
- Organizer
  日本数学会2013年度秋期総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Diagrammatic description of c-vectors and d-vectors in cluster algebras2013
- Author(s)
  中西知樹
- Organizer
  String theory, integrable systems and representation theory
- Place of Presentation
  京都大学数理解析研究所, 京都市, 京都府
- Invited
- Data Source
  KAKENHI-PROJECT-24540203
[Presentation] Exact WKB analysis and cluster algebras2013
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster algebras and related topics
- Place of Presentation
  MFO, Oberwolfach, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Wonder of sine-Gordon Y-system2013
- Author(s)
  中西知樹
- Organizer
  日本数学会2013年度秋期総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Wonder of sine-Gordon Y-system2013
- Author(s)
  Tomoki Nakanishi
- Organizer
  Algebra, Combinatorics and Representation Theory: in memory of Andrei Zelevinsky
- Place of Presentation
  Northeastern University, Boston, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Wonder of sine-Gordon Y-systems2013
- Author(s)
  Tomoki NAKANISHI
- Organizer
  Bethe Ansatz, Quantum Groups and Beyond
- Place of Presentation
  京都大学数理解析研究所, 京都(招待講演)
- Year and Date
  2013-03-09
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] Wonder of sine-Gordon Y-system2013
- Author(s)
  中西知樹
- Organizer
  Algebra, Combinatorics and Representation Theory:　in honor of the 60th birthday of Andrei Zelevinsky,
- Place of Presentation
  Northeastern University, Boston, USA
- Invited
- Data Source
  KAKENHI-PROJECT-24540203
[Presentation] Wonder of sine-Gordon Y-system2013
- Author(s)
  Tomoki Nakanishi
- Organizer
  Infinite Analysis 13: Bethe ansatz, quantum groups and beyond
- Place of Presentation
  京大
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Classical and quantum dilogarithm identities2012
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop: Representation theory of Chevalley groups and related topics(招待講演)
- Place of Presentation
  名大
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2012
- Author(s)
  Tomoki NAKANISHI
- Organizer
  Cluster Algebras in Combinatorics, Algebra, and Geometry
- Place of Presentation
  Mathematical Sciences Research Institute, Berkeley, U.S.A.(招待講演)
- Year and Date
  2012-10-30
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type2012
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster Algebras in Combinatorics, Algebra, and Geometry
- Place of Presentation
  MSRI, Berkeley, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] T-systems, Y-systems, and cluster algebras2011
- Author(s)
  Tomoki Nakanishi
- Organizer
  Worskhop: Cluster algebras, representation theory, and Poisson geometry(招待講演)
- Place of Presentation
  バンフ数学研究所
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Classical and quantum dilogarithm identities I-III2011
- Author(s)
  Tomoki Nakanishi
- Organizer
  IA11 Winter School : Quantum cluster algebras and related topics
- Place of Presentation
  大阪大学理学部(大阪府)(招待講演)
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] T-systems, Y-systems, and cluster algebras2011
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop: Cluster algebras and statistical physics(招待講演)
- Place of Presentation
  ブラウン大
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] T-systems, Y-systems, and cluster algebras2011
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop: ISLAND 4 Tropical geometry and integrable systems(招待講演)
- Place of Presentation
  グラスゴー大
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] 団代数とその応用2011
- Author(s)
  中西　知樹
- Organizer
  日本数学会(招待講演)
- Place of Presentation
  信州大
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Classical and quantum dilogarithm identities2011
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop: Inifnite Analysis 11 Winter School on Quantum cluster algebras(招待講演)
- Place of Presentation
  阪大
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] T and Y-systems, dilogarithm identities and cluster algebras : no simply laced case2010
- Author(s)
  井上玲,伊山修, B. Keller,国場敦夫,中西知樹
- Organizer
  日本数学会
- Place of Presentation
  慶応大学矢上キャンパス
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21540209
[Presentation] T and Y-systems, dilogarithm identities and cluster algebras : nonsimply laced case2010
- Author(s)
  井上玲, 伊山修, B.Keller, 国場敦夫, 中西知樹
- Organizer
  日本数学会
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21540209
[Presentation] Dilogarithm identities in conformal field theory and cluster algebra2010
- Author(s)
  Tomoki Nakanishi
- Organizer
  Quantum dilogarithm and quantum Teichmuller theory
- Place of Presentation
  Aarhus, Denmark
- Data Source
  KAKENHI-PROJECT-19540021
[Presentation] Dilogarithm identities and cluster algebras2010
- Author(s)
  T.Nakanishi
- Organizer
  日本数学会年会
- Place of Presentation
  慶応大学
- Data Source
  KAKENHI-PROJECT-19540021
[Presentation] T and Y-systems, dilogarithm identities and cluster algebras : nonsimply laced case2010
- Author(s)
  R.Inoue, O.lyama, B.Keller, A.Kuniba, T.Nakanishi
- Organizer
  日本数学会年会
- Place of Presentation
  慶応大学
- Data Source
  KAKENHI-PROJECT-19540021
[Presentation] T-systemの周期性について2009
- Author(s)
  中西知樹
- Organizer
  日本数学会年会
- Place of Presentation
  東京
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-19540021
[Presentation] T-systemの周期性について2009
- Author(s)
  中西知樹
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学, 東京
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-18540024
[Presentation] Q-system, T-system, and Y-system, Crystals and Tropical Combinatorics2008
- Author(s)
  T. Nakanishi
- Organizer
  関西セミナーハウス
- Place of Presentation
  京都
- Year and Date
  2008-08-29
- Data Source
  KAKENHI-PROJECT-18540024
[Presentation] Q-system, T-system, and Y-system2008
- Author(s)
  中西知樹
- Organizer
  Crystals and Tropical Combinatorics
- Place of Presentation
  京都
- Year and Date
  2008-08-29
- Data Source
  KAKENHI-PROJECT-19540021
[Presentation] Q-system, T-system, and Y-system2008
- Author(s)
  中西知樹
- Organizer
  Crystals and Tropical Combinatorics
- Place of Presentation
  関西セミナーハウス, 京都
- Year and Date
  2008-08-29
- Data Source
  KAKENHI-PROJECT-18540024
[Presentation] Exact WKB analysis and cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  4TH Workshop on Cominatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion
- Place of Presentation
  Laboratoire J.-V. Poncelet, Steklov Mathematical Institute, and the Higher School of Economics, Moscow
- Year and Date
  2014-05-26 – 2014-05-31
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] On generalized cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  Conference on strings, quivers and cluster algebras in mathematical physics
- Place of Presentation
  KIAS, Seoul, Korea
- Year and Date
  2014-12-18 – 2014-12-22
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] On generalized cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  Conference on strings, quivers and cluster algebras in mathematical physics
- Place of Presentation
  KIAS, Seoul
- Year and Date
  2014-12-18 – 2014-12-22
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type
- Author(s)
  Tomoki Nakanishi
- Organizer
  Cluster Algebras in Combinatorics, Algebra, and Geometry
- Place of Presentation
  MSRI, Berkeley, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Exact WKB analysis and cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  Combinatorial Representation theory
- Place of Presentation
  Centre de recherches mathematiques - CRM - Universite de Montreal
- Year and Date
  2014-04-21 – 2014-04-25
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Wonder of sine-Gordon Y-system
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop "Algebra, Combinatorics and Representation Theory: in honor of the 60th birthday of Andrei Zelevinsky"
- Place of Presentation
  Northeastern Univ, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Diagrammatic description of c-vectors and d-vectors in cluster algebras of finite type
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop "String theory, integrable systems and representation theory"
- Place of Presentation
  Kyoto
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Exact WKB analysis and cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  4TH Workshop on Cominatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion
- Place of Presentation
  Steklov Mathematical Institute and the Higher School of Economics, Moscow, Russia
- Year and Date
  2014-05-26 – 2014-05-31
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Cluster algebras and Y-systems
- Author(s)
  Tomoki Nakanishi
- Organizer
  Summer School on Quantum Groups and Integrability - Algebraic, Analytic and Geometric Aspects
- Place of Presentation
  Universtat Hamburg
- Year and Date
  2014-07-21 – 2014-07-25
- Invited
- Data Source
  KAKENHI-PROJECT-23540012
[Presentation] Exact WKB analysis and cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  Combinatorial representation theory
- Place of Presentation
  Universite de Montreal, Canada
- Year and Date
  2014-04-21 – 2014-04-25
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Exact WKB analysis and cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop "Geometry, physics and representation theory"
- Place of Presentation
  Nagoya
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Wonder of sine-Gordon Y-systems
- Author(s)
  Tomoki Nakanishi
- Organizer
  Infinite Analysis 13: Bethe ansatz, quantum groups and beyond
- Place of Presentation
  Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Wonder of sine-Gordon Y-system
- Author(s)
  T. Nakanishi
- Organizer
  Algebra, Combinatorics and Representation Theory: in memory of Andrei Zelevinsky
- Place of Presentation
  Northeastern University, Boston, USA
- Invited
- Data Source
  KAKENHI-PROJECT-24340003
[Presentation] Exact WKB analysis and cluster algebras
- Author(s)
  Tomoki Nakanishi
- Organizer
  Workshop "Cluster algebras and related topics"
- Place of Presentation
  Oberwolfach, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-23340007
[Presentation] Cluster algebras and Y-systems
- Author(s)
  Tomoki Nakanishi
- Organizer
  Summer School on Quantum Groups and Integrability - Algebraic, Analytic and Geometric Aspects
- Place of Presentation
  Universtat Hamburg, Germany
- Year and Date
  2014-07-21 – 2014-07-25
- Invited
- Data Source
  KAKENHI-PROJECT-23340007

1. TSUCHIYA Akihiro (90022673)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
2. HAYASHI Takahiro (60208618)

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3. AOMOTO Kazuhiko (00011495)

# of Collaborated Projects: 7 results

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4. OKADA Soichi (20224016)

# of Collaborated Projects: 6 results

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5. OHTA Hiroshi (50223839)

# of Collaborated Projects: 5 results

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6. KUNIBA Atsuo (70211886)

# of Collaborated Projects: 5 results

# of Collaborated Products: 15 results
7. AWATA Hidetoshi (40314059)

# of Collaborated Projects: 4 results

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8. KANNO Hiroaki (90211870)

# of Collaborated Projects: 4 results

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9. KIMURA Yoshihumi (70169944)

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10. ISHIKAWA Masao (40243373)

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11. YAMADA Yasuhiko (00202383)

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13. MIYAKE Masatake (70019496)

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20. MORI Izuru (50436903)

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34. YAMAZAKI Rei

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# of Collaborated Products: 2 results

NAKANISHI Tomoki 中西 知樹

中西 知樹 ナカニシ トモキ

中西 友樹 ナカニシ トモキ

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団代数理論と応用の研究Principal Investigator

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Integration of cluster algebras and scattering diagramsPrincipal Investigator

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Study of new algebraic and combinatorial structure in integrable systemsPrincipal Investigator

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Study of foundation and applications of cluster algebrasPrincipal Investigator

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Representations of quantum groups and quantum integrable systemsPrincipal Investigator

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NAKANISHI Tomoki 中西知樹

中西知樹ナカニシトモキ

中西友樹ナカニシトモキ