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Researcher List >> Nakashima Toshiki
 

Nakashima Toshiki

 
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NameNakashima Toshiki
AffiliationSophia University
SectionFaculty of Science and Technology, Department of Information and Communication Sciences
Job titleProfessor
Degree博士（理学）(京都大学)
Research funding number60243193
J-Global ID200901093297244007

Profile

(Subject of research)
Representation theory of quantum groups--geometric crystal,crystal base

Research Interests

 
Quantum group ,crystal base ,geometric crystal ,Cluster algebra ,categorification

Research Areas

 
  • Natural sciences / Algebra / Quantum group, Representation theory, Crystal base, Geometric crystal, Cluster algebra

Education

 
Apr 1988
 - 
Mar 1992
Kyoto University  
 
Apr 1984
 - 
Mar 1988
The University of Tokyo Faculty of Science 
 

Papers

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An Algorithm for Berenstein–Kazhdan Decoration Functions and Trails for Classical Lie Algebras
Yuki Kanakubo   Gleb Koshevoy   Toshiki Nakashima   
International Mathematics Research Notices   2024(4) 3223-3277   Feb 2024   [Refereed]
 
HALF POTENTIAL ON GEOMETRIC CRYSTALS AND CONNECTEDNESS OF CELLULAR CRYSTALS
YUKI KANAKUBO   TOSHIKI NAKASHIMA   
Transformation Groups   28(1) 327-373   Dec 2022   [Refereed]
 
An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations
Yuki Kanakubo   Gleb Koshevoy   Toshiki Nakashima   
Journal of Algebra   608 106-142   Oct 2022   [Refereed]
 
Explicit forms of polyhedral realizations of crystal bases associated with adapted sequences
T.Nakashima (with   Y.Kanakubo   
Toyama Mathematical Journal   42 1-28   2021   [Refereed][Invited]
 
Adapted Sequences and Polyhedral Realizations of Crystal Bases for highest weight modules
Toshiki Nakashima   with Yuki kanakubo   
Journal of Algebra   574 327-374   2021   [Refereed]

Misc.

12>
 
 
A survey on categorified crystal structure on localized quantum coordinate rings
Toshiki Nakashima   
RIMS Kôkyûroku   (2258) 20-36   Jun 2023   [Invited]
 
CRYSTAL STRUCTURE ON LOCALIZED QUANTUM COORDINATE RINGS
Toshiki Nakashima   
RIMS Kôkyûroku   (2234)    Nov 2022   [Invited]
 
団代数と結晶基底 (特集 団代数をめぐって : 新たな共通構造の認識)
中島 俊樹   
数理科学   53(3) 21-26   Mar 2015
 
幾何クリスタルと可積分系(可積分系数理の眺望)
柏原 正樹   中島 俊樹   尾角 正人   
数理解析研究所講究録   1541 150-165   Apr 2007
 
書評 J. Hong and S.-J. Kang: Introduction to Quantum Groups and Crystal Bases (Grad. Stud. Math., 42)
中島俊樹   
数学   58(1) 102-111   Jan 2006   [Refereed][Invited]

Books and Other Publications

12>
 
 
中島 俊樹(Part:Sole author)
サイエンス社   25 Apr 2019      
 
中島 俊樹(Part:Others)
サイエンス社   1 Mar 2015      
 
中島 俊樹(Part:Others)
日本評論社   1 Oct 2009      
 
Nakashima Toshiki(Part:Joint edit)
Mathematical Society of Japan   Jun 2009   (ISBN:9784931469518)   
 
中島 俊樹(Part:Others)
日本数学会   Jan 2006   

Presentations

12345>
 
 
Toshiki Nakashima   
Math SWU seminar   16 Oct 2023   Srinakharinwirot University   [Invited]
 
Toshiki Nakashima   
Math CU seminar   12 Oct 2023   Chulalongkorn University   [Invited]
 
Toshiki Nakashima   
13th Southeastern Lie Theory Workshop: "Combinatorial Representation Theory of Algebras and Applications"   12 May 2023   [Invited]
 
Toshiki Nakashima   
18 Mar 2023   
 
Toshiki Nakashima   
7 Nov 2022   [Invited]

Professional Memberships

 
 
   
 
日本数学会

Research Projects

12345>
 
 
幾何結晶とクラスター代数への結晶基底からのアプローチ
Project Year: Apr 2020 - Mar 2025
 
Project Year: Apr 2015 - Mar 2020
 
Representation theory of Iwahori-Hecke algebras and reflection groups
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
Gomi Yasushi NAKASHIMA Toshiki SHINODA Ken-ichi Ma. Louise Antonette N. De Las Penas Loyola Mark L. 
Project Year: Apr 2011 - Mar 2016
 
Algebraic analysis of infinite symmetry
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
KASHIWARA Masaki ARIKI Susumu TANISAKI Toshiyuki NAKASHIMA Toshiki KATO Syu MIWA Tetsuji SCHAPIRA Pierre KANG Seok-Jin VILONEN Kari D'AGNOLO Andrea 
Project Year: Apr 2010 - Mar 2015
 
Project Year: Apr 2010 - Mar 2015
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