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Last Updated :2025/02/05

Hiroki Shimakura

Faculty of Science
Professor

Researcher information

■ Degree
  • (数理科学), The University of Tokyo
■ Research Keyword
  • Algebraic combinatorics
  • Finite group theory
  • Vertex operator algebras
■ Field Of Study
  • Natural sciences, Algebra, 頂点作用素代数

Career

■ Career
  • Apr. 2023 - Present
    Fukuoka University, Faculty of Science Department of Applied Mathematics, Professor
  • Apr. 2012 - Mar. 2023
    Tohoku University, Graduate School of Information Sciences, 准教授
  • Apr. 2009 - Mar. 2012
    Aichi University of Education, Faculty of Education, 専任講師
  • Apr. 2008 - Mar. 2009
    Aichi University of Education, Faculty of Education, 助教
  • Apr. 2007 - Mar. 2008
    Chiba University, 理学研究科, 日本学術振興会特別研究員(PD)
  • Apr. 2005 - Mar. 2007
    Hokkaido University, 理学研究院, 学術研究員(COE)
  • Apr. 2003 - Mar. 2005
    The University of Tokyo, Graduate School of Mathematical Sciences, 日本学術振興会特別研究員(DC2) (2004年4月からPDに切り替え)

Research activity information

■ Paper
  • Automorphism Groups of Parafermion Vertex Operator Algebras: General Case
    Ching Hung Lam; Xingjun Lin; Hiroki Shimakura
    International Mathematics Research Notices, 01 Nov. 2024, 2024(22):13912 - 13930, Refereed
  • Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras
    Ching Hung Lam; Hiroki Shimakura
    JOURNAL OF PURE AND APPLIED ALGEBRA, Feb. 2024, 228(2), Refereed
  • Automorphism Groups and Uniqueness of Holomorphic Vertex Operator Algebras of Central Charge 24
    Koichi Betsumiya; Ching Hung Lam; Hiroki Shimakura
    Communications in Mathematical Physics, May 2023, 399(3):1773 - 1810, Refereed
  • Vertex operator algebras with positive central charges whose dimensions of weight one spaces are 8 and 16
    Xiangyu Jiao; Kiyokazu Nagatomo; Yuichi Sakai; Hiroki Shimakura
    Journal of Algebra, 15 Jan. 2023, 614:330 - 361, Refereed
  • Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries
    Koichi Betsumiya; Ching Hung Lam; Hiroki Shimakura
    Israel Journal of Mathematics, 2023, Refereed
  • Schellekens' list and the very strange formula
    Jethro van Ekeren; Ching Hung Lam; Sven Moller; Hiroki Shimakura
    ADVANCES IN MATHEMATICS, Mar. 2021, 380, Refereed
  • INERTIA GROUPS AND UNIQUENESS OF HOLOMORPHIC VERTEX OPERATOR ALGEBRAS
    Ching Hung Lam; Hiroki Shimakura
    TRANSFORMATION GROUPS, Dec. 2020, 25(4):1223 - 1268, Refereed
  • Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the-1-isometries
    Hiroki Shimakura
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2020, 72(4):1119 - 1143, Refereed
  • On orbifold constructions associated with the Leech lattice vertex operator algebra
    Ching Hung Lam; Hiroki Shimakura
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Mar. 2020, 168(2):261 - 285, Refereed
  • REVERSE ORBIFOLD CONSTRUCTION AND UNIQUENESS OF HOLOMORPHIC VERTEX OPERATOR ALGEBRAS
    Ching Hung Lam; Hiroki Shimakura
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Nov. 2019, 372(10):7001 - 7024, Refereed
  • 71 HOLOMORPHIC VERTEX OPERATOR ALGEBRAS OF CENTRAL CHARGE 24
    Lam Ching Hung; Shimakura Hiroki
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, Mar. 2019, 14(1):87 - 118, Refereed
  • Z3-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster
    Hsian-Yang Chen; Ching Hung Lam; Hiroki Shimakura
    Mathematische Zeitschrift, 01 Feb. 2018, 288(1-2):75 - 100, Refereed
  • CONSTRUCTION OF HOLOMORPHIC VERTEX OPERATOR ALGEBRAS OF CENTRAL CHARGE 24 USING THE LEECH LATTICE AND LEVEL p LATTICES
    Lam Ching Hung; Shimakura Hiroki
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, Mar. 2017, 12(1):39 - 70
  • A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type A(6,7)
    Ching Hung Lam; Hiroki Shimakura
    LETTERS IN MATHEMATICAL PHYSICS, Nov. 2016, 106(11):1575 - 1585, Refereed
  • Classification of vertex operator algebras of class S-4 with minimal conformal weight one
    Hiroyuki Maruoka; Atsushi Matsuo; Hiroki Shimakura
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2016, 68(4):1369 - 1388, Refereed
  • Classification of the vertex operator algebras V-L(+) of class S-4
    Tomonori Hashikawa; Hiroki Shimakura
    JOURNAL OF ALGEBRA, Jun. 2016, 456:151 - 181, Refereed
  • Application of a ℤ3-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices
    Daisuke Sagaki; Hiroki Shimakura
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Mar. 2016, 368(3):1621 - 1646, Refereed
  • Orbifold Construction of Holomorphic Vertex Operator Algebras Associated to Inner Automorphisms
    Ching Hung Lam; Hiroki Shimakura
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, Mar. 2016, 342(3):803 - 841, Refereed
  • Automorphisms of Niemeier lattices for Miyamoto’s Z3-orbifold construction
    Motohiro Ishii; Daisuke Sagaki; Hiroki Shimakura
    MATHEMATISCHE ZEITSCHRIFT, Jun. 2015, 280(1-2):55 - 83, Refereed
  • Classification of holomorphic framed vertex operator algebras of central charge 24
    Ching Hung Lam; Hiroki Shimakura
    American Journal of Mathematics, 2015, 137(1):137 - 111, Refereed
  • The automorphism group of the ℤ2-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32
    Hiroki Shimakura
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Mar. 2014, 156(2):343 - 361, Refereed
  • ON ISOMORPHISM PROBLEMS FOR VERTEX OPERATOR ALGEBRAS ASSOCIATED WITH EVEN LATTICES
    Hiroki Shimakura
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Oct. 2012, 140(10):3333 - 3348, Refereed
  • CLASSIFICATION OF ISING VECTORS IN THE VERTEX OPERATOR ALGEBRA V-L(+)
    Hiroki Shimakura
    PACIFIC JOURNAL OF MATHEMATICS, Aug. 2012, 258(2):487 - 495, Refereed
  • Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24
    Ching Hung Lam; Hiroki Shimakura
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Mar. 2012, 104(Part 3):540 - 576, Refereed
  • An E-8-approach to the moonshine vertex operator algebra
    Hiroki Shimakura
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Apr. 2011, 83(Part 2):493 - 516, Refereed
  • Frame Stabilizers for Framed Vertex Operator Algebras Associated to Lattices Having 4-Frames
    Ching Hung Lam; Hiroki Shimakura
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2009, (24):4547 - 4577, Refereed
  • Lifts of automorphisms of vertex operator algebras in simple current extensions
    Hiroki Shimakura
    MATHEMATISCHE ZEITSCHRIFT, Jul. 2007, 256(3):491 - 508, Refereed
  • Ising Vectors in the Vertex Operator Algebra V(Lambda)(+) Associated with the Leech Lattice Lambda
    Ching Hung Lam; Hiroki Shimakura
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, :rnm132, Refereed
  • The automorphism groups of the vertex operator algebras V-L(+): general case
    H Shimakura
    MATHEMATISCHE ZEITSCHRIFT, Apr. 2006, 252(4):849 - 862, Refereed
  • The automorphism group of the vertex operator algebra V-L(+) for an even lattice L without roots
    H Shimakura
    JOURNAL OF ALGEBRA, Oct. 2004, 280(1):29 - 57, Refereed
  • Decompositions of the moonshine module with respect to subVOAs associated to codes over Z(2k)
    H Shimakura
    JOURNAL OF ALGEBRA, May 2002, 251(1):308 - 322, Refereed
■ MISC
  • Orbifold constructions associated with the Leech lattice vertex operator algebra
    Shimakura, Hiroki
    RIMS Kokyuroku, Aug. 2018, 2086:154 - 162
  • On orbifold constructions of holomorphic vertex operator algebras of central charge 24 associated to inner automorphisms—有限群とその表現,頂点作用素代数,代数的組合せ論の研究 : RIMS研究集会報告集
    Shimakura, Hiroki
    RIMS Kokyuroku, Oct. 2015, 1965(1965):5 - 12
  • 中心電荷24の枠付頂点作用素代数について (有限群とその表現,頂点作用素代数,代数的組合せ論の研究)
    島倉, 裕樹
    数理解析研究所講究録, Jan. 2014, 1872(1872):20 - 29
  • 符号,格子と頂点作用素代数における類似 (デザイン、符号、グラフおよびその周辺)
    シマクラ ヒロキ
    数理解析研究所講究録, Jul. 2013, 1844(1844):90 - 102
  • Toward the classification of holomorphic framed vertex operator algebras of central charge—Research into vertex operator algebras, finite groups and combinatorics
    Shimakura, Hiroki
    数理解析研究所講究録, Aug. 2011, 1756(1756):73 - 80
  • Even lattices obtained from doubly even codes and VOAs obtained from even lattices
    SHIMAKURA, Hiroki
    数理解析研究所講究録, Jul. 2009, 1656:74 - 83
  • Frame stabilizers for framed vertex operator algebras associated to lattices
    島倉 裕樹
    第25回代数的組合せ論シンポジウム報告集, 2009, :86 - 94
  • On graphs associated with the Griess algebras of VOAs
    Shimakura, Hiroki
    数理解析研究所講究録, Jul. 2007, 1564:112 - 118
  • 頂点作用素代数$V_L^+$ と構成法 B で得られる偶格子(代数的組合せ論とその周辺)
    Shimakura, Hiroki
    数理解析研究所講究録, Mar. 2006, 1476:188 - 195
  • 頂点作用素代数VL+とモンスターの極大2-局部分群について—代数的組合せ論
    島倉 裕樹
    数理解析研究所講究録, Jul. 2005, 1440(1440):127 - 132
  • 頂点作用素代数VL〔+〕の自己同型群—Lie Theoryのひろがりと新たな進展 研究集会報告集
    島倉 裕樹
    数理解析研究所講究録, Dec. 2003, 1348(1348):33 - 43
  • Moonshine module and codes over Z/2kZ〔和文〕
    Shimakura, Hiroki
    数理解析研究所講究録, Sep. 2001, 1228:95 - 98
  • The calculation of the McKay-Thompson series for a 4A element of the Monster based on a new frame〔和文〕
    Shimakura, Hiroki
    数理解析研究所講究録, Jun. 2001, 1218:131 - 135
■ Affiliated academic society
  • 日本数学会
■ Research Themes
  • 頂点作用素代数を用いた有限群のＹ表現の研究
    日本学術振興会, 科学研究費助成事業, 基盤研究(C)
    福岡大学
    01 Apr. 2024 - 31 Mar. 2028
  • 国際共同研究による頂点代数の理論の深化
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
    Tokyo Woman's Christian University
    07 Oct. 2019 - 31 Mar. 2025
  • 中心電荷２４の正則頂点作用素代数の統一的な構成と自己同型群の研究
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C)
    Tohoku University
    01 Apr. 2020 - 31 Mar. 2023
  • 逆軌道体構成法を用いた中心電荷２４の正則頂点作用素代数の一意性の研究
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C)
    Tohoku University
    01 Apr. 2017 - 31 Mar. 2021
  • 軌道体構成法による中心電荷２４の正則頂点作用素代数の構成
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B)
    Tohoku University
    01 Apr. 2014 - 31 Mar. 2017
  • 符号、格子との類似を基にした頂点作用素代数の研究とその情報理論への応用
    住友財団, 基礎科学研究助成
    Nov. 2013 - Oct. 2014
  • 中心電荷２４の正則頂点作用素代数の構成と分類
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C)
    2011 - 2013
  • 軌道体構成法によるムーンシャイン頂点作用素代数の構成
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C)
    Aichi University of Education
    2008 - 2011
  • 頂点作用素代数とモンスターアマルガムを用いたモンスター単純群の研究
    日本学術振興会, 優秀若手研究者海外派遣事業 (常勤研究者)
    Mar. 2010 - Jul. 2010
  • 散在型有限単純群が作用する頂点作用素代数の構成
    日本学術振興会, 科学研究費助成事業 特別研究員奨励費, 特別研究員奨励費
    千葉大学
    2007 - 2009
  • 頂点作用素代数の自己同型群としての散在型有限単純群の実現
    日本学術振興会, 科学研究費助成事業 若手研究(B), 若手研究(B)
    北海道大学
    2006 - 2008
  • バイモンスターのコクセター群の剰余群としての表現の頂点作用素代数上での実現
    日本学術振興会, 科学研究費助成事業 特別研究員奨励費, 特別研究員奨励費
    東京大学
    2003 - 2004