カーナハン スコット　ファイレイ(カーナハン スコット　ファイレイ)

所属
数理物質系
職名
准教授
科研費番号
10600538
URL
研究キーワード
頂点代数、ムーンシャイン、リー代数、代数幾何
研究課題
New directions in vertex algebras and moonshine2022 -- 2025カーナハン スコット　ファイレイ日本学術振興会/基盤研究(C)4,160,000円
Beyond Generalized Moonshine2017 -- 2019カーナハン スコット　ファイレイ日本学術振興会/若手研究(B)1,950,000円
取得学位
2007-05Ph. D.University of California, Berkeley
論文
  • Monstrous moonshine over the integers
    carnahan scott huai lei
    代数学シンポジウム関連情報集, 2020-02
  • Building Vertex Algebras from Parts
    Carnahan Scott
    COMMUNICATIONS IN MATHEMATICAL PHYSICS/373(1)/pp.1-43, 2020-01
  • A Self-Dual Integral Form of the Moonshine Module
    Carnahan Scott
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS/15, 2019
  • Monstrous moonshine over Z?
    carnahan scott huai lei
    RIMS Kokyuroku 代数的組合せ論および有限群・頂点作用素代数とその表現の研究/2086/pp.91-98, 2018
  • Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions
    Carnahan Scott; Komuro Takahiro; Urano Satoru
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS/14, 2018
  • 51 constructions of the Moonshine module
    Carnahan Scott
    COMMUNICATIONS IN NUMBER THEORY AND PHYSICS/12(2)/pp.305-334, 2018
  • Fricke Lie algebras and the genus zero property in Moonshine
    carnahan scott huai lei
    Journal of Physics A: Mathematical and Theoretical/50(40), 2017-06
  • Generalized Moonshine
    carnahan scott huai lei
    第２８回有限群論草津セミナー報告集/pp.43-48, 2016-11
  • EQUIVARIANT INTERTWINING OPERATORS FOR TWISTED MODULES (Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics)
    Carnahan Scott
    数理解析研究所講究録/1965/pp.21-29, 2015-10
    CiNii
  • MONSTROUS LIE ALGEBRAS (Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics)
    CARNAHAN SCOTT
    数理解析研究所講究録/1872/pp.83-93, 2014-01
    CiNii
会議発表等
  • Monstrous Moonshine for integral group rings
    carnahan scott huai lei
    Conference in finite groups and vertex algebras/2022-12-19--2022-12-23
  • Vertex algebras over commutative rings
    carnahan scott huai lei
    Vertex Operator Algebras and Related Topics in Kumamoto/2020-02-11--2020-02-11
  • Monstrous Moonshine over the Integers
    カーナハン スコット　ファイレイ
    代数学シンポジウム/2019-09-02--2019-09-02
  • Moonshine over Z
    carnahan scott huai lei
    The Mathematical Foundations of Conformal Field Theory and Related Topics/2019-06-13--2019-06-13
  • More Modular Moonshine
    carnahan scott huai lei
    Workshop on Moonshine/2018-09-13--2018-09-13
  • More Modular Moonshine
    carnahan scott huai lei
    30th Kusatsu Group Theory Seminar/2018-07-28--2018-07-28
  • More Modular Moonshine
    carnahan scott huai lei
    RIMS Gasshuku-style seminar on Conformal Field Theory/2018-07-02--2018-07-02
  • Extended Monstrous Moonshine
    carnahan scott huai lei
    Pan-Asia Number Theory Conference 2018/2019-06-27--2019-06-27
  • Extended Monstrous Moonshine
    carnahan scott huai lei
    Vertex operator algebras, number theory, and related topics/2018-06-14--2018-06-14
  • Moonshine over Z
    carnahan scott huai lei
    Finite Groups, VOAs, and Related Topics 2018/2018-03-13--2018-03-13
  • Generalized Moonshine
    carnahan scott huai lei
    Trends in Modular forms/2017-12-20--2017-12-20
  • A self-dual integral form for the Moonshine Module
    carnahan scott huai lei
    Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras/2017-12-12--2017-12-12
  • Generalized Moonshine
    carnahan scott huai lei
    Conference on Number Theory, Geometry, Moonshine & Strings/2017-09-07--2017-09-07
  • 51 constructions of the Moonshine module
    carnahan scott huai lei
    Workshop on Calabi-Yau Manifolds: Arithmetic, Geometry, and Physics/2017-08-07--2017-08-07
  • Generalized Monstrous Moonshine
    carnahan scott huai lei
    Nankai Symposium on Physics, Geometry, and Number Theory/2017-07-31--2017-07-31
  • Monstrous Lie Algebras
    carnahan scott huai lei
    Taitung Workshop on group theory, VOA, and algebraic combinatorics/2013-3-27--2013-3-27
  • Monstrous Lie Algebras
    carnahan scott huai lei
    Workshop on finite groups and their representations, vertex operator algebras, and algebraic combinatorics/2013-01-07--2013-01-10
  • Recent Advances in Moonshine
    carnahan scott huai lei
    日本数学会2017年度年会/2017-03-25--2017-03-25
  • Generalized Monstrous Moonshine
    carnahan scott huai lei
    Moonshine and K3 surfaces/2016-11-07--2016-11-07
  • Generalized Monstrous Moonshine
    carnahan scott huai lei
    Modular forms in String Theory/2016-09-27--2016-09-27
  • Generalized Monstrous Moonshine
    carnahan scott huai lei
    Automorphic Forms, Mock Modular Forms, and String Theory/2016-09-02--2016-09-02
  • Rationality of orbifold CFTs and Generalized Moonshine
    carnahan scott huai lei
    Tsuda College And OIST Joint Workshop On Calabi–Yau Varieties: Arithmetic, Geometry And Physics/2016-08-01--2016-08-01
  • Generalized Moonshine
    carnahan scott huai lei
    第24回有限群論草津セミナー/2016-07-30--2016-07-30
  • A proof of generalized moonshine.
    carnahan scott huai lei
    AMS spring eastern sectional meeting, special session on vertex algebra and related algebraic and geometric structures/2016-03-19--2016-03-19
  • Recent progress in generalized moonshine
    carnahan scott huai lei
    LMS-EPSRC Durham Symposium on New Moonshines, Mock Modular Forms and String Theory/2015-08-07--2015-08-07
  • さらに表示...
担当授業科目
2024-10 -- 2025-02代数学特別研究VA筑波大学
2024-04 -- 2024-08代数学特別研究IB筑波大学
2024-04 -- 2024-08代数学特別研究VB筑波大学
2024-10 -- 2025-02代数学特別研究IA筑波大学
2024-04 -- 2024-08数学セミナー筑波大学
2024-10 -- 2025-02数学セミナー筑波大学
2024-04 -- 2024-08代数学特別研究IIIB筑波大学
2024-10 -- 2025-02代数学特別研究IIA筑波大学
2024-10 -- 2025-02代数学特別研究IVA筑波大学
2024-10 -- 2025-02代数学特別研究IIIA筑波大学
さらに表示...

(最終更新日: 2024-08-29)