CARNAHAN Scott ＣＡＲＮＡＨＡＮＳｃｏｔｔ

… Alternative Names

Carnahan Scott CARNAHAN Scott

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Researcher Number	10600538
Other IDs
Affiliation (Current)	2025: 筑波大学, 数理物質系, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 筑波大学, 数理物質系, 准教授 2017 – 2019: 筑波大学, 数理物質系, 准教授 2012 – 2014: 筑波大学, 数理物質系, 助教
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related
Keywords	Principal Investigator ムーンシャイン / 代数 / vertex operator algebra / weak Hopf algebra / vertex algebra / moonshine / モンスター群 / 頂点代数 / 環論 / 代数学 / 群スケーム / モジュラー形式 / 頂点作用素代数

Research Projects
(3 results)
Research Products
(31 results)

New directions in vertex algebras and moonshinePrincipal Investigator
- Principal Investigator
  
  CARNAHAN Scott
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Tsukuba
Beyond Generalized MoonshinePrincipal Investigator
- Principal Investigator
  
  Carnahan Scott
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Generalized MoonshinePrincipal Investigator
- Principal Investigator
  
  CARNAHAN Scott
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba

All 2023 2022 2020 2019 2018 2017 2014 2013 2012

All Journal Article Presentation

[Journal Article] Monstrous Moonshine for Integral Group Rings2023
- Author(s)
  Carnahan Scott、Urano Satoru
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 未定 Issue: 4 Pages: 2748-2789
- DOI
  10.1093/imrn/rnad028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03264
[Journal Article] Building Vertex Algebras from Parts2020
- Author(s)
  Scott Carnahan
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 373 Issue: 1 Pages: 1-36
- DOI
  10.1007/s00220-019-03607-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14152
[Journal Article] A Self-Dual Integral Form of the Moonshine Module2019
- Author(s)
  Scott Carnahan
- Journal Title
  
  SIGMA
  
  Volume: 15, no 030 Pages: 1-36
- DOI
  10.3842/sigma.2019.030
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14152
[Journal Article] 51 constructions of the Moonshine module2018
- Author(s)
  Carnahan Scott
- Journal Title
  
  Communications in Number Theory and Physics
  
  Volume: 12 Issue: 2 Pages: 305-334
- DOI
  10.4310/cntp.2018.v12.n2.a3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14152
[Journal Article] Moonshine over Z?2018
- Author(s)
  Carnahan Scott
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2086 Pages: 91-98
- Open Access
- Data Source
  KAKENHI-PROJECT-17K14152
[Journal Article] Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions2018
- Author(s)
  Carnahan Scott、University of Tsukuba, Japan、Komuro Takahiro、Urano Satoru、University of Tsukuba, Japan、University of Tsukuba, Japan
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 14 Pages: 1-8
- DOI
  10.3842/sigma.2018.114
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14152
[Journal Article] Monstrous Lie Algebras2014
- Author(s)
  Scott Carnahan
- Journal Title
  
  RIMS講究録
  
  Volume: 1872 Pages: 83-93
- Data Source
  KAKENHI-PROJECT-24740005
[Journal Article] Generalized Moonshine II: Borcherds Products2012
- Author(s)
  Scott Carnahan
- Journal Title
  
  Duke Mathematical Journal
  
  Volume: 161 Issue: 5 Pages: 893-950
- DOI
  10.1215/00127094-1548416
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Monstrous Moonshine for integral group rings2022
- Author(s)
  Scott Carnahan
- Organizer
  Conference in finite groups and vertex algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03264
[Presentation] Moonshine over Z2019
- Author(s)
  Scott Carnahan
- Organizer
  The Mathematical Foundations of Conformal Field Theory and Related Topics, Nankai University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Monstrous Moonshine over the Integers2019
- Author(s)
  Scott Carnahan
- Organizer
  JMS Algebra Symposium, Tohoku University
- Invited
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] More Modular Moonshine2018
- Author(s)
  Carnahan Scott
- Organizer
  RIMS Gasshuku-style seminar on Conformal Field Theory, Kansai Seminar House
- Invited
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] More Modular Moonshine2018
- Author(s)
  Carnahan Scott
- Organizer
  30th Kusatsu Group Theory Seminar, Kusatsu Seminar House
- Invited
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] More Modular Moonshine2018
- Author(s)
  Carnahan Scott
- Organizer
  Workshop on Moonshine, Erwin Schrodinger Institute
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Extended Monstrous Moonshine2018
- Author(s)
  Carnahan Scott
- Organizer
  Pan-Asia Number Theory Conference 2018, IMS, National University of Singapore
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Extended Monstrous Moonshine2018
- Author(s)
  Carnahan Scott
- Organizer
  Vertex operator algebras, number theory, and related topics, Sacramento State University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Generalized Monstrous Moonshine2017
- Author(s)
  Scott Carnahan
- Organizer
  Nankai Symposium on Physics, Geometry, and Number Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] A self-dual integral form for the Moonshine Module.2017
- Author(s)
  Scott Carnahan
- Organizer
  Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] 51 constructions of the Moonshine module2017
- Author(s)
  Scott Carnahan
- Organizer
  Workshop on Calabi-Yau Manifolds: Arithmetic, Geometry, and Physics
- Invited
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Moonshine over Z2017
- Author(s)
  Scott Carnahan
- Organizer
  Finite Groups, VOAs, and Related Topics 2018
- Invited
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Generalized Moonshine2017
- Author(s)
  Scott Carnahan
- Organizer
  Trends in Modular forms
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Generalized Moonshine2017
- Author(s)
  Scott Carnahan
- Organizer
  Conference on Number Theory, Geometry, Moonshine & Strings
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14152
[Presentation] Dong-Li-Mason plus Weil2014
- Author(s)
  Scott Carnahan
- Organizer
  Algebras, Groups and Geometries 2014
- Place of Presentation
  東京大学
- Year and Date
  2014-06-27
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Dong-Li-Mason plus Weil2014
- Author(s)
  Scott Carnahan
- Organizer
  Hualien Workshop on Finite Groups, VOA, Algebraic Combinatorics, and Related Topics
- Place of Presentation
  國立東華大学（台湾）
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Dong-Li-Mason plus Weil2014
- Author(s)
  Scott Carnahan
- Organizer
  Workshop on finite groups and their representations, vertex operator algebras, and algebraic combinatorics
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-12-16
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Introduction to Mathieu Moonshine2014
- Author(s)
  Scott Carnahan
- Organizer
  Workshop on Mathieu Moonshine
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2014-08-25
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Monstrous Lie Algebras2013
- Author(s)
  Scott Carnahan
- Organizer
  Workshop on finite groups and their representations, vertex operator algebras, and algebraic combinatorics
- Place of Presentation
  RIMS, Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Monstrous Lie Algebras2013
- Author(s)
  Scott Carnahan
- Organizer
  Moonshine and Beyond
- Place of Presentation
  仙台
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Monstrous Lie Algebras2013
- Author(s)
  Scott Carnahan
- Organizer
  Taitung workshop on group theory, VOA and algebraic combinatorics
- Place of Presentation
  Taitung University, Taiwan
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Monstrous Lie Algebras2013
- Author(s)
  Scott Carnahan
- Organizer
  Conference on Moonshine, Mock modular forms, and String theory
- Place of Presentation
  Simons Center for Geometry and Physics (アメリカ)
- Invited
- Data Source
  KAKENHI-PROJECT-24740005
[Presentation] Generalized Moonshine mini-course2012
- Author(s)
  Scott Carnahan
- Organizer
  Generalized Moonshine mini-course
- Place of Presentation
  Tokyo Women's Christian University
- Invited
- Data Source
  KAKENHI-PROJECT-24740005

CARNAHAN Scott ＣＡＲＮＡＨＡＮ Ｓｃｏｔｔ

Carnahan Scott CARNAHAN Scott

Research Projects

Research Products

New directions in vertex algebras and moonshinePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Beyond Generalized MoonshinePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Generalized MoonshinePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Monstrous Moonshine for Integral Group Rings2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Building Vertex Algebras from Parts2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A Self-Dual Integral Form of the Moonshine Module2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 51 constructions of the Moonshine module2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Moonshine over Z?2018

Author(s)

Journal Title

Data Source

[Journal Article] Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Monstrous Lie Algebras2014

Author(s)

Journal Title

Data Source

[Journal Article] Generalized Moonshine II: Borcherds Products2012

Author(s)

Journal Title

DOI

Data Source

[Presentation] Monstrous Moonshine for integral group rings2022

Author(s)

Organizer

Data Source

[Presentation] Moonshine over Z2019

Author(s)

Organizer

Data Source

[Presentation] Monstrous Moonshine over the Integers2019

Author(s)

Organizer

Data Source

[Presentation] More Modular Moonshine2018

Author(s)

Organizer

Data Source

[Presentation] More Modular Moonshine2018

Author(s)

Organizer

Data Source

CARNAHAN Scott ＣＡＲＮＡＨＡＮＳｃｏｔｔ