HIKAMI KAZUHIRO
Organization
Faculty of Mathematics Division of Analysis Associate Professor
School of Sciences Department of Mathematics（Joint Appointment）
Graduate School of Mathematics Department of Mathematics（Joint Appointment）
Joint Graduate School of Mathematics for Innovation
（Joint Appointment）
Title
Associate Professor
Degree
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Doctor of Science
Research Interests・Research Keywords
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Research theme：conformal algebra
Keyword：conformal field theory
Research period： 2008.1 - 2011.12
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Research theme：quantum topology
Keyword：quantum invariant, 3-manifold, knots
Research period： 1999.8 - 2011.6
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Research theme：quantum integrable system
Keyword：quantum many-body system, quantum spin chain, quantum group
Research period： 1992.4 - 2000.6
Papers
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Generalized double affine Hecke algebra for double torus Reviewed International journal
Hikami, K
LETTERS IN MATHEMATICAL PHYSICS 114 ( 4 ) 2024.8 （ ISSN:0377-9017 eISSN:1573-0530 ）
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Torus link T(2s,2t) and (s,t)-log VOA International journal
Kazuhiro Hikami, Shoma Sugimoto
arXiv 2023.6
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Non-semisimple invariants and Habiro's series Invited Reviewed International journal
@Anna Beliakova, Kazuhiro Hikami
Topology and Geometry: A Collection of Essays Dedicated to Vladimir G. Turaev 161 - 174 2021.6
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DAHA and skein algebra on surface: double-torus knots Reviewed International journal
Kazuhiro Hikami
Letters in Mathematical Physics 2019.6
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Note on Character Varieties and Cluster Algebras Reviewed International journal
Kazuhiro Hikami
SIGMA 15 003 2019.1
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Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants Reviewed International journal
Kazuhiro Hikami, Jeremy Lovejoy
Commun. Number Theory and Physics 11 ( 2 ) 249 - 272 2017.8
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Braids, complex volume and cluster algebras Reviewed International journal
Kazuhiro Hikami, R. Inoue
Algebraic & Geometric Topology 15 ( 4 ) 2175 - 2194 2015.8
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Torus knots and quantum modular forms Reviewed International journal
Kazuhiro Hikami, Jeremy Lovejoy
Research in the Mathematical Sciences 2 ( 2 ) 2015.1
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Braiding operator via quantum cluster algebra Reviewed International journal
Kazuhiro Hikami, R. Inoue
Journal of Physics A: Mathematical and Theoretical 47 474006 2014.11
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Cluster algebra and complex volume of once-punctured torus bundles and two-bridge links Reviewed International journal
Kazuhiro Hikami, Rei Inoue
Journal of Knot Theory and Its Ramifications 23 ( 1 ) 2014.3
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Enriques Moonshine Reviewed International journal
T. Eguchi, Kazuhiro Hikami
Journal of Physics A: Mathematical and Theoretical 46 ( 31 ) 312001 2013.8
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Twisted elliptic genus for K3 and Borcherds product Reviewed International journal
T. Eguchi, K. Hikami
Letters in Mathematical Physics 102 ( 2 ) 2012.10
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N=2 moonshine Reviewed International journal
T. Eguchi, K. Hikami
Physics Letters B 717 2012.10
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Decomposition of Witten-Reshetikhin-Turaev Invariant: linking pairing and modular forms Invited Reviewed International journal
K. Hikami
Chern-Simons Gauge Theory: 20 Years After AMS/IP Studies in Advanced Mathematics 50 2011.7
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Representations and the Colored Jones Polynomial of a Torus Knot Invited Reviewed International journal
K. Hikami, H. Murakami
Chern-Simons Gauge Theory: 20 Years After AMS/IP Studies in Advanced Mathematics 50 2011.7
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Note on Twisted Elliptic Genus of K3 Surface Reviewed International journal
T. Eguchi, K. Hikami
Physics Letters B 694 2011.3
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On the modularity of the unified WRT invariants of certain Seifert manifolds Reviewed International journal
K. Bringmann, K. Hikami, J. Lovejoy
Advances in Applied Mathematics 46 2011.1
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One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains Reviewed International journal
B. Basu-Mallick, N. Bondyopadhaya, K. Hikami
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 6 ( 91 ) 2010.12
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N=2 Superconformal Algebra and the Entropy of Calabi--Yau Manifolds Reviewed International journal
T. Eguchi, K. Hikami
Letters in Mathematical Physics 92 2010.6
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N=4 superconformal algebra and the entropy of hyperKähler manifolds Reviewed International journal
2010 ( 2 ) 2010.2
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Superconformal Algebras and Mock Theta Functions 2. Rademacher Expansion for K3 Surfaces Reviewed International journal
T. Eguchi, K. Hikami
Communications in Number Theory and Physics 3 2009.6
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Superconformal Algebras and Mock Theta Functions Invited Reviewed International journal
T. Eguchi, K. Hikami
Journal of Physics A: Mathematical and Theoretical 42 2009.1
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Colored Jones Polynomial with Polynomial Growth Reviewed International journal
K. Hikami, H. Murakami
Communications in Contemporary Mathematics 10, Suppl. 1 2008.6
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Duality of Linking Pairing in Arnold's Singularities Reviewed International journal
K. Hikami
Proceedings of Japan Academy 84 Ser. A 2008.6
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Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States Reviewed International journal
K. Hikami
Annals of Physics 323 2007.12
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Asymptotics of the colored Jones polynomial and the A-polynomial Reviewed International journal
K. Hikami
Nuclear Physics B 773 2007.7
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Hecke Type Formula for Unified Witten–Reshetikhin–Turaev Invariants as Higher-Order Mock Theta Functions Reviewed International journal
2007 2007.6
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Generalized Volume Conjecture and the A-Polynomial: the Neumann--Zagier Potential Function as a Classical Limit of Partition Function Reviewed International journal
K. Hikami
Journal of Geometry and Physics 57 2007.6
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Boson-Fermion Duality in SU(m|n) Supersymmetric Haldane-Shastry Spin Chain Reviewed International journal
B. Basu-Mallick, N. Bondyopadhaya, K. Hikami, D. Sen
Nuclear Physics B 782 2007.6
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Quantum invariants, modular forms, and lattice points II Reviewed International journal
K. Hikami
Journal of Mathematical Physics 47 2006.10
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On the Quantum Invariants for the Spherical Seifert Manifolds Reviewed International journal
K. Hikami
Communications in Mathematical Physics 268 2006.6
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Transformation Formula of the “Second” Order Mock Theta Function Reviewed International journal
75 2006.1
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Mock (false) theta functions as quantum invariants Invited Reviewed International journal
K. Hikami
Regular & Chaotic Dynamics 10 2005.6
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Quantum invariant, modular form, and lattice points Reviewed International journal
K. Hikami
International Mathematics Research Notices 2005 2005.6
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Hypergeometric Generating Function for L-Functions, Slater's Identities, and Quantum Knot Invariant Invited Reviewed International journal
K. Hikami, A. N. Kirillov
Algebra and Analysis 17 ( 1 ) 2005.1
Presentations
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Skein algebra, cluster algebra, DAHA Invited
2023.6
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入門：モックテータ関数とムーンシャイン Invited
樋上和弘
早稲田整数論セミナー 2022.12
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3-manifodls and quantum modular forms Invited International conference
Kazuhiro Hikami
AMS spring western virtual sectional meeting: special session "q-series, number theory, and quantum topology" 2022.5
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モックモジュラー形式と量子モジュラー形式 Invited
樋上和弘
東北大学理学部数学科 談話会 2021.6
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Quantum invariants, q-series, DAHA Invited International conference
Kazuhiro Hikami
Number Theory, Strings, and Quantum Physics 2021.6
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Braid Group and Cluster Algebra Invited International conference
Kazuhiro Hikami
GeMAT Seminar (Geometric Methods in Algebra and Topology) 2020.7
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DAHA and skein algebra on surfaces Invited International conference
Kazuhiro Hikami
Zoom Cluster Seminar 2020.6
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DAHA and skein algebra of surfaces Invited International conference
Kazuhiro Hikami
Quiver Hecke algebra and its applications to topology 2019.7
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On Kauffman bracket skein algebra and DAHA Invited International conference
Kazuhiro Hikami
Volume Conjecture in Tokyo 2018.8
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Quantum invariants of knots/3-manifolds and modular forms Invited International conference
Kazuhiro Hikami
Trends in Modular Forms 2017.12
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Quantum Modular Forms I, II Invited International conference
Kazuhiro Hikami
Indefinite Theta Functions and Applications in Physics & Geometry 2017.6
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q-series and quantum invariants Invited International conference
Kazuhiro Hikami
Frontiers in Mathematical Physics 2017.1
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Quantum Modular Form from Knots and 3-manifolds Invited International conference
Kazuhiro Hikami
Number Theory and Physics 2016.5
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Quantum modular form from torus knots Invited International conference
Kazuhiro Hikami
Low-Dimensional Topology and Number Theory 2014.8
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(mock) modular form and quantum invariant Invited International conference
Kazuhiro Hikami
Mock Modular Forms and Physics: Black Holes, Moonshine, and Conformal Field Theory 2014.4
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Quantum modular form and quantum invariant Invited International conference
Kazuhiro Hikami
Modular functions and Quadratic forms -- number theoretic delights 2013.12
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Hyperbolic Geometry and Dilogarithm Invited International conference
Kazuhiro Hikami
Quantum Dilogarithm, Modular Double, and Representation Theory (Infinite Analysis 13 Autumn School) 2013.11
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Moonshine and N=2/4 Superconformal Algebra Invited International conference
Kazuhiro Hikami
Mock Modular Forms, Moonshine, and String Theory 2013.8
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Mock Theta Functions and Moonshine Invited International conference
Kazuhiro Hikami
Lectures on q-series and Modular Forms 2013.7
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Cluster Algebra and Complex Volume Invited International conference
Kazuhiro Hikami
Intelligence of Low-dimensional Topology 2013.5
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On the Complex Volume of Knots Invited International conference
K. Hikami
Bethe Ansatz, Quantum Groups and Beyond 2013.3
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Cluster algebra and complex volume of 2-bridge knots Invited International conference
K. Hikami
Facets of Integrability: Random Patterns, Stochastic Processes, Hydrodynamics, Gauge Theories and Condensed Matter Systems 2013.1
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Decomposition of elliptic genera in terms of superconformal characters Invited International conference
K. Hikami
Low-Dimensional Topology and Number Theory 2012.8
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Superconformal algebras, mock theta functions, and moonshine Invited International conference
K. Hikami
Hypergeometric series and their generalizations in algebra, geometry, number theory and physics 2012.5
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Moonshine from Character Decompositions of Elliptic Genera Invited International conference
K. Hikami
Workshop on Modular Forms 2012.5
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Ramanujan擬テータ函数とMathieu Moonshine Invited
樋上
福岡数論 2011.8
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Volume Conjecture and Quantum Dilogarithm Function Invited International conference
K. Hikami
Integrable Structure and Low Dimensional Geometries (Simons Summer Workshop in Mathematics and Physics 2011) 2011.8
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Character Decomposition of Elliptic Genus Invited International conference
K. Hikami
Workshop on Mathieu Moonshine 2011.7
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Superconformal Algebras, Mock Theta Functions, and Mathieu Moonshine Invited International conference
K. Hikami
Low Dimensional Topology and Number Theory III 2011.3
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Mock Theta Functions and Applications to Elliptic Genus Invited
K. Hikami
Elliptic Genus of K3 Surfaces and the Mathieu Group M24 2011.2
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Asymptotics of Quantum Invariants Invited International conference
K. Hikami
Low-Dimensional Topology and Number Theory 2010.8
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Superconformal Algebras and the Entropy of HyperKahler Manifolds Invited
K. Hikami
Prospects in q-series and Modular Forms 2010.7
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Cluster Algebra and Complex Volume Invited International conference
Kazuhiro Hikami
KIAS Topology Seminar 2013.7
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Mock Modular Form Invited
2013.11
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Mock theta函数の周辺 Invited
樋上 和弘
東北大学 情報科学研究科 談話会 2015.1
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Quantum modular forms and quantum invariants Invited
Kazuhiro Hikami
2015.12
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Quantum Dilogarithm and Quantum Invariant Invited International conference
Kazuhiro Hikami
Quantum Topology Seminar 2016.3
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Quantum Modular Form Invited International conference
Kazuhiro Hikami
Number Theory Seminar 2016.3
MISC
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モックテータ関数
樋上 和弘
数理科学(サイエンス社） 2020.8
Professional Memberships
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American Mathematical Society
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日本物理学会
Academic Activities
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Organizer
（ Japan ） 2024.3
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Organizer International contribution
q-series, quantum modular forms and representation theory （ Online (http://www.kurims.kyoto-u.ac.jp/~tshun/q2020/) Japan ） 2020.10
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Organizer International contribution
Modular Forms and Quantum Knot Invariants （ Banff International Research Station Canada ） 2018.3
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Organizer International contribution
School on Mock Modular Forms and Related Topics （ Momochi Office Japan ） 2016.11
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Organizer International contribution
String, Lattice, and Moonshine （ Japan ） 2014.12
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Organizer International contribution
Quantum Topology and Physics （ Japan ） 2014.9
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世話人
頂点作用素代数と超弦理論 （ 立教大学 ） 2014.1 - 2014.2
Research Projects
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量子モジュラー形式の深化と展開
Grant number：22K01117 2024 - 2026
日本学術振興会 科学研究費助成事業 基盤研究(B)
Authorship：Principal investigator Grant type：Scientific research funding
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Quantum Modular Forms and their Applications
Grant number：23K22388 2022.4 - 2027.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Authorship：Principal investigator Grant type：Scientific research funding
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量子モジュラー形式の深化と展開
Grant number：22H01117 2022 - 2023
日本学術振興会 科学研究費助成事業 基盤研究(B)
Authorship：Principal investigator Grant type：Scientific research funding
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幾何的漸化式に基づく量子トポロジーと弦の場の量子構造の数理の究明
Grant number：20K03931 2020 - 2024
日本学術振興会 科学研究費助成事業 基盤研究(C)
藤 博之, 樋上 和弘, 村上 斉, 真鍋 征秀
Authorship：Coinvestigator(s) Grant type：Scientific research funding
本研究課題では，幾何的漸化式が記述する理論を，行列模型や位相的漸化式，さらに非臨界弦の場の理論の立場から理解を深め，量子トポロジーや結び目の量子不変量などへの新たな応用を探る予定である．
位相的漸化式は行列模型の解析を超えて，ミラー対称性や超対称ゲージ理論，Kontsevich-Witten理論，体積予想など様々な幾何学や物理学の量子的側面を浮き彫りにし，新たな発展をもたらしてきた．
この位相的漸化式の発展形として導入された幾何的漸化式もまた新たな幾何学や物理学の背後に潜む量子的側面を明らかにできることが期待され，その中でも弦の場の理論は最も興味深い応用例の一つとなるものと考えている． -
Asymptotic behaviors of quantum invariants of knots and three-manifolds
Grant number：20K03601 2020 - 2023
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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行列模型に基づくファットグラフの分子生物学への応用
Grant number：17K18781 2017 - 2019
日本学術振興会 科学研究費助成事業 挑戦的研究（萌芽）
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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結び目群の表現と量子不変量の漸近挙動
Grant number：17K05239 2017 - 2019
日本学術振興会 科学研究費助成事業 基盤研究(C)
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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モックモジュラー形式と量子不変量の研究とその応用
Grant number：16H03927 2016 - 2021
日本学術振興会 科学研究費助成事業 基盤研究(B)
Authorship：Principal investigator Grant type：Scientific research funding
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多重ゼータの深化と新展開
Grant number：16H06336 2016 - 2020
日本学術振興会 科学研究費助成事業 基盤研究(S)
Authorship：Collaborating Investigator(s) (not designated on Grant-in-Aid) Grant type：Scientific research funding
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結び目の量子不変量と基本群の表現
Grant number：26400079 2014 - 2016
日本学術振興会 科学研究費助成事業 基盤研究(C)
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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量子二重対数関数の幾何学
Grant number：24654041 2012 - 2014
科学研究費助成事業 挑戦的萌芽研究
Authorship：Principal investigator Grant type：Scientific research funding
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数理物理学における量子トポロジーとモジュラー形式の総合的研究
Grant number：23340115 2011 - 2014
日本学術振興会 科学研究費助成事業 基盤研究(B)
Authorship：Principal investigator Grant type：Scientific research funding
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体積予想とその一般化
Grant number：22540069 2010 - 2013
日本学術振興会 科学研究費助成事業 基盤研究(C)
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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位相的量子計算の研究
Grant number：21654053 2009 - 2011
科学研究費助成事業 挑戦的萌芽研究
Authorship：Principal investigator Grant type：Scientific research funding
Class subject
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微分積分学I
2024.4 - 2024.9 First semester
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微分積分学I (工学）
2024.4 - 2024.9 First semester
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入門 微分積分 II（経済）
2023.12 - 2024.2 Winter quarter
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入門 微分積分 II
2023.12 - 2024.2 Winter quarter
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入門 微分積分 I（経済）
2023.10 - 2023.12 Fall quarter
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入門 微分積分 I
2023.10 - 2023.12 Fall quarter
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入門 線形代数 II
2023.6 - 2023.8 Summer quarter
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表現論大意 / 数学特論
2023.4 - 2023.9 First semester
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入門 線形代数 I
2023.4 - 2023.6 Spring quarter
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入門 微分積分 II
2022.12 - 2023.2 Winter quarter
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入門 微分積分 II（経済）
2022.12 - 2023.2 Winter quarter
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入門 微分積分 I
2022.10 - 2022.12 Fall quarter
-
入門 微分積分 I (経済)
2022.10 - 2022.12 Fall quarter
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入門 線形代数 II
2022.6 - 2022.8 Summer quarter
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数学展望 II （１コマ分）
2022.4 - 2022.9 First semester
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表現論大意／数学特論８
2022.4 - 2022.9 First semester
-
入門 線形代数 I
2022.4 - 2022.6 Spring quarter
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微分積分学 II
2021.10 - 2022.3 Second semester
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数学特論１２ / 複素解析学大意
2021.4 - 2021.9 First semester
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微分積分学 I
2021.4 - 2021.9 First semester
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微分積分学・同演習II
2020.10 - 2021.3 Second semester
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数学特論B2
2020.10 - 2021.3 Second semester
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微分積分学
2020.10 - 2021.3 Second semester
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微分積分学・同演習B
2020.10 - 2021.3 Second semester
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数学特論１２／複素解析学大意
2020.4 - 2020.9 First semester
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微分積分学・同演習I
2020.4 - 2020.9 First semester
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微分積分学・同演習A
2020.4 - 2020.9 First semester
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数学特論B2
2019.10 - 2020.3 Second semester
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線形代数・同演習B
2019.10 - 2020.3 Second semester
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線形代数学・同演習B
2019.10 - 2020.3 Second semester
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微分積分学・同演習II
2019.10 - 2020.3 Second semester
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微分積分学・同演習I
2019.4 - 2019.9 First semester
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数学演習１A
2019.4 - 2019.9 First semester
-
線形代数学・同演習A
2019.4 - 2019.9 First semester
-
線形代数学・同演習A
2019.4 - 2019.9 First semester
-
微分積分学・同演習B
2018.10 - 2019.3 Second semester
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数学特論B2
2018.10 - 2019.3 Second semester
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線型代数学・同演習B
2018.10 - 2019.3 Second semester
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数学基礎 / コアセミナー
2018.4 - 2018.9 First semester
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微分積分学・同演習A
2018.4 - 2018.9 First semester
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線形代数学・同演習A
2018.4 - 2018.9 First semester
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数学演習II
2018.4 - 2018.9 First semester
-
数学特論B2
2017.10 - 2018.3 Second semester
-
微分積分学・同演習B
2017.10 - 2018.3 Second semester
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線形代数学・同演習B
2017.10 - 2018.3 Second semester
-
数学演習II
2017.4 - 2017.9 First semester
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数学基礎I / コアセミナー
2017.4 - 2017.9 First semester
-
微分積分学・同演習A
2017.4 - 2017.9 First semester
-
線形代数学・同演習A
2017.4 - 2017.9 First semester
-
数学特論B2
2016.10 - 2017.3 Second semester
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微分積分学・同演習II
2016.10 - 2017.3 Second semester
-
微分積分学
2016.10 - 2017.3 Second semester
-
微分積分学・同演習II
2016.10 - 2017.3 Second semester
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微分積分学・同演習I
2016.4 - 2016.9 First semester
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微分積分学・同演習I
2016.4 - 2016.9 First semester
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数学演習II
2016.4 - 2016.9 First semester
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数学特論B2
2015.10 - 2016.3 Second semester
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微分積分学・同演習II
2015.10 - 2016.3 Second semester
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線形代数学・同演習B
2015.10 - 2016.3 Second semester
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MMA講究D
2015.10 - 2016.3 Second semester
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フーリエ解析と偏微分方程式
2015.10 - 2016.3 Second semester
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位相幾何学基礎・演習
2015.4 - 2015.9 First semester
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微分積分学・同演習I
2015.4 - 2015.9 First semester
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線形代数学・同演習A
2015.4 - 2015.9 First semester
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MMA講究D
2014.10 - 2015.3 Second semester
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微分積分学
2014.10 - 2015.3 Second semester
-
線形代数学・同演習B
2014.10 - 2015.3 Second semester
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数学IIC
2014.4 - 2014.9 First semester
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微分積分学
2014.4 - 2014.9 First semester
-
線形代数学・同演習A
2014.4 - 2014.9 First semester
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微分積分学続論
2014.4 - 2014.9 First semester
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基礎数学演習II
2013.10 - 2014.3 Second semester
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数学IC
2013.10 - 2014.3 Second semester
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基礎数学演習II
2013.10 - 2014.3 Second semester
-
数学展望
2013.4 - 2013.9 First semester
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数学特論（数論大意）
2013.4 - 2013.9 First semester
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線形代数
2013.4 - 2013.9 First semester
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微分積分続論
2013.4 - 2013.9 First semester
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基礎数学演習１
2013.4 - 2013.9 First semester
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数学１C
2012.10 - 2013.3 Second semester
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微分積分学
2012.10 - 2013.3 Second semester
-
基礎数学演習２
2012.10 - 2013.3 Second semester
-
数学IIC
2012.4 - 2012.9 First semester
-
微分積分学
2012.4 - 2012.9 First semester
-
線形代数
2012.4 - 2012.9 First semester
-
数学展望
2012.4 - 2012.9 First semester
-
線形代数・同演習B
2011.10 - 2012.3 Second semester
-
線形代数
2011.10 - 2012.3 Second semester
-
微分積分学
2011.10 - 2012.3 Second semester
-
線形代数・同演習A
2011.4 - 2011.9 First semester
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微分積分学
2011.4 - 2011.9 First semester
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微分積分続論
2011.4 - 2011.9 First semester
FD Participation
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2011.4 Role：Participation Title：平成23年度第1回全学ＦＤ(新任教員研修)
Organizer：University-wide
Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.
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2021 東北大学 理学研究科 Classification:Intensive course
Semester, Day Time or Duration：6月28日〜7月2日
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2014 東北大学 情報科学研究科 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：2015年1月13日~16日
Social Activities
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モックテータ関数
2021年新春特別講義「ラマヌジャンと宇宙」 数学協会、東京大学素粒子物理国際研究センター、四日市大学関孝和数学研究所 オンライン（Zoom) 2021.1
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ラマヌジャン:母関数とタクシー数
九州大学オープンキャンパス 2018.8
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ラマヌジャンの最後の手紙
九州大学「現代数学入門」 西新プラザ 2015.7
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量子計算のはなし
九州大学オープンキャンパス 2014.8
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出張講義
北筑高等学校 2012.8
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出前講義
西南学院高等学校 2011.11
Acceptance of Foreign Researchers, etc.
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University College Dublin
Acceptance period： 2022.7 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
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Emory University
Acceptance period： 2019.11 （Period）：Less than 2 weeks
Nationality：New Zealand
Business entity：Japan Society for the Promotion of Science
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University of Hawaii
Acceptance period： 2016.11
Nationality：Canada
Business entity：Japan Society for the Promotion of Science
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Trinity College Dublin
Acceptance period： 2016.11 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
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University of Hong Kong
Acceptance period： 2016.11 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
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Institut de Mathématique de Jussieu
Acceptance period： 2014.9
Nationality：France
Business entity：Japan Society for the Promotion of Science
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KdV Institute for Mathematics
Acceptance period： 2014.9 （Period）：Less than 2 weeks
Nationality：Netherlands
Business entity：Japan Society for the Promotion of Science
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RIMS, Kyoto University
Acceptance period： 2013.8 （Period）：Less than 2 weeks
Nationality：Russian Federation
Business entity：Japan Society for the Promotion of Science
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Georgia Institute of Technology
Acceptance period： 2012.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
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Insitute for Advanced Study
Acceptance period： 2012.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
Travel Abroad
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2019.11
Staying countory name 1：Germany Staying institution name 1：DESY
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2019.3
Staying countory name 1：United States Staying institution name 1：ICERM, Brown University
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2019.1
Staying countory name 1：Austria Staying institution name 1：Erwin Schrödinger Institute
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2018.3
Staying countory name 1：Canada Staying institution name 1：Banff International Research Station
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2017.12
Staying countory name 1：Korea, Republic of Staying institution name 1：National Institute for Mathematical Sciences, Daejeon
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2017.8
Staying countory name 1：Germany Staying institution name 1：Mathematisches Forschungsinstitut Oberwolfach
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2017.6
Staying countory name 1：Ireland Staying institution name 1：Hamilton Mathematics Institute, Trinity College Dublin
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2016.5
Staying countory name 1：France Staying institution name 1：Institut Henri Poincaré
Staying institution name 2：University Denis Diderot - Paris 7
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2016.3
Staying countory name 1：Korea, Republic of Staying institution name 1：Pohang University of Science and Technology
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2015.5
Staying countory name 1：France Staying institution name 1：Centre international de rencontres mathématiques
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2015.3
Staying countory name 1：Germany Staying institution name 1：Max Planck Institute for Mathematics
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2014.8
Staying countory name 1：Germany Staying institution name 1：Mathematisches Forschungsinstitut Oberwolfach
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2014.4
Staying countory name 1：India Staying institution name 1：The Institute of Mathematical Sciences
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2013.8 - 2013.9
Staying countory name 1：United States Staying institution name 1：Simons Center for Geometry and Physics
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2013.7
Staying countory name 1：Korea, Republic of Staying institution name 1：Korea Institute for Advanced Study
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2013.1
Staying countory name 1：United States Staying institution name 1：Simons Center for Geometry and Physics
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2012.8 - 2012.9
Staying countory name 1：Germany Staying institution name 1：Mathematisches Forschungsinstitut Oberwolfach
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2012.5 - 2012.6
Staying countory name 1：France Staying institution name 1：Institut Henri Poincare
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2011.8
Staying countory name 1：United States Staying institution name 1：Simons Center for Geometry and Physics
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2011.7
Staying countory name 1：Switzerland Staying institution name 1：ETH Zurich
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2010.8
Staying countory name 1：Germany Staying institution name 1：Mathematisches Forschungsinstitut Oberwolfach
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2010.7
Staying countory name 1：Ireland Staying institution name 1：University College Dublin