Rchr
J-GLOBAL ID:200901085295582883
Update date: Apr. 17, 2024
MURAKAMI Hitoshi
Murakami Hitoshi | MURAKAMI Hitoshi
Affiliation and department:
Job title:
Professor
Homepage URL (1):
http://www.math.is.tohoku.ac.jp/~hitoshi/index_j.htm
Research field (1):
Geometry
Research keywords (2):
low-dimensional topology
, knot theory
Research theme for competitive and other funds (33):
- 2022 - 2027 Quantum Modular Forms and their Applications
- 2020 - 2025 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
- 2020 - 2024 Asymptotic behaviors of quantum invariants of knots and three-manifolds
- 2017 - 2021 Asymptotic behaviors of quantum invariants of knots and three-manifolds
- 2016 - 2021 Studies on Mock Modular Forms and Quantum Invariants
- 2017 - 2020 On applications of fatgraph techniques to the molecular biology via matrix models
- 2014 - 2017 Quantum invariants of knots and representations of knot groups
- 2012 - 2015 Geometry of Quantum Dilogarithm Function
- 2011 - 2015 Quantum Topology and Modular Forms in Mathematical Physics
- 2010 - 2012 Volume Conjecture and its generalizations
- 2009 - 2011 Studies on topological quantum computation
- 2007 - 2009 量子トポロジーとコヴァノフ・ホモロジー
- 2006 - 2008 量子不変量の様々な漸近挙動
- 2005 - 2008 WZW model and 3-manifolds
- 2005 - 2006 結び目や絡み目のデーン手術で得られる錐多様体の幾何
- 2003 - 2006 Various inbariants appearing in low-dimensional topology
- 2003 - 2004 3次元における対称性:量子的アプローチ
- 2003 - 2004 Conformal Field Theory and Witten Invariant
- 2003 - 2003 3次元における対称性: 量子的アプローチ
- 2001 - 2002 低次元トポロジーの総合的研究
- 2001 - 2002 Topology related to invariants of knots and 3-manifolds
- 2001 - 2002 Gauge Theory and 3-Dimensional Manifolds
- 2000 - 2001 Faddeev-Hopf結び目の研究
- 1999 - 2001 Geometric Representation theory of reductive group
- 1999 - 2000 Topology of knots and 3-manifolds
- 1997 - 1998 Applications of Seiberg-Witten theory to knot theory
- 1997 - 1998 Topology of knots and 3-manifolds
- 1993 - 1996 無限自由度の可積分系と関連する幾何学
- 1994 - 1994 代数系の表現の研究
- 体積予想
- volume conjecture
- 低次元トポロジー
- low-dimensional topology
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Papers (55):
MISC (5):
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Hitoshi MURAKAMI. Mahler measure of the colored Jones polynomial and the volume conjecture. Sūrikaisekikenkyūsho Kōkyūroku. 2002. 1279. 86-99
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H Murakami. Kashaev's invariant and the volume of a hyperbolic knot after Y. Yokota. PHYSICS AND COMBINATORICS 1999. 2001. 244-272
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Hitoshi MURAKAMI. Optimistic calculations about the Witten-Reshetikhin-Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries. Sūrikaisekikenkyūsho Kōkyūroku. 2000. 1172. 70-79
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Murakami Hitoshi, Kanenobu Taizo. Two-bridge knots with unknotting number one. RIMS Kokyuroku. 1985. 575. 126-134
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Murakami Hitoshi. Some metric functions on classical knots. RIMS Kokyuroku. 1984. 518. 86-95
Books (6):
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結び目理論入門
岩波書店 2019 ISBN:9784000298261
-
Volume conjecture for knots
Springer 2018 ISBN:9789811311499
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結び目のはなし
遊星社 2015 ISBN:9784434206146
-
多面体
数学書房 2014 ISBN:9784903342788
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トポロジー入門
サイエンス社 2005
more...
Lectures and oral presentations (6):
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Various generalizations of the volume conjecture
(2007)
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Various generalizations of the volume conjecture
(2007)
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A quantum introduction to knot theory
(Primes and knots 2006)
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A quantum introduction to knot theory
(Primes and knots 2006)
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The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries
(2004)
more...
Education (3):
- - 1986 Osaka City University
- - 1986 Osaka City University Graduate School, Division of Natural Science
- - 1981 Kyoto University Faculty of Science
Professional career (1):
- 理学博士 (Osaka City University)
Work history (9):
- 1996 - 2000 :早稲田大学 助教授
- 1996 - 2000 :Wadeda University Associate Professor
- 2000 - -:東京工業大学 助教授
- 2000 - -:Tokyo Institute of Technology Associate Professor
- 1994 - 1996 :Osaka City University Associate Professor
- 1994 - 1996 :大阪市立大学 助教授
- 1987 - 1994 :Osaka City University Research Associate
- 1987 - 1994 :大阪市立大学 助手
- Tokyo Institute of Technology Graduate School of Science and Engineering, Department of Mathematics, Graduate School of Science and Engineering Mathematics Associate Professor
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Committee career (1):
- 2013/04 - 現在 Kyungpook Mathematical Journal 編集員
Association Membership(s) (1):
Mathematical Society of Japan
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