Hitoshi MURAKAMI

Profile Information

Affiliation: Professor, Graduate School of Information Sciences Department of Computer and Mathematical Sciences Mathematical Structures Mathematical Structures III, Tohoku University

Degree: 理学博士(Osaka City University)

J-GLOBAL ID: 200901085295582883
researchmap Member ID: 1000321762

External link: http://www.math.is.tohoku.ac.jp/~hitoshi/index_j.htm

Research Interests

Research Areas

Natural sciences / Geometry /

Research History

Associate Professor, Tokyo Institute of Technology Graduate School of Science and Engineering, Department of Mathematics, Graduate School of Science and Engineering Mathematics
1987 - 1994

:大阪市立大学助手
1987 - 1994

:Osaka City University Research Associate
1994 - 1996

:大阪市立大学助教授
1994 - 1996

:Osaka City University Associate Professor
1996 - 2000

:Wadeda University Associate Professor
1996 - 2000

:早稲田大学助教授
2000

-:Tokyo Institute of Technology Associate Professor
2000

-:東京工業大学助教授

Education

- 1986

Osaka City University
- 1986

Graduate School, Division of Natural Science, Osaka City University
- 1981

Faculty of Science, Kyoto University

Committee Memberships

Apr, 2013 - Present

編集員, Kyungpook Mathematical Journal

Papers

Kashaev invariants of twice-iterated torus knots

Hitoshi Murakami, Anh T. Tran

Topology and its Applications, 290 107602-107602, Mar, 2021
Witten–Reshetikhin–Turaev Function for a Knot in Seifert Manifolds

Hiroyuki Fuji, Kohei Iwaki, Hitoshi Murakami, Yuji Terashima

Communications in Mathematical Physics, 2021
The twisted Reidemeister torsion of an iterated torus knot

Hitoshi Murakami

Topology and its Applications, 257 22-66, Apr, 2019
Root polytopes, parking functions, and the HOMFLY polynomial

Tamás Kálmán, Hitoshi Murakami

Quantum Topology, 8(2) 205-248, 2017 Peer-reviewed
The Colored Jones Polynomial, the Chern–Simons Invariant, and the Reidemeister Torsion of a Twice–Iterated Torus Knot

Hitoshi Murakami

Acta Mathematica Vietnamica, 39(4) 649-710, 2014 Peer-reviewed
The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot

Hitoshi Murakami

JOURNAL OF TOPOLOGY, 6(1) 193-216, Mar, 2013 Peer-reviewed
Current status of the volume conjecture

Murakami, H

Sugaku Expositions, 26 181-203, 2013 Peer-reviewedInvited
Representations and the colored Jones polynomial of a torus knot

Hikami, K, Murakami, H

AMS/IP Stud. Adv. Math., 50 153-171, 2011 Peer-reviewedInvited
An Introduction to the Volume Conjecture

Hitoshi Murakami

INTERACTIONS BETWEEN HYPERBOLIC GEOMETRY, QUANTUM TOPOLOGY AND NUMBER THEORY, 541 1-40, 2011 Peer-reviewedInvited
SL( 2, C) Chern-Simons Theory and the Asymptotic Behavior of the Colored Jones Polynomial

Sergei Gukov, Hitoshi Murakami

LETTERS IN MATHEMATICAL PHYSICS, 86(2-3) 79-98, Dec, 2008 Peer-reviewed
Colored Jones polynomials with polynomial growth

Kazuhiro Hikami, Hitoshi Murakami

Communications in Contemporary Mathematics, 10(SUPPL. 1) 815-834, Nov, 2008 Peer-reviewed
An introduction to the volume conjecture and its generalizations

Hitoshi MURAKAMI

Acta Math. Vietnam., 33(3) 219-253, 2008 Peer-reviewed
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces

Hitoshi Murakami, Yoshiyuki Yokota

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 607(607) 47-68, Jun, 2007 Peer-reviewed
A version of the volume conjecture

Hitoshi Murakami

ADVANCES IN MATHEMATICS, 211(2) 678-683, Jun, 2007 Peer-reviewed
The colored Jones polynomials and the Alexander polynomial of the figure-eight knot

Hitoshi MURAKAMI

JP J. Geom. Topol., 7(2) 249-269, 2007 Peer-reviewed
Various generalizations of the volume conjecture

Hitoshi Murakami

INTERACTION OF ANALYSIS AND GEOMETRY, 424 165-186, 2007 Peer-reviewed
A quantum introduction to knot theory

Hitoshi Murakami

PRIMES AND KNOTS, 416 137-165, 2006 Peer-reviewed
Asymptotic behaviors of the colored Jones polynomials of a torus knot

H Murakami

INTERNATIONAL JOURNAL OF MATHEMATICS, 15(6) 547-555, Aug, 2004 Peer-reviewed
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries

H Murakami

FUNDAMENTA MATHEMATICAE, 184(1-3) 269-289, 2004 Peer-reviewed
Some limits of the colored Jones polynomials of the figure-eight knot

Hitoshi MURAKAMI

Kyungpook Math. J, 44(3) 369-383, 2004 Peer-reviewed

Misc.

Mahler measure of the colored Jones polynomial and the volume conjecture

Hitoshi MURAKAMI

Sūrikaisekikenkyūsho Kōkyūroku, 1279 86-99, 2002 Invited
Kashaev's invariant and the volume of a hyperbolic knot after Y. Yokota

H Murakami

PHYSICS AND COMBINATORICS 1999, 244-272, 2001 Peer-reviewedInvited
Optimistic calculations about the Witten-Reshetikhin-Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries

Hitoshi MURAKAMI

Sūrikaisekikenkyūsho Kōkyūroku, 1172 70-79, 2000 Invited
Two-bridge knots with unknotting number one

Murakami Hitoshi, Kanenobu Taizo

RIMS Kokyuroku, 575 126-134, Dec, 1985
Some metric functions on classical knots

Murakami Hitoshi

RIMS Kokyuroku, 518 86-95, Apr, 1984

Books and Other Publications

結び目理論入門

村上, 斉

岩波書店, Dec, 2019 (ISBN: 9784000298261)
Volume conjecture for knots

村上, 斉, 横田, 佳之 (Role: Joint author)

Springer, 2018 (ISBN: 9789811311499)
結び目のはなし

Murakami, H

遊星社, Apr, 2015 (ISBN: 9784434206146)
多面体

Cromwell, Peter R., 下川, 航也, 平澤, 美可三, 松本, 三郎(数学), 丸本, 嘉彦, 村上, 斉

数学書房, Sep, 2014 (ISBN: 9784903342788)
トポロジー入門

Tanaka, T, Murakami, H (Role: Joint author)

サイエンス社, Sep, 2005
トポロジー万華鏡 I

Kotake, Y, Tamano, K, Fukaishi, H, Seyama, S, Negami, S, Murakami, H (Role: Joint author, 第3章（125ページ～ 161ページ）)

朝倉書店, Jun 20, 1996

Presentations

Various generalizations of the volume conjecture

2007
Various generalizations of the volume conjecture

2007
A quantum introduction to knot theory

Primes and knots, 2006
A quantum introduction to knot theory

Primes and knots, 2006
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries

2004
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries

2004

Professional Memberships

Mathematical Society of Japan

Research Projects

Quantum Modular Forms and their Applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2027
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

科学研究費助成事業基盤研究(C), 基盤研究(C), 日本学術振興会, Apr, 2020 - Mar, 2025

藤博之, 樋上和弘, 村上斉
Asymptotic behaviors of quantum invariants of knots and three-manifolds

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2020 - Mar, 2024
Asymptotic behaviors of quantum invariants of knots and three-manifolds

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2021

Murakami Hitoshi
Studies on Mock Modular Forms and Quantum Invariants

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2021
On applications of fatgraph techniques to the molecular biology via matrix models

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Research (Exploratory), Grant-in-Aid for Challenging Research (Exploratory), Japan Society for the Promotion of Science, Jun, 2017 - Mar, 2020

Fuji Hiroyuki
Quantum invariants of knots and representations of knot groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2017

Murakami Hitoshi
Geometry of Quantum Dilogarithm Function

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2015

HIKAMI Kazuhiro, MURAKAMI Hitoshi, Rei
Quantum Topology and Modular Forms in Mathematical Physics

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

HIKAMI Kazuhiro, EGUCHI Tohru, MURAKAMI Hitoshi, MURAKAMI Jun, KANEKO Masanobu
Volume Conjecture and its generalizations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2010 - 2012

MURAKAMI Hitoshi, HIKAMI Kazuhiro
Studies on topological quantum computation

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, 2009 - 2011

HIKAMI Kazuhiro, MURKAMI Hitoshi
量子トポロジーとコヴァノフ・ホモロジー

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, 日本学術振興会, 2007 - 2009

村上斉, PETIT Jerome Mathieu
量子不変量の様々な漸近挙動

科学研究費助成事業萌芽研究, 萌芽研究, 日本学術振興会, 2006 - 2008

村上斉
WZW model and 3-manifolds

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2005 - 2008

YOSHIDA Tomoyoshi, FUTAKI Akito, HONDA Nobuhiro, KOJIMA Sadayoshi, SHIGA Hiroshige, MURAKAMI Hitoshi
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

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, 日本学術振興会, 2005 - 2006

村上斉, PASHKEVICH Marina Gannadievna, PASHKEVICH Marina
Various inbariants appearing in low-dimensional topology

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2003 - 2006

MURAKAMI Hitoshi, TERASHIMA Yuji, ISHIKAWA Masaharu, KITANO Teruaki, USHIJIMA Akira, ENDO Hisaaki
3次元における対称性:量子的アプローチ

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, 日本学術振興会, 2003 - 2004

村上斉, CHBILI Nafaa
Conformal Field Theory and Witten Invariant

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2003 - 2004

YOSHIDA Tomoyoshi, FUTAKI Akito, SHIGA Hiroshige, MURAKAMI Hitoshi, KOJIMA Sadayoshi, ENDO Hisaaki
3次元における対称性: 量子的アプローチ

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, 日本学術振興会, 2003 - 2003

村上斉, NAFAA Chbili
低次元トポロジーの総合的研究

科学研究費助成事業, 基盤研究(B), 日本学術振興会, 2001 - 2002

村上斉, 齋藤恭司, 小林毅, 大槻知忠, 村上順, 谷山公規

Social Activities

「科学の甲子園」の問題作成委員

Other

Apr, 2013 - Present
小学校算数教科書の編集

Other

Apr, 2013 - Present
サイエンスカフェ

Other

Jun 19, 2015

Profile Information

Research Interests

Research Areas

Research History

Education

Committee Memberships

Papers

Misc.

Books and Other Publications

Presentations

Professional Memberships

Research Projects

Social Activities

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