MURAKAMI, Jun

J-GLOBAL         Last updated: Nov 28, 2019 at 02:51
 
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Name
MURAKAMI, Jun
E-mail
murakamiwaseda.jp
URL
http://www.f.waseda.jp/murakami/jun-home-j.html
Affiliation
Waseda University
Section
Faculty of Science and Engineering School of Fundamental Science and Engineering
Job title
Professor
Degree
Master of Science(University of Tokyo), Doctor of Science(Osaka University)
Research funding number
90157751

Research Areas

 
 

Academic & Professional Experience

 
1982
 - 
1989
Osaka University, Research Assistant
 
1990
 - 
1993
Osaka University, Lecturer
 
1991
 - 
1992
Institute for Advanced Studies (Princeton, USA), Member
 
1992
 - 
1993
Max-Plank Institute for Mathematics (Bonn, Germany), Researcher
 
1993
 - 
2001
Osaka University, Associate Professor
 

Education

 
 
 - 
1980
Department of Mathematics, Faculty of Science, University of Tokyo
 
 
 - 
1982
Mathematics, Graduate School, Division of Science, University of Tokyo
 

Published Papers

 
Kolpakov, Alexander; Murakami, Jun
Experimental Mathematics   197-203   Jun 2018
© 2017 Taylor & FrancisWe suggest a method of computing volume for a simple polytope P in three-dimensional hyperbolic space (Formula presented.). This method combines the combinatorial reduction of P as a trivalent graph Γ (the 1-skeleton of P) b...
Cho, Jinseok; Murakami, Jun
Journal of Knot Theory and its Ramifications   26(12)    Oct 2017
© 2017 World Scientific Publishing Company. The potential function of the optimistic limit of the colored Jones polynomial and the construction of the solution of the hyperbolicity equations were defined in the authors' previous papers. In this pa...
Murakami, Jun
Quantum Topology   8(1) 35-73   Jan 2017
© European Mathematical Society.Kashaev’s invariants for a knot in a three sphere are generalized to invariants of a knot in a three manifold. A relation between the newly constructed invariants and the hyperbolic volume of the knot complement is ...
Mizusawa, Atsuhiko;Murakami, Jun
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS   25(10)    Sep 2016
The dual jacobian of a generalised hyperbolic tetrahedron, and volumes of prisms
Kolpakov, Alexander; Murakami, Jun
Tokyo Journal of Mathematics   39(1) 45-67   Jun 2016
We derive an analytic formula for the dual Jacobian matrix of a generalised hyperbolic tetrahedron. Two cases are considered: a mildly truncated and a prism truncated tetrahedron. The Jacobian for the latter arises as an analytic continuation of t...

Books etc

 
結び目と量子群
村上 順
朝倉書店   2000   
量子不変量
大槻 知忠 編著
日本評論社   1999   
現代数学序説 2
宮西 正宜・川久保 勝夫 編
大阪大学出版会   Oct 1998   
Representation of mapping class groups via the universal perturbative invariant
Jun Murakami
Proceedings of Knots 96, ed. S. Suzuki, World Scientific   1997   
The Casson invariant for a knot in a 3-manifold
Jun Murakami
Geomatry and Physics (Ed. Anderson, Dupont Pedersen and Swan), Lecture notes in pure and applied mathematics   1996   

Conference Activities & Talks

 
Volume conjecture for the logarithmic invariant
Jun Murakami
Volume Conjecture in Tokyo   23 Aug 2018   
On a q-deformation of PSL(2) representation of knot groups
Jun Murakami
Low dimensional topology and number theory X   28 Mar 2018   
Presentation of knots by a braided Hopf algebra
Jun Murakami
Modular Forms and Quantum Knot Invariants   13 Mar 2018   Banff International Research Station
Braided Wirtinger presentation of knots
Jun MUrakami
Representation Spaces, Teichmüller Theory, and their Relationship with 3-manifolds from the Classical and Quantum Viewpoints   2 Feb 2018   Centre International de Rencontres Mathemiques
On the volume conjecture of quantum knot invariants
Jun Murakami
Low-dimensional Topology and Number Theory   25 Aug 2017   Oberwolfach Research Institute for Mathematics

Association Memberships

 
 

Research Grants & Projects

 
Quantization of the fundamental group by dual quantum group
Project Year: Jun 2017 - Mar 2020
Discrete quantization of low-dimensional geometry with quantum invariants
Project Year: Apr 2013 - Mar 2017
The aim of this research is to construct discretized quantum geometry for 2 and 3 dimensional case. To do this, various quantum invariants and their relations are studied. For example, we study the colored Jones invariant, the colored Alexander ...
Study in phantom of the quantum groups
Project Year: Apr 2013 - Mar 2016
Quantum groups whose quantum parameter q are roots of unity have projective representations which is not always semisimple. In this research, properties of such representations are studied, invariants of knots and 3-maniolfds related to such rep...
Study of modular/quasimodular forms and multiple zeta values appearing in various aspects of mathematics and physics
Project Year: Apr 2011 - Mar 2016
For modular forms of one variable, we obtained some congruence results on Fourier coefficients of certain meromorphic modular forms, constructed newforms associated to elliptic curves over the rationals which can be written as eta products via dif...
Quantum Topology and Modular Forms in Mathematical Physics
Project Year: Apr 2011 - Mar 2015
Quantum invariants of knots and 3-manifolds has been developed since Jones and Witten. We have studied a geometric aspect of the colored Jones polynomial. Some of the colored Jones polynomial was shown to have a nearly-modular property.We have app...