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J-GLOBAL ID:200901089776199400   Update date: Feb. 14, 2024

Murakami Jun

ムラカミ ジュン | Murakami Jun
Affiliation and department:
Job title: Professor
Homepage URL  (1): http://www.f.waseda.jp/murakami/jun-home-j.html
Research field  (3): Mathematical analysis ,  Algebra ,  Geometry
Research keywords  (1): 3-manifold, knot theory, quantum invariant, representation theory
Research theme for competitive and other funds  (58):
  • 2020 - 2025 Study of the geometric structure of three manifolds by using quantum invariants
  • 2020 - 2023 Research on a complexification of hyperbolic tetrahedra
  • 2019 - 2022 Diagramatic construction of non-semisimple TQFT
  • 2017 - 2020 Quantization of the fundamental group by dual quantum group
  • 2017 - 2020 双対量子群による基本群の量子化
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Papers (61):
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Books (16):
  • 結び目と量子群
    朝倉書店 2000
  • 量子不変量
    日本評論社 1999
  • 現代数学序説 2
    大阪大学出版会 1998
  • Representation of mapping class groups via the universal perturbative invariant
    Proceedings of Knots 96, ed. S. Suzuki, World Scientific 1997
  • The Casson invariant for a knot in a 3-manifold
    Geomatry and Physics (Ed. Anderson, Dupont Pedersen and Swan), Lecture notes in pure and applied mathematics 1996
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Lectures and oral presentations  (51):
  • Volume conjecture for the logarithmic invariant
    (Volume Conjecture in Tokyo 2018)
  • On a q-deformation of PSL(2) representation of knot groups
    (Low dimensional topology and number theory X 2018)
  • Presentation of knots by a braided Hopf algebra
    (Modular Forms and Quantum Knot Invariants 2018)
  • Braided Wirtinger presentation of knots
    (Representation Spaces, Teichmüller Theory, and their Relationship with 3-manifolds from the Classical and Quantum Viewpoints 2018)
  • On the volume conjecture of quantum knot invariants
    (Low-dimensional Topology and Number Theory 2017)
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Education (2):
  • - 1982 University of Tokyo Graduate School, Division of Science Mathematics
  • - 1980 University of Tokyo Faculty of Science Department of Mathematics
Professional career (2):
  • Master of Science (University of Tokyo)
  • Doctor of Science (Osaka University)
Work history (6):
  • 1993 - 2001 Osaka University, Associate Professor
  • 2001 - Waseda Unviersity, Professor
  • 1992 - 1993 Max-Plank Institute for Mathematics (Bonn, Germany), Researcher
  • 1990 - 1993 Osaka University, Lecturer
  • 1991 - 1992 Institute for Advanced Studies (Princeton, USA), Member
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Association Membership(s) (1):
The Mathematical Society of Japan
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