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Researcher Information

last modified:2022/04/16

Professor Teruhisa Kadokami

Mail Laboratory Website

Faculty, Affiliation

Faculty of Mechanical Engineering, Institute of Science and Engineering College of Science and Engineering, School of Mechanical Engineering

College and School Educational Field

Division of Mechanical Science and Engineering, Graduate School of Natural Science and Technology
Division of Mechanical Science and Engineering, Graduate School of Natural Science and Technology
Course in Mechanical Sciences, School of Mechanical Engineering, College of Science and Engineering

Laboratory

Mathematical Foundation of Mechanical Systems 3B516 TEL:076-264-6439

Academic Background

【Academic background(Doctoral/Master's Degree)】
Kyoto Univeristy Master Mathematics 199503 Completed
Osaka City University Doctor Graduate School of Science Mathematics 199803 Completed
【Academic background(Bachelor's Degree)】
Kyoto University 199303

Career

Year & Month of Birth

1968/12

Academic Society

Award

Specialities

Geometry

Speciality Keywords

Low Dimensional Topology, Knot Theory

Research Themes

Low dimensional topology

Every closed 3-manifold is obtained by Dehn surgery along a link. I study 3-manifolds by using an invariant, called Reidemeister torsion. The invariant is computed from the Alexander polynomial of a link and Dehn surgery coefficients. On the way of researching this subject, there are some derivative researches.

Books

Papers

  •  Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant III Teruhisa Kadokami, Noriko Maruyama, Tsuyoshi Sakai Topology and Its Applications 241 78-81 2018
  •  Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant II Teruhisa Kadokami, Noriko Maruyama, Tsuyoshi Sakai Osaka Journal of Mathematics 53 767-773 2016
  •  Prime component-preservingly amphicheiral link with odd minimal crossing number Teruhisa Kadokami, Yoji Kobatake Osaka Journal of Mathematics 53 439-462 2016
  •  Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant Teruhisa Kadokami, Noriko Maruyama, Tuyoshi Sakai Topology and Its Applications 188 64-73 2015
  •  An infinite family of prime knots with a certain property for the clasp number Teruhisa Kadokami, Kengo Kawamura Journal of Knot Theory and its Ramifications 23 13 14 pages 2014

show all

  •  Lens space surgeries along certain 2-component links related with Park's rational blow down, and Reidemeister-Turaev torsion Teruhisa Kadokami, Yuichi Yamada Journal of Australian Mathematical Society 96 78-126 2014
  •  On the Iwasawa invariants of a link in the 3-sphere Teruhisa Kadokami, Yasushi Mizusawa Kyushu Journal of Mathematics 67 1 215-226 2013
  •  Amphicheiral links with special properties, I Teruhisa Kadokami Journal of Knot Theory and its Ramifications 21 6 17 pages 2012
  •  Amphicheiral links with special properties, II Teruhisa Kadokami Journal of Knot Theory and its Ramifications 21 6 15 pages 2012
  •  Lens surgeries along the n-twisted Whitehead link Teruhisa Kadokami, Noriko Maruyama, Masafumi Shimozawa Kyungpook Mathematical Journal 52 3 245-264 2012
  •  The link-symmetric groups of 2-bridge links Teruhisa Kadokami Journal of Knot Theory and its Ramifications 20 8 1129-1144 2011
  •  Amphicheirality of links and Alexander invariants Teruhisa Kadokami, Akio Kawauchi SCIENCE CHINA Mathematics 54 10 2213-2227 2011

Conference Presentations

  • Continued fractions of even type related to amphicheiral two bridge links(conference:Mathematical Science of Knots IV)(2021/12/23)
  • Classification of torus knots in lens spaces(conference:Tohoku Knot Seminar 2021)(2021/10/17)
  • On amphicheirality of links(conference:Online Mini-Workshop "Knots + More")(2021/08/25)
  • Geometric study of virtual knot theory(conference:Extended KOOK Seminar 2019)(2021/08/22)
  • Knot Theory in 3-manifold via virtual knot theory(conference:Mathematical Science of Knots II)(2019/12/20)

show all

  • How to use Reidemeister torsion(2019/10/25)
  • Braid group and Cryptography(conference:Workshop on Cryptography in Kanazawa)(2017/06/15)
  • Analytic function for an in finite family of connected graphs via Blaschke product(conference:The 12th East Asian School of Knots and Related Topics)(2017/02/15)
  • Maximal abelian torsion of Seifert bered spaces(2016/12/18)
  • Analytic function for an in finite family of connected graphs via Blaschke product(conference:Mini-Workshop on Blaschke Product)(2016/11/24)
  • Maximal abelian torsion of Seifert bered spaces(2016/10/28)
  • Three amphicheiralities of a virtual link(conference:KOOK-TAPU Workshop of Knots in Tsushima Island)(2016/09/06)
  • Reidemeister torsions of Seifert fi bered spaces(2016/09/04)
  • Reidemeister torsions of Seifert fibered spaces(2016/08/16)
  • Symmetries of classical and virtual links(conference:The Second Workshop on Graphs and Knots)(2016/06/26)

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

○「アレクサンダー不変量の様々な応用」(2021-2023) 
○「アレクサンダー多項式の応用」(2017-2019) 

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Differential and Integral Calculus 1A(2022)
○Differential and Integral Calculus 1B(2022)
○Basic Literacy for Mathematics and Physics(2022)
○Theory of Differential Equations and Exercise(2022)
○Theory of Complex Analysis and Exercise(2022)

Classes (Graduate Schools)

○Engineering and Topology A(2022)
○Engineering and Topology B(2022)

International Project

International Students

Lecture themes

Others (Social Activities)

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