Professor Teruhisa Kadokami
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
- The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $¥omega$-solvability Teruhisa Kadokami Journal of Knot Theory and its Ramifications 32 3 2350022 2023
- 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
- 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
- The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $¥omega$-solvability(conference：Mathematical Society of Japan)(2023/03/16)
- The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $¥omega$-solvability(conference：The 18th East Asian School of Knots and Related Topics)(2023/02/06)
- The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $¥omega$-solvability(conference：Mathematical Science of Knots V)(2022/12/23)
- The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $¥omega$-solvability(2022/12/17)
- The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $¥omega$-solvability(2022/10/24)
- Amphicheirality of pretzel links(conference：Extended KOOK Seminar 2022)(2022/08/31)
- 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)
- 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)
○Theory of Complex Analysis and Exercise(2023)
○Theory of Differential Equations and Exercise(2023)
○Basic Literacy for Mathematics and Physics(2023)
○Differential and Integral Calculus 1B(2023)
○Differential and Integral Calculus 1A(2023)
Classes (Graduate Schools)
○Low dimensional topology(2023)
○Engineering and Topology B(2023)
○Engineering and Topology A(2023)