KAI ISHIHARA

Last Updated :2025/06/16

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor
E-mail
xishiharhiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Saitama University
  • Saitama University

Research Fields

  • Mathematical and physical sciences;Mathematics;Geometry

Research Keywords

  • Knots, Topology

Educational Activity

Course in Charge

  1. 2025, Liberal Arts Education Program1, 2Term, CalculusI
  2. 2025, Undergraduate Education, 3Term, Fundamental Concepts of Mathematics II
  3. 2025, Undergraduate Education, 3Term, Exercises in Fundamental Concepts of Mathematics II
  4. 2025, Undergraduate Education, 1Term, Geometry C
  5. 2025, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2025, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2025, Undergraduate Education, First Semester, Special Lectures in Mathematics(On trace-free character varieties)
  8. 2025, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
  9. 2025, Graduate Education (Master's Program) , Year, Topology Seminar
  10. 2025, Graduate Education (Master's Program) , 1Term, Geometry A
  11. 2025, Graduate Education (Master's Program) , 4Term, Geometry B
  12. 2025, Graduate Education (Master's Program) , First Semester, Special Lectures in Mathematics
  13. 2025, Graduate Education (Master's Program) , Year, Exercises in Mathematics
  14. 2025, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  15. 2025, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  16. 2025, Graduate Education (Master's Program) , Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Pathways of DNA unlinking: A story of stepwise simplification, SCIENTIFIC REPORTS, 7(1), 201709
    Link to Paper Search Results by DOI
  2. Bounds for minimum step number of knots confined to tubes in the simple cubic lattice, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 50(21), 1-28, 201705
    Link to Paper Search Results by DOI
  3. Bounds for minimum step number of knots confined to tubes in the simple cubic lattice, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 50(21), 1-28, 201705
    Link to Paper Search Results by DOI
  4. Band surgeries and crossing changes between fibered links, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 94(2), 557-582, 201610
    Link to Paper Search Results by DOI
  5. Coherent band pathways between knots and links, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 24(2), 155006-1-155006-21, 201502
    Link to Paper Search Results by DOI
  6. Characterising knotting properties of polymers in nanochannels, Soft Matter, 14(28), 5775-5785, 2018
    Link to Paper Search Results by DOI
  7. Enzyme action for topological entanglement in DNA and knot theory, Reactive and Functional Polymers, 132, 74-80, 201811
    Link to Paper Search Results by DOI
  8. Neighborhood equivalence for multibranched surfaces in 3-manifolds, Topology and its Applications, 257, 11-21, 201904
  9. A first proof of knot localization for polymers in a nanochannel, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 57(38), 20241011
    Link to Paper Search Results by DOI
  10. Graph Theoretical and Knot Theoretical Analyses of Multi-cyclic Polymers, Topological Polymer Chemistry, 20220226
    Link to Paper Search Results by DOI
  11. Handlebody decompositions of three-manifolds and polycontinuous patterns, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478(2260), 20220420
    Link to Paper Search Results by DOI