YUYA KODA

Last Updated :2021/05/07

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor
Self-introduction
Low dimensional Topology

Basic Information

Major Professional Backgrounds

  • 2008/04/01, 2008/05/31, Keio University
  • 2008/06/01, 2008/09/30, Kogakuin University, Lecturer
  • 2008/10/01, 2009/08/31, Tokyo Institute of Technology, Assistant Professor (Special Appointment)
  • 2009/09/01, 2014/09/30, Tohoku University, Graduate School of Science, Assistant Professor
  • 2014/10/01, 2020/03/31, Hiroshima University, Graduate School of Science, Associate Professor

Academic Degrees

  • Doctor of Science, Keio University
  • Master of Science, Keio University

Educational Activity

Course in Charge

  1. 2021, Undergraduate Education, 1Term, Fundamental Concepts of Mathematics I
  2. 2021, Undergraduate Education, 1Term, Exercises in Fundamental Concepts of Mathematics I
  3. 2021, Undergraduate Education, 4Term, Geometry B
  4. 2021, Undergraduate Education, 4Term, Exercises in Geometry B
  5. 2021, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2021, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2021, Undergraduate Education, 3Term, Information Society and Professional Ethics
  8. 2021, Graduate Education (Master's Program) , First Semester, Seminar in Mathematics
  9. 2021, Graduate Education (Master's Program) , Second Semester, Seminar in Mathematics
  10. 2021, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics
  11. 2021, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics
  12. 2021, Graduate Education (Master's Program) , First Semester, Seminar of Topology
  13. 2021, Graduate Education (Master's Program) , Second Semester, Seminar of Topology
  14. 2021, Graduate Education (Doctoral Program) , First Semester, Seminar in Mathematics
  15. 2021, Graduate Education (Doctoral Program) , Second Semester, Seminar in Mathematics
  16. 2021, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
  17. 2021, Graduate Education (Master's Program) , Academic Year, Topology Seminar
  18. 2021, Graduate Education (Master's Program) , Academic Year, Topology Seminar
  19. 2021, Graduate Education (Master's Program) , 1Term, Geometry A
  20. 2021, Graduate Education (Master's Program) , 4Term, Geometry B
  21. 2021, Graduate Education (Master's Program) , 3Term, Topics in Geometry B
  22. 2021, Graduate Education (Master's Program) , 2Term, Topics in Geometry C
  23. 2021, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  24. 2021, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  25. 2021, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  26. 2021, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
  27. 2021, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Shadows of acyclic 4-manifolds with sphere boundary, Algebraic and Geometric Topology, 20(7), 3707-3731, 2020
  2. "Monodromy groups" of Heegaard surfaces of 3-manifolds - Research announcement -, RIMS Kôkyûroku, 2163, 47-61, 2020
  3. Disk surgery and the primitive disk complexes of the 3-sphere, Topology and its Applications, 272, 107092, 20200301
  4. Twisted book decompositions and the Goeritz groups, Topology and its Applications, 272, 107064, 20200301
  5. Extending automorphisms of the genus-2surface over the 3-sphere, The Quarterly Journal of Mathematics, 71(1), 175-196, 202003
  6. Neighborhood equivalence for multibranched surfaces in 3-manifolds, Topology and its Applications, 257, 11-21, 20190415
  7. Positive flow-spines and contact structures - a short summary, RIMS Kôkyûroku, 2129, 34-40, 2019
  8. The mapping class groups of reducible Heegaard splittings of genus two, Transactions of the American Mathematical Society, 371(4), 2473-2502, 20190215
  9. Haken spheres for genus two Heegaard splittings, Mathematical Proceedings of the Cambridge Philosophical Society, 165(3), 563-572, 201811
  10. The disk complex and 2-bridge knots, Journal of Knot Theory and its Ramifications, 27(4), 12pp, 201804
  11. Stable maps and branched shadows of 3-manifolds, Mathematische Annalen, 367(3-4), 1819-1863, 201704
  12. Connected primitive disk complexes and genus two Goeritz groups of lens spaces, International Mathematics Research Notices, 7302-7340, 2016
  13. Arc complexes, sphere complexes, and Goeritz groups, Michigan Mathematical Journal, 65(2), 333-351, 2016
  14. Stable maps and branched shadows of 3-manifolds, RIMS Kôkyûroku, 1991, 88-97, 2016
  15. Knot homotopy in subspaces of the 3-sphere, Pacific Journal of Mathematics, 282(2), 389-414, 2016
  16. Disk complexes and genus two Heegaard splittings for nonprime 3-manifolds, International Mathematics Research Notices, 2015(12), 4344-4371, 2015
  17. The Goeritz groups of Heegaard splittings for 3-manifolds, RIMS Kôkyûroku, 1960, 46-58, 2015
  18. Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots, Mathematical Proceedings of the Cambridge Philosophical Society, 159(1), 1-22, 2015
  19. Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors, Transactions of the American Mathematical Society, 367(4), 2875-2904, 2015
  20. The genus two Goeritz group of S2 x S1, Mathematical Research Letters, 21(3), 449-460, 2014
  21. Topological symmetry groups and mapping class groups for spatial graphs, Michigan Mathematical Journal, 62(1), 131-142, 2013
  22. (2+1)-dimensional TQFT model for Colored Turaev-Viro invariants, International Mathematics Research Notices, 2013(1), 218-242, 2013
  23. The Reidemeister-Turaev torsion of standard Spin c structures on Seifert fibered 3-manifolds, Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6, 21(4), 745-768, 2012
  24. Links and spines, Journal of Knot Theory and its Ramifications, 21(3), 1250027-27pp, 2012
  25. Tunnel complexes of 3-manifolds, Algebraic & Geometric Topology, 11(1), 417-447, 2011
  26. Colored Turaev-Viro invariants of twist knots, Topology and its Applications, 156(3), 577-593, 2009
  27. A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion, Mathematische Zeitschrift, 260(1), 203-228, 2008
  28. Spines, Heegaard splittings and the Reidemeister-Turaev torsion, Tokyo Journal of Mathematics, 30(2), 417-439, 2007
  29. Branched spines and Heegaard genus of 3-manifolds, Manuscripta Mathematica, 123(3), 285-299, 2007
  30. Strongly-cyclic branched coverings and the Alexander polynomial of knots in rational homology spheres, Mathematical Proceedings of the Cambridge Philosophical Society, 142(2), 259-268, 2007

Invited Lecture, Oral Presentation, Poster Presentation

  1. Positive flow-spines and contact 3-manifolds, Koda, Yuya, Ishii, Ippei; Ishikawa, Masaharu; Naoe, Hironobu, Intelligence of Low-dimensional Topology, 2019/05/23, With Invitation, English, RIMS
  2. Positive flow-spines and contact 3-manifolds, Koda, Yuya, Ishii, Ippei; Ishikawa, Masaharu; Naoe, Hironobu, Workshop ``New development of low-dimensional topology", 2018/12/08, With Invitation, English, Hakone
  3. Extending automorphisms of the genus-2 surface over the 3-sphere, Koda, Yuya, Funayoshi, Kenta, Topology Seminar, Chung-Ang University, 2018/03/23, With Invitation, English, Chung-Ang University
  4. The mapping class groups of Heegaard splittings for 3-manifolds, Koda, Yuya, Cho, Sangbum, Capital Normal University-Hiroshima University Joint conference on Mathematics, 2017/09/21, With Invitation, English, Capital Normal University
  5. The mapping class groups of reducible Heegaard splittings of genus two, Sangbum Cho, Yuya Koda, The 12th East Asian School of Knots and Related Topics, 2017/02/15, With Invitation, English, The University of Tokyo
  6. The Goeritz groups of Heegaard splittings for 3-manifolds, Yuya Koda, Sangbum Cho, AMS Sectional Meeting ``Special Session on Decomposing 3-manifolds", 2016/09/24, With Invitation, English, Tao Li, Scott Taylor, Bowdoin College
  7. Stable maps and branched shadows of 3-manifolds, Yuya Koda, Masaharu Ishikawa, The 7th HYU Math-Workshop ``Low Dimensional Topology", 2016/09/09, With Invitation, English, Hanyang University
  8. Haken spheres for genus two Heegaard splittings, Sangbum Cho, Yuya Koda, The 11th East Asian School of Knots and Related Topics, 2016/01/27, With Invitation, English
  9. Stable maps and branched shadows of 3-manifolds, Masaharu Ishikawa, Yuya Koda, The 3rd Franco-Japanese-Vietnamese Symposium on Singularities, 2015/12/04, Without Invitation, Japanese
  10. The Goeritz groups of 3-manifolds, Sangbum Cho, Yuya Koda, 2015/01/13, With Invitation, English
  11. The tree of tunnels for knots in S2×S1, Yuya Koda, Sangbum Cho, AMS Sectional Meeting ``Special Session on Spatial Graphs", 2015/10/25, With Invitation, English, California State University, Fullerton (USA)
  12. Stable maps and branched shadows of 3-manifolds, Yuya Koda, Masaharu Ishikawa, N-KOOK seminar, 2015/10/03, With Invitation, Japanese, Osaka City University
  13. On the moduli spaces of handlebody-knots, Yuya Koda, 2015/09/26, With Invitation, Japanese, Waseda University
  14. Arc complexes, sphere complexes and Goeritz groups, Yuya Koda, Sangbum Cho, Arim Seo, 2015/08/31, With Invitation, Japanese, Tokyo University of Agriculture and Technology
  15. The Goeritz groups of Heegaard splittings, Yuya Koda, Sangbum Cho, 2015/07/15, With Invitation, Japanese, Tokyo Institute of Technology
  16. The Goeritz groups of Heegaard splittings --finite presentations and its applications--, Yuya Koda, Sangbum Cho, 2015/07/03, With Invitation, Japanese, Tokyo University of Science
  17. Stable maps and hyperbolic volumes of 3-manifolds, Masaharu Ishikawa, Yuya Koda, Singularities in Generic Geometry and applications, 2015/06/10, With Invitation, English
  18. Stable maps and branched shadows of 3-manifolds, Yuya Koda, Masaharu Ishikawa, Topology, Geometry and Algebra of low-dimensional manifolds, 2015/05/26, With Invitation, English, Numazu
  19. The Goeritz groups of Heegaard splittings for 3-manifolds, Yuya Koda, Sangbum Cho, Intelligence of Low-dimensional Topology, 2015/05/21, With Invitation, English, Research Institute for Mathematical Sciences, Kyoto University
  20. Stable maps and branched shadows of 3-manifolds, Yuya Koda, Masaharu Ishikawa, Branched Coverings, Degenerations, and Related Topics 2015, 2015/02/21, With Invitation, Japanese, Tohoku gakuin University
  21. The Goeritz groups of 3-manifolds, Sangbum Cho, Yuya Koda, 2015 KMS Spring Meeting, 2015/04/25, With Invitation, English
  22. Knot homotopy in subspaces of the 3-sphere, Makoto Ozawa, Yuya Koda, 2015/03/24, Without Invitation, Japanese
  23. Stable maps and branched shadows of 3-manifolds, Yuya Koda, Masaharu Ishikawa, 2015/01/13, With Invitation, Japanese, Hiroshima University
  24. Knot homotopy in subspaces of the 3-sphere, Yuya Koda, Sangbum Cho, The 5th HYU Math-Workshop ``Low Dimensional Topology", 2015/02/04, With Invitation, English, Hanyang University, Seoul (Korea)

Social Activities

Organizing Academic Conferences, etc.

  1. Fundamental Groups, Representations and Geometric Structures in 3-Manifold Topology, Teruaki Kitano, Yuya Koda, Takayuki Morifuji, 2016/11, 2016/11