YUKA KOTORII

Last Updated :2024/07/03

Affiliations, Positions
Hiroshima University
E-mail
kotoriihiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Tokyo Institute of Technology
  • Tokyo Institute of Technology
  • Tokyo Institute of Technology

Research Keywords

  • Knot theory
  • Low dimensional topology

Educational Activity

Course in Charge

  1. 2024, Graduate Education (Master's Program) , Intensive, Introduction to Basic Science Researcher
  2. 2024, Graduate Education (Master's Program) , 3Term, Introduction to topology
  3. 2024, Undergraduate Education, 3Term, Algebra
  4. 2024, Undergraduate Education, 3Term, Seminar in Mathematics I
  5. 2024, Undergraduate Education, 4Term, Seminar in Mathematics II
  6. 2024, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2024, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  8. 2024, Graduate Education (Master's Program) , Academic Year, Geometric and Algebraic Analysis Seminar
  9. 2024, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  10. 2024, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  11. 2024, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  12. 2024, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Link-homotopy classes of 4-component links, claspers and the Habegger-Lin algorithm, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 32(6), 202305
    Link to Paper Search Results by DOI
  2. 1 minute talk slide, Women in Mathematics, 202306
  3. Goussarov-Polyak-Viro conjecture for degree three case, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 31(05), 202204
    Link to Paper Search Results by DOI
  4. Goussarov-Polyak-Viro's $n$-equivalence and the pure virtual braid group, Kobe J. Math., 38(1-2), 53-72, 202112
  5. HL-homotopy of handlebody-links and Milnor's invariants, TOPOLOGY AND ITS APPLICATIONS, 221, 715-736, 201704
  6. A relation between Milnor's mu-invariants and HOMFLYPT polynomials, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25(13), 201611
  7. Milnor invariants of length 2k+2 for links with vanishing Milnor invariants of length <= k, TOPOLOGY AND ITS APPLICATIONS, 184, 87-100, 201504
  8. Finite type invariants for cyclic equivalence classes of nanophrases, FUNDAMENTA MATHEMATICAE, 225, 211-228, 2014
  9. The milnor μ̄ invariants and nanophrases, Journal of Knot Theory and its Ramifications, 22(2), 201302

Invited Lecture, Oral Presentation, Poster Presentation

  1. "Link-homotopy" of spatial graphs, Yuka Kotorii, Atsuhiko Mizusawa, Winter School on Low-dimensional Topology and Rerated Topics, 2023/12, Without Invitation, English, Institute of Basic Science, Center for Geometry and Physics (IBS-CGP), POSTECH, Korea
  2. Homotopy theories of colored links and spatial graphs, Yuka Kotorii, Atsuhiko Mizusawa, Center for Topology & Applications Amsterdam (CTA2), 2024/03, With Invitation, English, Vrije Universiteit Amsterdam, Free university, Netherlands
  3. Entanglement of spatial graph, Yuka Kotorii, Atsuhiko Mizusawa, WPI-SKCM2 Nara Spring Symposium, 2024/03, With Invitation, Japanese, WPI-SKCM2, Nara
  4. Fundamental problems of knot theory and my recent research, Yuka Kotorii, Atsuhiko Mizusawa, SKCM2 2023 Winter School, 2023/12, With Invitation, English, WPI-SKCM2, Hiroshima university
  5. "Link-homotopy" of links, colored links and spatial graphs, Yuka Kotorii, Atsuhiko Mizusawa, Dynamics & Statistics of Chiral Topological Matter, 2023/10, With Invitation, English, WPI-SKCM2, Massachusetts Institute of Technology, USA
  6. On ribbon Yetter-Drinfeld modules and tangle invariants, part2, Yuka Kotorii, Kazuo Habiro, Mini-workshop on Low-dimensional Topology, 2024/06, With Invitation, Japanese, Institute of Basic Science, Center for Geometry and Physics(IBS-CGP), POSTECH, Korea,
  7. On ribbon Yetter-Drinfeld modules and tangle invariants part1, Yuka Kotorii, Kazuo Habiro, Mini-workshop on Low-dimensional Topology, 2023/06, With Invitation, English, Institute of Basic Science, Center for Geometry and Physics(IBS-CGP), POSTECH, Korea
  8. Links, linking numbers and link invariants, Yuka Kotorii, SKCM2 weekly online seminar, 2022/12, With Invitation, English
  9. Link invariants and link-homotopy, Yuka Kotorii, SKCM2 Kick-off Symposium Hiroshima Uni- versity, 2023/03, With Invitation, English
  10. On ribbon Yetter-Drinfeld modules and tangle invariants, Yuka Kotorii, Kazuo Habiro, Mini-workshop on Low-dimensional Topology, 2023/04, With Invitation, English, Institute of Basic Science, Center for Geometry and Physics(IBS-CGP)
  11. Linking numbers of random links, 2021/03, With Invitation, Japanese
  12. クラスパーを用いた4成分絡み目のlink-homotopy類の分類, Yuka Kotorii; Atsuhiko Mizusawa, 日本数学会2019年度秋季総合分科会, 2019/09
  13. On Levine's classification of link-homotopy classes of 4- component links, Yuka Kotorii, Friday Seminar on Knot Theory, advanced mathematical institute, 2019/07, 大阪市立大学数学研究所
  14. Introduction to Milnor invariant -from classical knots to handlebody-links-, Yuka Kotorii, ハ ンドル体結び目とその周辺12, 2019/07, 筑波大学
  15. Link-homotopy classes of 4-component links and clasper theory, Yuka Kotorii, Young Topologist meeting 2019, 2019/07, Swiss Federal Institute of Technology of Lausanne (EPFL), Switzerland
  16. On Milnor's invariants and handle body-links, Yuka Kotorii, Young Topologist meeting 2019, 2019/07, Swiss Federal Institute of Technology of Lausanne (EPFL)(EPFL), Switzerland
  17. On link-homotopy classes of 4-component links and clasper presentations, Yuka Kotorii, The 2nd Meeting on Spatial Graph Theory, 2019/07
  18. On the degree three case of Goussarov-Polyak-Viro conjecture of knot, Noboru Ito; Yuka Kotorii, 日本数学会2018年度年会プログラム, 2019/03
  19. On random knot, Yuka Kotorii, 第二回理研AIP数学系合同セミナー, 2019/03
  20. 結び目のトポロジー, Yuka Kotorii, 第２回自然科学の数学的原理, 2019/02, Kyoto University
  21. On random models of links and linking numbers, Yuka Kotorii, 京都大学高等研究院平岡研究室セミナー, 2019/01, Kyoto University
  22. On combinatorial formulas of finite type invariant for knots, 2018/11
  23. Goussarov-Polyak-Viro's finite type invariant and a local move on virtual knots, Yuka Kotorii, 10th KOOK-TAPU workshop, 2018/07
  24. On a local move related to Goussarov-Polyak-Viro’s finite type invariant on virtual knots, Yuka Kotorii, Tsuda-Gakugei Topology Workshop, 2018/07
  25. Topology and machine leaning, Yuka Kotorii, 2018/04
  26. $C_n$-move on long virtual knot and Goussarov-Polyak-Viro's finite type invariants, Yuka Kotorii, 日本数学会2017年度年会プログラム, 2018/03
  27. On Goussarov-Polyak-Viro’s finite type invariants and a virtual Cn-equivalence on long virtual knots, Yuka Kotorii, 2018/01
  28. On virtual Cn-moves on virtual knots, Yuka Kotorii, 2017/12
  29. Virtual $C_n$-moves on long virtual knots, Yuka Kotorii, Manturov seminar, Moscow State University, Lando-Kazarian Seminar, Russia, 2017/09, Moscow State University, Russia
  30. Milnor's link-homotopy invariants for handlebody-links, Yuka Kotorii, Geometric Topology Seminar, Higher School of Economics, 2017/09
  31. Virtual Cn-moves on long virtual knots, Yuka Kotorii, Lando-Kazarian Seminar, Higher School of Economics, Russia, 2017/08
  32. On Δ-link homotopy, Yuka Kotorii, Geometric Topology Seminar, Higher School of Economics, Russia, 2017/08
  33. On higher order linking numbers for handlebody-links, Yuka Kotorii, 大阪大学幾何セミナー, 2017/07
  34. \On link-homotopy classes of handlebody-links, Yuka Kotorii, Friday Seminar on Knot Theory, Osaka city university advanced mathematical institute, 2017/04
  35. Milnor invariant for bouquet graphs, Yuka Kotorii, 第40回伊豆トポロジーセミナー, 2017/03
  36. 結び目理論について, Yuka Kotorii, 神戸研究発表会, 2016/12, 理化学研究所
  37. Milnor invariant and its relationship with Alexander polynomial, Yuka Kotorii, 筑波大学トポ ロジーセミナー, 2016/11
  38. Milnor invariant for handlebody-links, Yuka Kotorii; Atsuhiko Mizusawa, 日本数学会2016年度秋季総合分科会プログラム, 2016/09
  39. On Milnor's invariants for handlebody-links, Yuka Kotorii, 2016/09
  40. On Milnor's $\bar{\mu}$-invariants for handlebody-links, Yuka Kotorii, International Workshop on Spatial Graphs 2016, 2016/08
  41. 結び目の不変量, Yuka Kotorii, 無限群と幾何学の新展開のアウトリーチについての研究会, 2016/06, 東京大学玉原国際セミナーハウス, 東京大学
  42. On handlebody-links and Milnor's link-homotopy invariants, Yuka Kotorii, Intelligence of Low-dimensional Topology, 2016/06, RIMS, Kyoto, Japan
  43. On Milnor's link-homotopy invariants for handlebody-links, Yuka Kotorii, 東京大学トポロ ジー火曜セミナー, 2016/05, 東京大学玉原国際セミナーハウス, 東京大学
  44. ハンドル体絡み目のミルナー不変量とHL-ホモトピー分類について, Yuka Kotorii, 東京女子大学トポロジーセミナー, 2016/04
  45. 絡み数が消えた3成分ハンドル体絡み目のHBL-homotopy類について, Yuka Kotorii; Atsuhiko Mizusawa, 日本数学会2015年度春季総合分科会プログラム, 2016/03
  46. On HBL-homotopy classes of 3-component handlebody-links with vanishing linking numbers, Yuka Kotorii, The 11th East Asian School of Knots and Related Topics, 2016/01, Osaka City University, Japan
  47. ハンドル体絡み目のHBL ホモトピーとMilnor 不変量, Yuka Kotorii, 生命ダイナミク スの数理とその応用, 2015/12, 東京大学
  48. 結び目理論とその応用, Yuka Kotorii, 数理科学と分子生物学を融合する研究・教育のアウトリー チについての研究会, 2015/06
  49. Relationship between the Milnor's $\mu$-invariant and HOMFLYPT polynomial, Yuka Kotorii, Topology, Geometry and Algebra of low-dimensional manifolds, RIMS seminar, 2015/06
  50. Milnor 不変量とその応用, Yuka Kotorii, 東京大学第９回ミニ数理デザイン道場, 2015/04
  51. 結び目のHOMFLY多項式を用いたMilnorの$\mu$-不変量の表現, Yuka Kotorii, 第11回数学総合 若手研究集会, 2015/03, 北海道大学
  52. ストリング絡み目のMilnor不変量とHOMFLY多項式との関係について, Yuka Kotorii, 東京女子大学トポロジーセミナー, 2014/10
  53. Representing Milnor's $\mu$-invariant by HOMFLY polynomials, Yuka Kotorii, 九州大学トポロジー金曜セミナー, 2014/10
  54. ミルナーの$\mu$不変量とHOMFLYPT多項式の関係について, Yuka Kotorii, 日本数学会2014年度秋季総合分科会プログラム, 2014/09, 広島大学
  55. A relation between Milnor's $\bar{\mu}$-invariant and HOMFLYPT polynomial, Yuka Kotorii, International Congress of Woman Mathematicians 2014 (ICWM 2014), 2014/08, Ewha Womans University, Seoul Korea
  56. On relation between the Milnor's $\mu$-invariant and HOMFLYPT polynomial, Yuka Kotorii, 東京大学トポロジー火曜セミナー, 2014/06
  57. On triple linking numbers, Yuka Kotorii, 2014琉球結び目セミナー, 2014/06
  58. 絡み目のMilnor不変量とホンフリー多項式の関係について, Yuka Kotorii, 第11 回城崎新人セミナー～幾何学を中心とした現代数学の進展～, 2014/03
  59. Relation between the Milnor's $\bar{\mu}$-invariant and HOMFLYPT polynomial, Yuka Kotorii, Knots in Washington XXXVII, 2014/01, Washington University, USA
  60. The relation between Milnor $\mu$-invariant and HOMFLYPT polynomial for links, Yuka Kotorii, Friday Seminar on Knot Theory, Osaka city university advanced mathematical institute, 2013/11
  61. On a relation between Milnor invariant and HOMFLYPT polynomial, Yuka Kotorii, Buck's group seminar, Imperial College London, 2013/06
  62. Milnor不変量とHOMFLYPT多項式について, Yuka Kotorii, Spring Workshop 2013 on Low-Dimensional Topology and its Ramifications, 2013/03, 名城大学
  63. On cyclic equivalence classes of nanowords and finite type invariants, Yuka Kotorii, Knots in Washington XXXV; Knots, Algebras, and Quandles; Geometric Aspects; Quantum Computing, 2012/12, George Washington University, USA
  64. Finite type invariants for cyclic equivalence classes of nanophrases, Yuka Kotorii, 第8回数学総合若手研究集会～数学を中心とした広範な知識の交流～, 2012/02
  65. $\bar{\mu}$ invariant of nanophrases, Yuka Kotorii, The 8th East Asian School of Knots and Related Topics, 2012/01, KAIST, Daejeon, Korea
  66. $\bar{\mu}$ invariant of nanophrases, Yuka Kotorii, 結び目の数学IV, 2011/12, 東京女子大学
  67. Arnold basic invariants and finite type invariants, Yuka Kotorii, CompView GCOE Final Symposium, 2011/12
  68. $\bar{\mu}$ invariant of nanophrases, Yuka Kotorii, 東京工業大学村上斉研究室グループセミナー, 2011/10

Social Activities

Organizing Academic Conferences, etc.

  1. トポロジーとコンピュータ2022, 2022/10, 2022/10
  2. Topology and Geometry of Low-dimensional Manifolds, 2023/11, 2023/11
  3. 数理・情報系研究集会@広島大, 2023/11, 2023/11
  4. Topology and Geometry of Low- dimensional Manifolds, 2022/11, 2022/11
  5. 2021/08, 2021/08
  6. Topology and Geometry of Low- dimensional Manifolds, 2022/01, 2022/01