Talks

132. On Conway--Gordon's spatial complete graph on 7 vertices, Workshop on Knot Theory, Tokyo Woman's Christian University, Feb. 14, 2024.

131. Recent topics on intrinsic properties of spatial graphs, Mini-symposium on Graph Theory and Related Fields, Japanese Conference on Combinatorics and its Application 2023, Aichi University of Education, Aug. 28, 2023.

130. Converses to generalized Conway-Gordon type congruences, Knots and Spatial Graphs 2023, KAIST, June 16, 2023.


129. Crossing numbers and rotation numbers of cycles in a plane immersed graph (with N. Kimura, A. Inoue and K. Taniyama) [Speaker: N. Kimura], Extended KOOK Seminar 2022, Kobe University, Aug. 30, 2022.

128. Capturing links in spatial complete graphs, AMS Sectional meeting (2021 Fall Southeastern Sectional Meeting, formerly at the University of South Alabama), Online, Nov. 20-21, 2021.

127. Conway-Gordon theorems and Vassiliev invariants, Workshop on Knot Theory, Online, Sep. 4, 2021.


126. Intrinsic knotting and linking on complete graphs, Mini-symposium on Knot Theory, Japanese Conference on Combinatorics and its Application 2020, Online, Aug. 19, 2020.

125. Linear spatial complete graphs and generalized Conway-Gordon theorems, Knots and Spatial Graphs 2020, KAIST, Feb. 18, 2020


124. $n$-Flat Graphs (with R. Naimi, Y. Tsutsumi and H. Zhao) [Speaker: R. Naimi], AMS Sectional meeting (2019 Fall Western Sectional Meeting), University of California, Riverside, Nov. 10, 2019

123. Generalizations of the Conway-Gordon theorems and intrinsic knotting on complete graphs (with H. Morishita), AMS Sectional meeting (2019 Fall Western Sectional Meeting), University of California, Riverside, Nov. 9, 2019

122. Topology of Spatial Graphs - Extrinsic properties and Intrinsic properties - , Summer School on Mathematical Physics 2019, University of Tokyo, Aug. 23, 24, 25, 2019 (Photo)

121. On refinements and generalizations of the Conway-Gordon theorems, The 66th Topology Symposium, Nigiwai Koryukan AU (Akita), Aug.10, 2019

120. A preorder in the set of genus two irreducible handlebody-knot table with up to 6 crossings (with Y. Ozawa and M. Suzuki), Handlebody-knots and Related Topics 12, University of Tsukuba, July 15, 2019

119. On generalizations of the Conway-Gordon theorems, Intelligence of Low-dimensional Topology, Research Institute for Mathematical Sciences, Kyoto University, May 22, 2019

118. Non-existence of epimorphisms between certain genus two handlebody-knot groups, Claremont Topology Seminar, Claremont McKenna College, Mar. 7, 2019


117. Conway-Gordon type theorems on spatial complete graphs on 8 vertices (with H. Morishita) [Speaker: H. Morishita], Tohoku Knot Seminar 2018, Akita College Plaza, Oct. 5, 2018

116. Non-existence of epimorphisms between certain genus two handlebody-knot groups (with Y. Ozawa) [Speaker: Y. Ozawa], Tohoku Knot Seminar 2018, Akita College Plaza, Oct. 5, 2018

115. Generalization of the Conway-Gordon theorems and intrinsic knotting on complete graphs, Seminar on Geometric Topology of dimension 3, Nihon University, June 26, 2018.

114. Intrinsic knotting on spatial complete graphs on 8 vertices, N-KOOK Seminar, Osaka City University Bunka Koryu Center, May 19, 2018.

113. Random linear embeddings of spatial graphs and configurations of Mobius ladders (with E. Flapan and K. Kozai) [Speaker: K. Kozai], AMS Sectional Meetings (2018 Spring Eastern Sectional Meeting), Northeastern University, Boston, Apr. 21, 2018.

112. Conway-Gordon type theorems for Hamiltonian knots in spatial complete graphs, An invited talk at Hanyang University, Feb. 26, 2018.

111. Regular isotopy on spatial graphs and adjusted diagrams, School of Spatial Graph Theory, Nihon University, Jan. 23, 2018.

110. On adjusted diagrams of spatial graphs, Knots in Ryukyus 2017, Tenbusu Naha, Jan. 21, 2018.


109. Conway-Gordon Type Theorems, Session on Spatial Graph Theory, MAA MathFest 2017, Hilton Chicago, July 26-29, 2017.

108. A regular isotopy between two spatial graphs which are ambient isotopic, Friday Seminar on Knot Theory, Osaka City University Advanced Mathematical Institute, May 12, 2017.

107. Generalized Simon invariants of spatial graphs (with E. Flapan and W. Fletcher) [Speaker: E. Flapan], AMS Sectional Meetings (2017 Spring Southeastern Sectional Meeting), College of Charleston, Charleston, Mar. 10, 2017.


106. Linear embeddings of a graph into the 3-space and Conway-Gordon type theorems, International workshop on Topology and graphs in polymer chemistry, Tokyo Institute of Technology, Aug. 6, 2016.

105. Free differential calculus and classical and twisted Alexander invariants of spatial graphs, International Workshop on Spatial Graphs 2016, Waseda University, Aug. 5, 2016.

104. A calculation of the difference of the Jones polyomials for a certain pair of knots, Knots in Ryukyus 2016, Tenbusu Naha, Feb. 20, 2016.


103. On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links (with A. Ishii and K. Oshiro), AMS Sectional Meetings (2015 Fall Western Sectional Meeting), California State University, Fullerton, Oct. 24, 2015.

102. Calculation of Alexander invariants of spatial graphs, Handlebody-knots and related topics VIII, Waseda University, Sep. 27, 2015.

101. Common factors of Jones polynomials for links and Vassiliev invariants, Extended KOOK Seminar 2015, Kobe University, Aug. 20, 2015.

100. On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links (with A. Ishii and K. Oshiro), Friday Seminar on Knot Theory, Osaka City University Advanced Mathematical Institute, May 1, 2015.


99. Conway-Gordon Type Theorems and its Applications I, II, III, The 4th HYU MATH-Workshop: Low Dimensional Topology, Hanyang University, Oct. 23, 24, 2014.

98. Reduced Wu and generalized Simon invariants for spatial graphs (with Erica Flapan and Will Fletcher) [Speaker: E. Flapan], AMS Sectional Meetings (2014 Western Spring Sectional Meeting), University of New Mexico, Albuquerque, NM, Apr. 6, 2014.


97. On a generalization of the Simon invariant, Knots in Ryukyus 2013, Tenbusu Naha, Sep. 12, 2013.

96. On reduced Wu invariants of spatial graphs, International Workshop on Spatial Graphs 2013, Tokyo Woman's Christian University, Aug. 13, 2013

95. Conway-Gordon type theorem for the complete four-partite graph $K_{3,3,1,1}$, Spatial Graphs Conference, Loyola Marymount University, June 8, 2013.

94. On reduced Wu invariants of spatial graphs and the intrinsic chirality, Tokyo Woman's Christian University Topology Seminar, May 11, 2013

93. A homotopy classification of two-component spatial graphs up to neighborhood equivalence, Claremont Topology Seminar, Pomona College, Feb. 26, 2013.


92. Capturing a knot in a spatial intrinsically knotted graph, Knots in Ryukyus 2012, Tenbusu Naha, Sep. 4, 2012.

91. $\triangle Y$-exchanges and Conway-Gordon type theorems, Knots and Spatial Graphs 2012, Korea Advanced Institute of Science and Technology, Aug. 15, 2012 (Lecture Video)

90. Mathematics identifying a circle with a square -- Topological thought, Yumenavi LIVE 2012, TOKYO BIG SIGHT, July. 14, 2012

89. On the Heawood graph as an intrinsically knotted graph, University of Tsukuba Topology Seminar, July. 4, 2012

88. $\triangle Y$-exchanges and Conway-Gordon type theorems, Intelligence of Low-dimensional Topology, Research Institute for Mathematical Sciences, Kyoto University, May 16, 2012.

87. On invariants of knots and links in a spatial complete four-partite graph $K_{3,3,1,1}$ (with H. Hashimoto), The Eighth East Asian School of Knots and Related Topics, Korea Advanced Institute of Science and Technology, Jan. 10, 2012.

86. On Conway-Gordon type theorems for graphs in the Petersen family (with H. Hashimoto) [Speaker: H. Hashimoto], The Eighth East Asian School of Knots and Related Topics, Korea Advanced Institute of Science and Technology, Jan. 9, 2012.


85. On invariants of knots and links in a spatial complete four-partite graph $K_{3,3,1,1}$ (with H. Hashimoto) [Speaker: H. Hashimoto], Mathematics of Knots IV, Tokyo Woman's Christian University, Dec. 25, 2011.

84. Mathematics of knots, Local five components studies in Musashino Area Free University, Tokyo Woman's Christian University, Nov. 1, 2011.

83. On invariants of knots and links in spatial graphs, Knots in Ryukyus 2011, Naha City Traditional Arts and Crafts Center, Sep. 7, 2011.

82. $\triangle Y$-exchanges and the Conway-Gordon theorems (with K. Taniyama), Group Seminar @ Murakami Lab, Tokyo Institute of Technology, May 24, 2011.

81. On the Conway-Gordon theorems, 7th Workshop on Combinatorics for Young Researchers, Keio University, Feb. 21, 2011

80. $\triangle Y$-exchanges and the Conway-Gordon theorems (with K. Taniyama), The Seventh East Asian School of Knots and Related Topics, Saijo Hakuwa Hotel, Jan. 11, 2011

79. On Alexander ideals for Suzuki's spatial $\theta_{n}$-curves (with Y. Satoh) [Speaker: Y. Satoh], The Seventh East Asian School of Knots and Related Topics, Saijo Hakuwa Hotel, Jan. 10, 2011


78. On intrinsically knotted or completely 3-linked graphs (with R. Hanaki, K. Taniyama and A. Yamazaki) [Speaker: R. Hanaki], Mathematical Society of Japan, Nagoya University, Sep. 22, 2010

77. On the Conway-Gordon theorems, International Workshop on Spatial Graphs 2010, Waseda University, Aug. 20, 2010

76. Some remarks on knots and links in rectilinear spatial complete graphs on eight vertices, Knot Theory, Tokyo Woman's Christian University, Mar. 20, 2010


75. On intrinsically knotted or completely 3-linked graphs (with R. Hanaki, K. Taniyama and A. Yamazaki) [Speaker: R. Hanaki], Mathematics of Knots II, Waseda University, Dec. 25, 2009

74. On intrinsically knotted or completely 3-linked graphs (with R. Hanaki, K. Taniyama and A. Yamazaki) [Speaker: R. Hanaki], The 21th Workshop on Topological Graph Theory, Yokohama National University, Nov. 26, 2009

73. Classification of spatial complete graphs on four vertices up to $C_{5}$-moves (with A. Yasuhara), Intelligence of Low Dimensional Topology in honor of Professor Kunio Murasugi's 80th birthday, Osaka City University, Nov. 13, 2009

72. On intrinsically knotted or completely 3-linked graphs (with R. Hanaki, K. Taniyama and A. Yamazaki) [Speaker: R. Hanaki], Friday Seminar on Knot Theory, Osaka City University Advanced Mathematical Institute, Oct. 23, 2009

71. Local moves on spatial handcuff graphs (with T. Hoki and K. Taniyama) [Speaker: K. Taniyama], Tokyo Woman's Christian University Topology Seminar, June. 20, 2009

70. A refinement of Conway-Gordon's theorem, Friday Seminar on Knot Theory, Osaka City University Advanced Mathematical Institute, June 19, 2009

69. Local moves on spatial handcuff graphs (with T. Hoki and K. Taniyama) [Speaker: K. Taniyama], University of Tsukuba Topology Seminar, June. 4, 2009

68. A refinement of Conway-Gordon's theorem and its applications, Tokyo Woman's Christian University Topology Seminar, May 23, 2009

67. A refinement of Conway-Gordon's theorem and its applications, Tokyo Woman's Christian University Topology Seminar (extended), Mar. 21, 2009


66. Knots in rectilinear spatial complete graphs and homological invariants, Mathematics of Knots, Tokyo Woman's Christian University, Dec. 24, 2008

65. An intrinsic non-triviality of graphs, Tokyo Woman's Christian University Topology Seminar, July 19, 2008

64. Topology of knots, links and spatial graphs, Lecture Meeting of the Academic Society of Tokyo Woman's Christian University, July 18, 2008

63. An intrinsic non-triviality of graphs, AMS Sectional Meetings (2008 Spring Western Section Meeting), Claremont McKenna College, May. 4, 2008

62. Clasp-pass moves on spatial handcuff graphs (with T. Hoki and K. Taniyama) [Speaker: K. Taniyama], AMS Sectional Meetings (2008 Spring Western Section Meeting), Claremont McKenna College, May. 4, 2008

61. On spatial graph diagrams with at most three crossings (with Y. Huh), The Fourth East Asian School of Knots, Links and Related Topics, University of Tokyo, Jan. 22, 2008


60. On spatial graph diagrams with at most three crossings (with Y. Huh), Topology of Knots X, Tokyo Woman's Christian University, Dec. 23, 2007

59. Homotopy on spatial graphs and generalized Sato-Levine invariants, Knotting Mathematics and Art, University of South Florida, Nov. 4, 2007

58. Homotopy on spatial graphs and generalized Sato-Levine invariants, Intelligence of Low Dimensional Topology, Osaka City University, Aug. 31, 2007

57. Homotopy on spatial graphs and generalized Sato-Levine invariants, Tokyo Woman's Christian University Topology Seminar, July 21, 2007

56. Symmetries of spatial graphs and Simon invariants (with K. Taniyama), Third First East Asian School of Knots, Links and Related Topics, Osaka City University, Feb. 5, 2007


55. Minimalizability of graphs and generalized knotted projections (with K. Kobayashi), Topology of Knots IX, Dec. 20, 2006

54. Symmetries of spatial graphs and Simon invariants (with K. Taniyama) [Speaker: K. Taniyama], Topology of Knots IX, Dec. 19, 2006

53. Symmetries of spatial graphs and Simon invariants (with K. Taniyama) [Speaker: K. Taniyama], Tokyo Woman's Christian University Topology Seminar, Nov. 18, 2006

52. Achirality of spatial graphs and the Simon invariant, Intelligence of Low Dimensional Topology 2006, Hiroshima University, July. 23, 2006

51. Completely distinguishable projections of spatial graphs, International Workshop on Knot Theory for Scientific Objects, Osaka City University, Mar. 10, 2006

50. Invariants and regular projections on spatial graphs, Mathematical Sciences Colloquium, Kanazawa University, Jan. 18, 2006


49. Homotopy on spatial graphs and the Sato-Levine invariant (with T. Fleming), Topology of Knots VIII, Tokyo Waseda University, Dec. 25, 2005

48. Unknotting theorem for delta and sharp edge-homotopy, The Third KAIST Geometric Topology Fair, Gyeongju Temf Hotel, Korea, July. 1, 2005

47. Knotted projection, identifiable projection and completely distingushable projection, The Third KAIST Geometric Topology Fair, Korea Advanced Institute of Science and Technology, June. 29, 2005

46. Unknotting theorem for delta and sharp edge-homotopy, Mathematical Society of Japan, Nihon University, Mar. 29, 2005

45. Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots, Tohoku Knot Seminar in Akita, Akita Shimin Kouryu Plaza (ALVE), Feb. 12, 2005

44. Invariants of spatial graphs via disk-summing the constituent knots, Kansai Low-Dimensional Topology Fresher's Seminar, Osaka Sangyo University Umeda Satellite, Jan. 18, 2005


43. Completely distinguishable projections of spatial graphs, Topology of Knots VII, Tokyo Woman's Christian University, Dec. 25, 2004

42. On the knotted projections of spatial graphs, Intelligence of Low Dimensional Topology 2004, Osaka City University Bunka Kouryu Center, Oct. 26, 2004

41. Regular projections of spatial graphs, Colloquium of Department of Mathematics, University of South Florida, Sep. 10, 2004

40. Invariants and local moves on spatial graphs, International Workshop on Knots and Links in a Spatial Graph, Waseda University, July. 27, 2004

39. A survey on the regular projection of spatial graphs, International Workshop on Knots and Links in a Spatial Graph, Waseda University, July. 25, 2004

38. Completely distinguishable projections of spatial graphs, First KOOK Seminar International for Knot Theory and Related Topics, Awaji Yumebutai (International Conference Center in Awaji-Shima Island, Japan), July. 12, 2004.

37. Delta edge-homotopy on theta curves, Mathematical Society of Japan, University of Tsukuba, Mar. 29, 2004

36. Sharp edge-homotopy on spatial graphs, The First East Asian School of Knots, Links and Related Topics, Kyoyuk Munhwa Hoekwan, Seoul, Korea, Feb. 18, 2004

35. Delta link-homotopy on spatial graphs, Workshop of Fledglings on Low-dimensional Topology, Osaka City University, Feb. 2, 2004

34. Self $\sharp$-moves on spatial graphs, Tohoku Knot Seminar, Yamagata University, Jan. 6, 2004


33. On $n$-panelled spatial graphs, $n$-flat graphs and graph minors (with Y. Tsutsumi), Topology of Knots VI, Nihon University, Dec. 16, 2003

32. On Milnor invariants of associated links for spatial complete graphs on four vertices, The 15th Workshop on Topological Graph Theory, Yokohama National University, Nov. 20, 2003

31. On $n$-panelled spatial graphs, $n$-flat graphs and graph minors (with Y. Tsutsumi) [Speaker: Y. Tsutsumi], The 15th Workshop on Topological Graph Theory, Yokohama National University, Nov. 20, 2003

30. Delta edge-homotopy on theta curves, AMS Sectional Meetings (2003 Fall Southeastern Section Meeting), University of North Carolina at Chapel Hill, Oct. 24-25, 2003

29. Classification of spatial graphs and delta moves, The 37th 7F Seminar, School of Education, Waseda University, Oct. 17, 2003

28. Boundary spatial graphs and classification of them up to self-pass moves (with R. Shinjo), Mathematical Society of Japan, Chiba University, Sep. 25, 2003

27. Delta edge-homotopy on theta curves, Geometry and Algebra of Knots and Manifolds II, Konan University, Sept. 3, 2003

26. On boundary spatial graphs (with R. Shinjo) [Speaker: R. Shinjo], Geometry and Algebra of Knots and Manifolds II, Konan University, Sept. 3, 2003

25. Invariants and local moves on spatial graphs, The 59th Seminar of Mathematics at Yonezawa, Yamagata University, July. 2, 2003

24. Seifert surfaces of knots and links in a spatial graph, Topology Friday Seminar of Kyushu University, June. 13, 2003

23. On boundary spatial graphs (with R. Shinjo), Thursday Seminar of Saitama University, May. 29, 2003

22. On the fundamental homotopy classification of spatial graphs, Tohoku Knot Seminar, Yamagata University, Jan. 6, 2003


21. A remark on the $\alpha$-invariant of spatial graphs , Topology of Knots V, Waseda University, Dec. 16, 2002

20. Invariants and local moves on spatial graphs, The 49th Topology Symposium, Okinawa Seinen Kaikan, July. 25, 2002

19. Delta move and polynomial invariants of links (with T. Kanenobu) [Speaker: Taizo Kanenobu], Topology in Matsue, International Conference on Topology and its Applications, Joined with the Second Japan-Mexico Topology Symposium, Shimane University, July. 27, 2002

18. Homotopy classification of spatial complete graphs on four vertices, Topology Seminar in Waseda University, June. 22, 2002

17. On an invariant of plane immersions of graphs, Winter Workshop of Topology in Sendai 2002, Tohoku University, Jan. 29, 2002


16. Delta move and polynomial invariants of links (with T. Kanenobu), Topology of Knots IV, Osaka City University, Dec. 20, 2001

15. Invariants and local moves on knots, links and spatial graphs , Information Mathematical Sciences Colloquium, Tohoku University, Dec. 13, 2001

14. On an invariant of plane immersions of graphs, The 13rd Workshop on Topological Graph Theory, Yokohama National University, Nov. 9, 2001

13. On an invariant of plane immersions of graphs, Tohoku Knot Seminar, Yamagata University, Aug. 30, 2001

12. Delta move and Vassiliev knot invariants of order 3, Mathematical Society of Japan, Keio University, March. 26, 2001

11. Clasp-pass moves on links and higher order coefficients of the Conway polynomial, Art of Low Dimensional Topology VII, Kansai Seminar House, Feb. 17, 2001


10. Delta link-homotopy on spatial graphs, Topology of Knots III, Tokyo Woman's Christian University, Dec. 22, 2000

9. On a characterization of knots in a spatial embedding of a certain fobbiden graph (with K. Onda), The 12nd Workshop on Topological Graph Theory, Yokohama National University, Nov. 16, 2000

8. On a characterization of knots in a spatial embedding of a certain fobbiden graph (with K. Onda), Mathematical Society of Japan , Kyoto University, Sep. 26, 2000

7. A characterization of knots in a spatial graph II (with K. Onda), Tohoku Knot Seminar, Yamagata University, May. 27, 2000


6. Higher linking modules and local moves on spatial graphs, Topology of Knots II, Tokyo Woman's Christian University, Dec. 20, 1999

5. Higher linking modules and local moves on spatial graphs, Graph Theory and Related Topics, Tohoku University, Nov. 17, 1999

4. The triple linking modules and clasp-pass moves on spatial graphs, Tokyo Woman's Christian University Topology Seminar, Oct. 30, 1999

3. A certain equivalence group of spatial graphs, The 46th Symposium on Geometry, Tokyo University, Aug. 4, 1999

2. Residual cohomology in spatial graph theory, The 7th Japan-Korea School of Knots and Links, St Catherine's College (University of Oxford), Kobe Institute, Feb. 17, 1999


1. Residual cohomology of graphs and spatial graph homology classification, Topology of Knots, Tokyo Woman's Christian University, Dec. 22, 1998

BACK