Title/Conference or Seminar/Place/Date/(Person who had contacted me and given me the chance)

・Any nontrivial knot porjection with no triple chords has a monogon or a bigon, Conference "Mathmatics of Knots IX", Nihon University, December 21, 2016.

・Introduction to Khovanov homology and an R-matrix, Symposium for an intaraction among Mathematics, Physics, Information Sciences, December 17, 2016 (invited by Yukari Funakoshi and Minyo Katagiri)

・A survey of Khovanov homology and a genus bound, Conference "Mathematics and Physics", The first seminar--Topology and Physics--, Nara Women's University, November 7, 2016 (invited by Hiroko Murai and Minyo Katagiri)

・A new aspect of the Arnold invariant J+ from a global viewpoint, Foloations and Diffeomorphism Groups 2016, Tambara Seminar house, The University of Tokyo, October 17, 2016 (invited by Takashi Tsuboi)

・Spaces of chord diagrams of spherical curves I, Autum Meeting of The Mathematical Society of Japan, Kansai University, September 18, 2016.

・(3 sucessive lectures)

1. Nanowords have much informations,

2. Introduction to categorification of knot invariants,

3. On open problems of plane curve theory,

Gifu City Hall, August 2016 (invited by the committee of combinatorics summer school 2016).

・Two thoeoretical approches to difficulties of experiments for RNA and DNA knots, Mathematics of dynamic celluar bioprocesses and its applications---toward finding new problems and new strategies--- Tambara Seminar house, The University of Tokyo, July 28, 2016 (invited by Shigeo Ihara).

・Spaces of chord diagrams of spherical curves, Tuesday Seminar on Topology, The University of Tokyo, June 21, 2016 (invited by Takuya Sakasai).

・Unknotting knots implies understanding the world, "Journalists in Residens", Tambara Seminar house, The University of Tokyo, June 10, 2016 (invited by Takashi Tsuboi).

・Triply-graded knot projections under (1, 3) homotopy, MSJ Spring Meeting 2016, University of Tsukuba, March 16, 2016.

・Thirty-two equivalence relations on knot projections, MSJ Spring Meeting 2016, University of Tasukuba, March 16, 2016.

・Knot projections with reductivity two, "Mathematics of Knots VIII", Waseda University, December 24, 2015.

・Triply graded knot projections under (1, 3) homotopy, Depertment of Mathematics, 7th Floor Seminar, School of Education, Waseda University, December 18, 2015 (invited by Kouki Taniyama).

・Triple chords and knot projections (joint work with Yusuke Takimura), Topology Seminar, Tokyo Woman's Christian University, October 24, 2015.

・Based chord diagrams for spherical curves, MSJ Autumn Meeting 2015, Kyoto Sangyo University, September 13, 2015.

・Introduction to spaces of chord diagrams on the set of the spherical curves, Workshop on Gröbner basis for Young Researchers, Shizuoka University, July 19, 2015 (invited by Yasuhide Numata).

・Classification problems of spherical curves under restricted Reidemeister moves, Shunshu Topology Seminar, Shunshu University, June 24, 2015 (invited by Keiichi Sakai).

・Strong and weak (1, 3) homotopies on spherical curves and related topics (joint work with Y. Takimura and K. Taniyama), Intelligence of Low-dimensional Topology, Room 420, RIMS, Kyoto University, May 22, 2015 (invited by Tomotada Ohtsuki).

・Strong and weak (1, 3) homotopies on knot projections (joint work with Yusuke Takimura and Kouki Taniyama), Conference "Knot Theory and Its Applications to Physics and Quantum Computing", UT Dallas, January 8, 2015.

[Conference in honor of work of Prof. Jozef H. Przytycki on his 60th birthday]

・Triple chords and strong (1, 2) homotopy (joint work with Yusuke Takimura), Conference "Mathematics of Knots VII", Tokyo Women's Christian University, December 25, 2014.

・Strong and weak (1, 3) homotopy equivalence classes of spherical curves (joint work with Yusuke Takimura and Kouki Taniyama), KUAMS, ACCA-JP, Sakajo CREST Seminar, Kyoto University, November 18, 2014 (invited by Takashi Sakajo).

・A new aspect of the Arnold invariant J+ from a global viewpoint (joint work with Kenta Hayano), MSJ Autumn Meeting 2014, Hiroshima University, September 27, 2014.

・Strong and weak (1, 2) homotopies on spherical curves and new invariants (joint work with Yusuke Takimura), MSJ Autumn Meeting 2014, Hiroshima University, September 27, 2014.

・Triple chords and strong (1, 2) homotopy (joint work with Yusuke Takimura), MSJ Autumn Meeting 2014, Hiroshima University, September 27, 2014.

・How to formulate the mathematical notion of "contradiction", to researchers of human studies, Lunch time Seminar, WIAS, September 12, 2014.

・Maps on Khovanov chain groups, Gifu Topology Seminar, Gifu University, July 4 (the second talk), 2014 (invited by Toshifumi Tanaka).

・Definitions of Khovanov homology and colored Jones homology, Gifu Topology Seminar, Gifu University 13:30--, July 4 (the first talk), 2014 (invited by Toshifumi Tanaka).

・Strong (1, 3) homotopy equivalence class containing the trivial circle (joint work with Yusuke Takimura and Kouki Taniyama), Tokyo Woman's Christan University Topology Seminar, May 10, 2014 (invited by Ryo Nikkuni).

・Introduction to weak and strong (1, 3) homotopies on spherical curves (joint work with Yusuke Takimura and Kouki Taniyama), Gifu mathematical science seminar, Fuculty of Science and Graduate School of Engineering, Gifu University, April 25, 2014 (invited by Okihiro Sawada).

・Open problems on knots, curves and wave fronts, 10th Top Runners' Lecture Collection of Science "Fluid and Geometry", Waseda University, March 10, 2014.

・A Khovanov bicomplex of the colored Jones polynomial, The Thursday Colloquium, The Algebra & Geometry of Modern Physices, University of Warsaw, Warsaw, Poland, January 23, 2014 (invited by Piotr Sułkowski).

・Knots and me, Waseda Institute for Advanced Study (WIAS), Tokyo, Japan, January 10, 2014.

・(1, 2) homotopy on knot projections (the joint work with Yusuke Takimura), Nihon University, Tokyo, Japan, December 20, 2013.

・Some equivalence relations on knot projections (joint work with Yusuke Takimura and Kouki Taniyama), N-KOOK Seminar, Osaka City University, The 2nd building in front of Osaka station, October 5, 2013.

・(1, 2), weak(1, 3), and strong(1, 3) homotopies on knot projections (joint work with Ysuke Takimura and Kouki Taniyama), Friday Seminar on Knot Theory, Osaka City University Advanced Mathematical Institute, Osaka, Japan, Octber 4, 2013 (invited by Shin'ya Okazaki).

・Introduction to Khovanov bicomplex, Topology Seminar, Nara Women's University, Nara, Japan, September 30, 2013 (invited by Hiroko Murai).

・Behaviors of Khovanov homology under Kirby moves, International Conference on Topology and Geometry 2013 [September 2--6] (Joint with the 6th Japan-Mexico Topology Symposium), September 2, 2013, Shimane University, September 2, 2013 (invited by organizers of Session of Knot Theory).

・A case study on WRT invariant and Khovanov homology, Special Topology Seminar, Depatment of Mathematics, Monroe 267 (Seminar room), The George Washington University, May 10 (13:00--14:00), 2013 (invited by Jozef H. Przytycki).

・A case of the WRT invariant and Khovanov homology, Knots in Washington XXXVI, Rome Hall 801 Room 351, The George Washington University, May 3 (17:00--17:30), 2013 (invited by Jozef H. Przytycki).

・Introduction to Khovanov homology I, II, and III, 3 successive talks (I : Definition of Khovanov homology and Excercise, II : R-matrix and Khovanov homology, III : Solved and Unsolved Problems ), Discussions of Categorification 2013, University of Tokyo, Japan, March 11, 2013 (invited by Shunsuke Tsuchioka).

・Introduction to non-triviality of Gauss words (Joint work with Andrew Gibson), The Discrete Mathematics Seminar, University of South Florida, February 12, 2013 (invited by Masahico Saito).

・Introduction to Khovanov homology and Kirby moves, Topology Seminar, Department of Mathematics, The George Washington University, December 11, 2012 (invited by Jozef H. Przytycki).

・Khovanov homology and Kirby moves, Knots in Washington XXXV, The George Washington University, USA, December 9, 2012 (invited by Valentina Harizanov and Kai Maeda).

・Invariants of curves on surfaces and knot invariants (this talk contained contents of a joint work with Andrew Gibson), Conference "Topological Studies around Riemann Surfaces", University of Tokyo, Japan, September 1, 2012 (invited by Yusuke Kuno).

・On Khovanov bicomplex and related problems, Topology Seminar, Department of Mathematics, The George Washington University, USA, May 2, 2012 (invited by Jozef H. Przytycki).

・Half-twisted splice on reduced knot projections (joint work with Ayaka Shimizu), Topology Seminar, Department of Mathematics, University of California, Santa Barbara, USA, March 13, 2012 (invited by Stephen Bigelow).

・Chain homotopy maps for Khovanov homology and finite type invariants of nanophrases, Colloquium, Department of Mathematics, Rikkyo University, Japan, November 23, 2011 (invited by Hidefumi Ohsugi).

・Chain homotopy maps for Khovanov homology and finite type invariants of nanophrases, Shinshu Topology Seminar, Shinshu University, Japan, November 11, 2011 (invited by Keiichi Sakai).

・Remarks on nanophrases and Jones polynomials, Tohoku Knot Seminar, Tohoku University, Japan, October 15, 2011.

・Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant, The 58th Topology Symposium, Tsukuba University, Japan, August 11, 2011 (invited by organizers of Topology Symposium, contacted by Masaaki Ue).

・Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant and 3-manifolds, Geometry of Transformation Groups and Combinatorics, RIMS Kyoto University, Japan, June 13, 2011 (the chance given by Mikiya Masuda).

・A relation between Khovanov homology and Kirby moves, Knots in Washington XXXII, The George Washington University, USA, April 30, 2011 (invited by Jozef H. Przytycki).

・Versions of Jones polynomial, IRTG 1529 Darmstadt-Tokyo Spring School 2011, Technische Universität Darmstadt, Darmstadt, Germany, February 28, 2011 (invited by Karoline Götze).

・On a Khovanov homology of generalized Jones polynomials, The Seventh East Asian School of Knots and Related Topics, Higashi-Hiroshima, Japan, January 12, 2011.

・A colored Khovanov bicomplex, Special Thursday Seminar on Topology, Stony Brook University, Department of Mathematics and Institute for Mathematical Sciences, New York, USA, December 13, 2010 (invited by Oleg Viro).

・A colored Khovanov bicomplex, Columbia Symplectic Geometry, Gauge Theory, and Categorificaiton Seminar, Columbia University, New York, USA, December 6, 2010 (invited by Mikhail Khovanov).

・On some versions of Khovanov homology, Knots in Washington XXXI, The George Washington University, USA, December 5, 2010 (invited by Jozef H. Przytycki).

・A colored Khovanov bicomplex, Tuesday Seminar on Topology, University of Tokyo, Japan, November 16, 2010 (invited by Toshitake Kohno).

・Remarks on categorification of the colored Jones polynomial, Tohoku Knot Seminar, Yamagata, Japan, October 24, 2010.

・Nanowords and Arnold invariants, Seminario de Geometría Algebraica y Singularidades, Valladolid University, Spain, October 19, 2010 (invited by Antonio Campillo).

・On a Khovanov bicomplex, Conference on Singularities, Geometry and Topology in honour of Sabir M. Gusein-Zade with occasion of his 60th birthday [including talks dedicated to the Memory of Professor V. I. Arnold], EL Escorial, Madrid, Spain, October 12, 2010 (invited by Antonio Campillo).

・Spectral sequences for the colored Jones polynomial, The 5th International Conference Japan-Mexico on Topology and its Applications, Colima University, Mexico, September 28, 2010.

・Khovanov homology and spectral sequences as knot invariants (the original title is given by Japanese), Autumn Meeting of the Mathematical Society of Japan, Nagoya University, Japan, September 22, 2010.

・A bicomplex and spectral sequences for a categorification of the colored Jones polynomial, E-KOOK Seminar 2010, Osaka City University, Japan, August 28, 2010 (invited by Taizo Kanenobu).

・On Khovanov complexes, KNOTS in Poland III, Stefan Banach International Mathematical Center, Będlewo, Poland, July 27, 2010.

・A bicomplex for Khovanov homology of the colored Jones polynomial, XIXth Oporto Meeting on Geometry, Topology and Physics, Categorification, Algarve University, Portugal, July 21, 2010.

・On Khovanov complexes, CTQM/QGM Seminar, Aarhus University, Denmark, June 21, 2010.

・On Khovanov complexes, IRTG 1529 Seminar, Technische Universität Darmstadt, Germany, June 1, 2010.

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