■ Books and Papers
1.
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2022/12
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Article
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On a theorem of Friedl and Vidussi International Journal of Mathematics 33(13) (Collaboration)
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2.
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2022/04
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Article
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Abelian quotients of the $Y$-filtration on the homology cylinders via the LMO functor Geometry and Topology 26(1),pp.221-282 (Collaboration)
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3.
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2022/04
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Article
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On the kernel of the surgery map restricted to the 1‐loop part Journal of Topology 15,pp.587-619 (Collaboration)
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4.
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2021/12
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Article
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Generating functions on epimorphisms between $2$-bridge knot groups Journal of Knot Theory and Its Ramifications 30 (Single)
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5.
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2020/07
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Article
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Johnson kernel and invariants of homology spheres Quantum Topology 11,pp.379-410 (Collaboration)
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6.
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2019/02
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Article
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Alternating knots with Alexander polynomials having unexpected zeros Topology and its Applications 253,pp.48-56 (Collaboration)
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7.
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2018
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Article
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An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra Experimental Mathematics 27,pp.302-315 (Collaboration)
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8.
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2018
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Article
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Genera of two-bridge knots and epimorphisms of their knot groups Topology and its Applications 242,pp.66-72 (Collaboration)
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9.
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2017
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Article
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Epimorphisms between $2$-bridge knot groups and their crossing numbers Algebraic and Geometric Topology 17,pp.2413-2428 (Single)
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10.
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2017
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Article
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On minimality of two-bridge knots International Journal of Mathematics 28 (Collaboration)
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11.
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2017
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Article
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Symmetry of symplectic derivation Lie algebra of free Lie algebras RIMS Kokyuroku Bessatsu, Geometry and Analysis of Discrete Groups and Hyperbolic Spaces B66,pp.184-195 (Collaboration)
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12.
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2016
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Article
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Monodromy maps of fibered $2$-bridge knots as elements in Automorphism of free groups Kyungpook Mathematical Journal 56,pp.927-938 (Collaboration)
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13.
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2016
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Article
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Non-meridional epimorphisms of knot groups Algebraic and Geometric Topology 16,pp.1135-1155 (Collaboration)
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14.
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2015
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Article
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Computations in formal symplectic geometry and characteristic classes of moduli spaces Quantum Topology 6,pp.139-182 (Collaboration)
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15.
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2015
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Article
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Integral Euler characteristic of Out F11 Experimental Mathematics 24,pp.93-97 (Collaboration)
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16.
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2015
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Article
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Meridional and non-meridional epimorphisms between knot groups Handbook of group actions 31,pp.577-602 (Single)
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17.
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2015
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Article
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Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras Advances in Mathematics 282,pp.291-334 (Collaboration)
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18.
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2013
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Article
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A note on degrees of twisted Alexander polynomials II Bulletin of the Korean Mathematical Society 50,pp.929-934 (Collaboration)
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19.
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2013
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Article
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Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra Duke Mathematical Journal 162,pp.965-1002 (Collaboration)
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20.
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2012
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Article
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A table of genus two hadlebody-knots up to six crossings Journal of Knot Theory and Its Ramifications 21,pp.9 pages (Collaboration)
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21.
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2012
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Article
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An integral region choice problem on knot projection Journal of Knot Theory and Its Ramifications 21,pp.20 pages (Collaboration)
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22.
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2012
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Article
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On the number of SL(2;Z/pZ)-representations of knot groups Journal of Knot Theory and Its Ramifications 21,pp.18 pages (Collaboration)
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23.
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2011
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Article
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A partial order on the set of prime knots with up to 11 crossings Journal of Knot Theory and Its Ramifications 20,pp.275-303 (Collaboration)
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24.
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2009
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Article
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Representations of the braid group and punctured torus bundles Kyungpook Mathematical Journal 49,pp.7-14 (Collaboration)
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25.
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2008
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Article
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A partial order in the knot table II Acta Matheimatica Sinica, English Series 24,pp.1801-1816 (Collaboration)
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26.
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2008
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Article
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New examples of elements in the kernel of the Magnus representation of the Torelli group Groups of Diffeomorphisms pp.479-490 (Single)
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27.
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2008
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Article
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Twisted Alexander polynomial and a partial order on the set of prime knots Geometry and Topology Monographs 13,pp.307-321 (Collaboration)
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28.
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2007
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Article
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On the existence of a surjective homomorphism between knot groups Intelligence of Low Dimensional Topology 2006 pp.173-177 (Collaboration)
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29.
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2005
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Article
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A partial order in the knot table Experimental Mathematics 14,pp.385-390 (Collaboration)
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30.
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2005
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Article
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Geometric interpretation of the Magnus representation of the mapping class group Kobe Journal of Mathematics 22,pp.39-47 (Single)
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31.
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2005
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Article
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On the kernel of the Magnus representation of the Torelli group Proceedings of the American Mathematical Society 133,pp.1865-1872 (Single)
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32.
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2005
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Article
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Twisted Alexander polynomials and surjectivity of a group homomorphism Algebraic and Geometric Topology 5,pp.1315-1324 (Collaboration)
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33.
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2004
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Article
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Twisted Alexander polynomial for the Lawrence-Krammer representation Bulletin of the Australian Mathematical Society 70,pp.67-71 (Single)
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34.
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2003
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Article
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A class function on the Torelli group Kodai Mathematical Journal 26,pp.304-316 (Single)
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35.
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2003
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Article
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Irreducible Decomposition of the Magnus Representation of the Torelli Group Bulletin of the Australian Mathematical Society 67,pp.1-14 (Single)
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36.
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2003
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Article
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On the Magnus representation of the mapping class group Interdisciplinary Information Sciences 9,pp.77-80 (Single)
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37.
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2002
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Article
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The Magnus Representation of the Torelli Group I_{g,1} is not faithful for g >= 2 Proceedings of the American Mathematical Society 130,pp.909-914 (Single)
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Display 5 items
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Display all(37)
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■ Conference Presentations
1. |
2022/01/30 |
Epimorphisms between knot groups and twisted Alexander polynomial (Topology and Geometry of Low-dimensional Manifolds)
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2. |
2022/01/20 |
Knot group, symmetric group, dihedral group, and twisted Alexander polynomial (East Asian Conference on Geometric Topology)
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3. |
2021/01/25 |
Generating function on epimorphisms between 2-bridge knot groups (East Asian Conference on Geometric Topology 2021)
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4. |
2020/10/09 |
On a structure of the symplectic derivation Lie algebra of the free Lie algebra (Teichmüller Theory: Classical, Higher, Super and Quantum)
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5. |
2020/02/26 |
Epimorphisms between knot groups (SFB Seminar)
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6. |
2019/09/13 |
The symplectic derivation Lie algebra of the free Lie algebra (Graph complexes in algebraic geometry and topology)
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7. |
2019/01/21 |
Two filtrations of the Torelli group (East Asian Conference on Geometric Topology 2019)
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8. |
2018/10/14 |
Two filtrations of the Torelli group (Topology and Computer 2018)
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9. |
2018/09/06 |
Computations of Johnson homomorphisms (New Trends in Teichmüller Theory and Mapping Class Groups)
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10. |
2018/01/29 |
Epimorphisms between knot groups - crossing number, genus (East Asian School of Knots and Related Topics)
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11. |
2016/11/22 |
Epimorphisms between two-bridge knot groups and their crossing numbers (Fundamental Groups, Representations and Geometric Structures in 3-Manifold Topology)
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12. |
2016/11/15 |
Epimorphisms between knot groups (Geometry seminar)
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13. |
2016/10/28 |
Epimorphisms between two-bridge knot groups and their crossing numbers (Topology and Computer 2016)
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14. |
2016/10/22 |
Epimorphisms between knot groups (International Conference for the 70th Anniversary of Korean Mathematical Society)
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15. |
2015/11/10 |
Computations in formal symplectic geometry and characteristic classes of moduli spaces (Workshop on Automorphisms of free groups)
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16. |
2015/05/26 |
Non-meridional epimorphisms between knot groups (RIMS Seminar: Topology, Geometry and Algebra of low-dimensional manifolds)
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17. |
2014/10/30 |
Meridional and non-meridional epimorphisms between knot groups (Departmental Colloquia)
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18. |
2014/04/28 |
Meridional and non-meridional epimorphisms between knot groups (Shonan meeting seminar)
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19. |
2013/10/02 |
Meridional and non-meridional epimorphisms between knot groups (Topology Seminar)
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20. |
2013/03/14 |
Meridional and non-meridional epimorphisms between knot groups (Geometry Seminar, University of Pisa, Italy)
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21. |
2013/01/14 |
An integral region choice problem on knot projection (The 9th East Asian School of Knots and Related Topics)
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22. |
2012/07/23 |
Meridional and non-meridional epimorphisms between knot groups (Group actions and applications in geometry, topology and analysis)
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23. |
2012/01/10 |
Epimorphisms between knot groups and the images of meridians (The 8th East Asian School of Knots and Related Topics)
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24. |
2011/11/17 |
Epimorphisms between knot groups and the images of meridians (Circle valued Morse theory and Alexander invariants)
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25. |
2011/10/12 |
Epimporphisms between knot groups and the image of meridians (Topology Seminar, Peking University, China)
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26. |
2010/09/14 |
Epimorphisms between knot groups: determination of the partial order (Twisted topological invariants and topology of low-dimensional manifolds)
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27. |
2010/09/10 |
On the graded Magnus representation of the mapping class group (Topology and Computer 2010)
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28. |
2010/03/02 |
Epimorphisms between knot groups (Claremont Topology Seminar)
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29. |
2009/12/11 |
Epimorphisms between knot groups (CalTech Geometry and Topology Seminar, USA)
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30. |
2009/10/12 |
Epimorphisms between knot groups (Geometry and Topology Seminar, University of Southern California, USA)
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31. |
2009/09/01 |
Epimorphisms between the groups of 2-bridge knots with up to 12 crossings (Topology and Computer 2009)
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32. |
2009/06/10 |
A partial order on the set of prime knots with up to 11 crossings (Toulouse Topology Seminar, France)
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33. |
2008/03/25 |
On the Magnus representation of the mapping class group (Finite type invariants, fat graphs and Torelli-Johnson-Morita theory)
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Display 5 items
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Display all(33)
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■ Academic Qualifications
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■ Career History
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■ researchmap Researcher Code
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■ Current Specialized Field
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■ KAKENHI Researcher Number
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