1. The Magnus Representation of the Torelli Group ${\cal I}_{g,1}$ is not faithful for $g \geq 2$, Proceedings of the American Mathematical Society 130 (2002), 909-914.
  2. Irreducible Decomposition of the Magnus Representation of the Torelli Group, Bulletin of the Australian Mathematical Society 67 (2003), 1-14.
  3. On the Magnus representation of the mapping class group, Interdisciplinary Information Sciences 9 (2003), 77-80.
  4. A class function on the Torelli group, Kodai Math. J. 26 (2003), 304-316.
  5. Twisted Alexander polynomial for the Lawrence-Krammer representation, Bulletin of the Australian Mathematical Society 70 (2004), 67-71.
  6. On the kernel of the Magnus representation of the Torelli group, Proceedings of the American Mathematical Society 133 (2005), 1865-1872.
  7. Geometric interpretation of the Magnus representation of the mapping class group, Kobe Journal of Mathematics 22 (2005), 39-47.
  8. A partial order in the knot table (joint work with T. Kitano), Experimental Mathematics 14 (2005), 385-390.
  9. Twisted Alexander polynomials and surjectivity of a group homomorphism (joint work with T. Kitano and M. Wada), Algebraic and Geometric Topology 5 (2005), 1315-1324.
  10. On the existence of a surjective homomorphism between knot groups (joint work with T. Kitano), Intelligence of Low Dimensional Topology 2006 (2007), 173-177.
  11. Twisted Alexander polynomial and a partial order on the set of prime knots, (joint work with T. Kitano), Geometry and Topology Monographs 13 (2008), 307-321.
  12. A partial order in the knot table II (joint work with T. Kitano), Acta Matheimatica Sinica, English Series, 24 (2008), 1801-1816.
  13. New examples of elements in the kernel of the Magnus representation of the Torelli group, Groups of Diffeomorphisms (2008) 479-490.
  14. Representations of the braid group and punctured torus bundles (joint work with T. Morifuji), Kyungpook Mathematical Journal, 49 (2009), 7-14.
  15. A partial order on the set of prime knots with up to $11$ crossings (joint work with K. Horie, T. Kitano and M. Matsumoto), Journal of Knot Theory and Its Ramifications, 20 (2011), 275-303.
  16. On the number of $SL(2;{\mathbb Z}/p {\mathbb Z})$-representations of knot groups (joint work with T. Kitano), Journal of Knot Theory and Its Ramifications, 21 (2012), 18 pages.
  17. A table of genus two hadlebody-knots up to six crossings (joint work with A. Ishi, K. Kishimoto and H. Moriuchi), Journal of Knot Theory and Its Ramifications, 21 (2012), 9 pages.
  18. An integral region choice problem on knot projection (joint work with K. Ahara), Journal of Knot Theory and Its Ramifications, 21 (2012), 20 pages.
  19. Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra (joint work with S. Morita and T. Sakasai), Duke Mathematical Journal, 162 (2013), 965-1002.
  20. A note on degrees of twisted Alexander polynomials II (joint work with T. Morifuji), Bulletin of the Korean Mathematical Society, 50 (2013), 929-934.
  21. Computations in formal symplectic geometry and characteristic classes of muduli spaces (joint work with S. Morita and T. Sakasai), Quantum Topology, 6 (2015), 139-182.
  22. Meridional and non-meridional epimorphisms between knot groups, Handbook of Group Actions, Advanced Lectures in Mathematics 31 (2015) 577-602.
  23. Integral Euler characteristic of $\Out F_{11}$ (joint work with S. Morita and T. Sakasai), Experimental Mathematics, 24 (2015), 93-97.
  24. Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras (joint work with S. Morita and T. Sakasai), Advances in Mathematics, 282 (2015), 291-334.
  25. Non-meridional epimorphisms of knot groups (joint work with Jae Choon Cha), Algebraic and Geometric Topology, 16 (2016), 1135-1155.
  26. Monodromy maps of fibered $2$-bridge knots as elements in Automorphism of free groups (joint work with H. Goda), Kyungpook Mathematical Journal, 56 (2016), 927-938.
  27. On minimality of two-bridge knots (joint work with F. Nagasato and A. Tran), International Journal of Mathematics, 28 (2017), 11 pages.
  28. Epimorphisms between $2$-bridge knot groups and their crossing numbers, Algebraic and Geometric Topology, 17 (2017), 2413-2428.
  29. Symmetry of symplectic derivation Lie algebra of free Lie algebras (joint work with S. Morita and T. Sakasai), RIMS Kokyuroku Bessatsu, Geometry and Analysis of Discrete Groups and Hyperbolic Spaces, B66 (2017) 185-194.
  30. Genera of two-bridge knots and epimorphisms of their knot groups (joint work wiht A. Tran), Topology and its Applications 242 (2018), 66-72.
  31. An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra (joint work with S. Morita and T. Sakasai), Experimental Mathematics 27 (2018), 302-315.
  32. Alternating knots with Alexander polynomials having unexpected zeros (joint work wiht M. Hirasawa and K. Ishikawa), Topology and its Applications 253 (2019), 48-56.
  33. Torelli group, Johnson kernel and invariants of homology spheres (joint work with S. Morita and T. Sakasai), to appear in Quantum Topology.
2019/10/14 updated