---

• Twisted Alexander vanishing order of knots (joint work with K. Ishikawa and T. Morifuji), To appear in Annales de l'Institut Fourier.
• Two-tone colorings and surjective dihedral representations for links (joint work with K. Ichihara, K. Ishikawa, and E. Matsudo), To appear in Osaka Journal of Mathematics.
• Blanchfield pairings and Gordian distance (joint work with S. Friedl and T. Kitayama), International Journal of Mathematics 35 (2024), 24 pages.
• On the braid index of a two-bridge knot (joint work with A. Tran), Journal of Knot Theory and Its Ramifications 33 (2024), 22 pages .
• Genera and crossing numbers of $2$-bridge knots (joint work with A. Tran), Fundamenta Mathematicae 264 (2024), 179-195.
• A non-commutative Reidemeister-Turaev torsion of homology cylinders (joint work with Y. Nozaki and M. Sato), Transactions of the American Mathematical Society 376 (2023), 5045-5088.
• On a theorem of Friedl and Vidussi (joint work with T. Morifuji), International Journal of Mathematics 33 (2022), 14 pages.
• On the kernel of the surgery map restricted to the 1-loop part (joint work with Y. Nozaki and M. Sato), Journal of Topology 15 (2022), 587-619.
• Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor (joint work with Y. Nozaki and M. Sato), Geometry and Topology 26 (2022), 221-282.
• Generating functions on epimorphisms between $2$-bridge knot groups, Journal of Knot Theory and Its Ramifications 30 (2021), 24 pages.
• Torelli group, Johnson kernel and invariants of homology spheres (joint work with S. Morita and T. Sakasai), Quantum Topology 11 (2020), 379-410.
• Alternating knots with Alexander polynomials having unexpected zeros (joint work wiht M. Hirasawa and K. Ishikawa), Topology and its Applications 253 (2019), 48-56.
• 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.
• Genera of two-bridge knots and epimorphisms of their knot groups (joint work with A. Tran), Topology and its Applications 242 (2018), 66-72.
• 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.
• Epimorphisms between $2$-bridge knot groups and their crossing numbers, Algebraic and Geometric Topology 17 (2017), 2413-2428.
• On minimality of two-bridge knots (joint work with F. Nagasato and A. Tran), International Journal of Mathematics 28 (2017), 11 pages.
• 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.
• Non-meridional epimorphisms of knot groups (joint work with Jae Choon Cha), Algebraic and Geometric Topology 16 (2016), 1135-1155.
• 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.
• Integral Euler characteristic of $\Out F_{11}$ (joint work with S. Morita and T. Sakasai), Experimental Mathematics 24 (2015), 93-97.
• Meridional and non-meridional epimorphisms between knot groups, Handbook of Group Actions, Advanced Lectures in Mathematics 31 (2015) 577-602.
• 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.
• A note on degrees of twisted Alexander polynomials II (joint work with T. Morifuji), Bulletin of the Korean Mathematical Society 50 (2013), 929-934.
• 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.
• An integral region choice problem on knot projection (joint work with K. Ahara), Journal of Knot Theory and Its Ramifications 21 (2012), 20 pages.
• A table of genus two hadlebody-knots up to six crossings (joint work with A. Ishii, K. Kishimoto and H. Moriuchi), Journal of Knot Theory and Its Ramifications 21 (2012), 9 pages.
• 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.
• 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.
• Representations of the braid group and punctured torus bundles (joint work with T. Morifuji), Kyungpook Mathematical Journal 49 (2009), 7-14.
• New examples of elements in the kernel of the Magnus representation of the Torelli group, Groups of Diffeomorphisms (2008) 479-490.
• A partial order in the knot table II (joint work with T. Kitano), Acta Matheimatica Sinica, English Series 24 (2008), 1801-1816.
• 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.
• On the existence of a surjective homomorphism between knot groups (joint work with T. Kitano), Intelligence of Low Dimensional Topology 2006 (2007), 173-177.
• 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.
• A partial order in the knot table (joint work with T. Kitano), Experimental Mathematics 14 (2005), 385-390.
• Geometric interpretation of the Magnus representation of the mapping class group, Kobe Journal of Mathematics 22 (2005), 39-47.
• On the kernel of the Magnus representation of the Torelli group, Proceedings of the American Mathematical Society 133 (2005), 1865-1872.
• Twisted Alexander polynomial for the Lawrence-Krammer representation, Bulletin of the Australian Mathematical Society 70 (2004), 67-71.
• A class function on the Torelli group, Kodai Mathematical Journal 26 (2003), 304-316.
• On the Magnus representation of the mapping class group, Interdisciplinary Information Sciences 9 (2003), 77-80.
• Irreducible Decomposition of the Magnus Representation of the Torelli Group, Bulletin of the Australian Mathematical Society 67 (2003), 1-14.
• 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.

2025/4/30 updated