An extended symmetric union and its Alexander polynomial , TOPOLOGY AND ITS APPLICATIONS, 390,   , Oct. 15, 2026, https://doi.org/10.1016/j.topol.2026.109893 

On the genera of symmetric unions of knots , CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, ,   , Nov. 3, 2025, https://doi.org/10.4153/S0008414X25101740 

An algebraic property of Reidemeister torsion , Transactions of the London Mathematical Society, 9( 1), 136- 157, Dec. 2022, https://doi.org/10.1112/tlm3.12049 

Twisted Alexander polynomials of torus links , Journal of Knot Theory and its Ramifications, 29( 4),  , Apr. 2020, https://doi.org/10.1142/S0218216520500169 

Finiteness of the image of the reidemeister torsion of a splice , Annales Mathematiques Blaise Pascal, 27( 1), 19- 36, 2020, https://doi.org/10.5802/ambp.389 

A polynomial defined by the SL(2; C)-Reidemeister torsion for a homology 3-sphere obtained by a Dehn surgery along a {p, q)-torus knot , Tohoku Mathematical Journal, 69( 4), 571- 583, Dec. 2017, https://doi.org/10.2748/tmj/1512183630 

A note on Riley polynomials of 2-bridge knots , Ann. Fac. Sci. Toulouse Math. (6), 26( 5), 1211- 1217, 2017,  

Reidemeister torsion of a 3-manifold obtained by an integral dehn-surgery along the figure-eight knot , Kodai Mathematical Journal, 39( 2), 290- 296, 2016, https://doi.org/10.2996/kmj/1467830138 

Erratum: A partial order on the set of prime knots with up to 11 crossings , Journal of Knot Theory and its Ramifications, 21( 4), 275- 303, Apr. 2012, https://doi.org/10.1142/S0218216511010048 

On the number of SL(2;ℤ/pℤ)-representations of knot groups , Journal of Knot Theory and its Ramifications, 21( 1),  , Jan. 2012, https://doi.org/10.1142/S021821651100973X 

Twisted Alexander polynomials for irreducible SL(2, C)-representations of torus knots , ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 11( 2), 395- 406, 2012,  

A partial order on the set of prime knots with up to 11 crossings , Journal of Knot Theory and its Ramifications, 20( 2), 275- 303, Feb. 2011, https://doi.org/10.1142/S0218216511008747 

Erratum to the article twisted alexander polynomials and surjectivity of a group homomorphism , Algebraic and Geometric Topology, 11( 5), 2937- 2939, 2011, https://doi.org/10.2140/agt.2011.11.2937 

Erratum: A partial order in the knot table (Experimental Mathematics (2005) 14 (385-390)) , Experimental Mathematics, 20( 3), 371- 371, 2011, https://doi.org/10.1080/10586458.2011.605735 

Twisted Alexander polynomials and a partial order on the set of prime knots , Geometry and Topology Monographs, 13,  307-322- , Sep. 2009,  

A partial order in the knot table II , Acta Mathematica Sinica, English Series, 24( 11), 1801- 1816, Nov. 2008, https://doi.org/10.1007/s10114-008-6269-2 

Reidemeister torsion, twisted Alexander polynomial and fibered knots , Commentarii Mathematici Helvetici, 80( 1), 51- 61, 2005, https://doi.org/10.4171/CMH/3 

Divisibility of twisted Alexander polynomials and fibered knots , Annali della Scuola Normale - Classe di Scienze, 4( 1), 179- 186, 2005,  

Twisted Alexander polynomials and surjectivity of a group homomorphism , ALGEBRAIC AND GEOMETRIC TOPOLOGY, 5,  1315- 1324, 2005, https://doi.org/10.2140/agt.2005.5.1315 

A partial order in the knot table , Experimental Mathematics, 14( 4), 385- 390, 2005, https://doi.org/10.1080/10586458.2005.10128937 

L²-torsion invariants of a surface bundle over S¹ , Journal of the Mathematical Society of Japan, 56( 2), 503- 518, 2004, https://doi.org/10.2969/jmsj/1191418642 

L²-torsion invariants and homology growth of a torus bundle over S¹ , Proceedings of the Japan Academy Series A: Mathematical Sciences, 79( 4), 76- 79, Apr. 2003, https://doi.org/10.3792/pjaa.79.76 

On the first Morita-Mumford class of surface bundles over S¹ and the Rochlin invariant , Journal of Knot Theory and its Ramifications, 9( 2), 179- 186, Mar. 2000, https://doi.org/10.1142/S0218216500000086 

Twisted alexander polynomial and Reidemeister torsion , Pacific Journal of Mathematics, 174( 2), 431- 442, Jun. 1996, https://doi.org/10.2140/pjm.1996.174.431 

Johnson's homomorphisms of subgroups of the mapping class group, the Magnus expansion and Massey higher products of mapping tori , Topology and its Applications, 69( 2), 165- 172, 1996, https://doi.org/10.1016/0166-8641(95)00077-1 

Reidemeister torsion of the figure-eight knot exterior for SL(2; C)-representations , Osaka Journal of Mathematics, 31( 3), 523- 532, Sep. 1994,  

Reidemeister torsion of Seifert fibered spaces for SL(2;C)-representations , Tokyo Journal of Mathematics, 17( 1), 59- 75, Jun. 1994, https://doi.org/10.3836/tjm/1270128187 

LINEAR REPRESENTATIONS OF A KNOT GROUP OVER A FINITE RING AND ALEXANDER POLYNOMIAL AS AN OBSTRUCTION (Representation spaces, twisted topological invariants and geometric structures of 3-manifolds) , RIMS Kokyuroku, 1836,  65- 74, May. 2013 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Torsion invariants for hyperbolic manifolds, ,  Apr. 2015 - Mar. 2019 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Pro-finite completion of a 3-manifold group and its relation to topological invariants, ,  Apr. 2013 - Mar. 2017 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Studies on partial orders on sets of 3-manifolds defined by epimorphisms between fundamental groups., ,  2009 - 2011 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Geometry of Groups and Moduli Spaces (2), ,  2007 - 2009 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifolds, competitive_research_funding,  2005 - 2008 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Geometry of Groups and Moduli Spaces, ,  2004 - 2006 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Various inbariants appearing in low-dimensional topology, ,  2003 - 2006 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Conformal Field Theory and Witten Invariant, ,  2003 - 2004 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Gauge Theory and 3-Dimensional Manifolds, ,  2001 - 2002 

Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Gauge Theory and 3-Dimensional Manifolds, ,  1999 - 2000 

Topology and Geometry of Low-Dimensional Manifolds 2024,  Apr. 2024 - Nov. 2024