Papers

Publications

• Blanchfield pairings and Gordian distance (with Stefan Friedl and Masaaki Suzuki), Internat. J. Math. 35 (2024) 2450052 (24 pages).
• On adjoint homological Selmer modules for SL₂-representations of knot groups (with Masanori Morishita, Ryoto Tange and Yuji Terashima), Int. Math. Res. Not. 23 (2023) 19801-19826.
• A survey of the Thurston norm, In the tradition of Thurston, II--Geometry and Groups, edited by K. Ohshika and A. Papadopoulos (Springer, 2022), 149-199.
• Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials (with Stefan Friedl, Lukas Lewark, Matthias Nagel and Mark Powell), Canad. J. Math. 74 (2022) 1137-1176.
• Character varieties of higher dimensional representations and splittings of 3-manifolds (with Takashi Hara), Geom. Dedicata 213 (2021) 433-466.
• Representation varieties detect essential surfaces (with Stefan Friedl and Matthias Nagel), Math. Res. Lett. 25 (2018) 803-817.
• On certain L-functions for deformations of knot group representations (with Masanori Morishita, Ryoto Tange and Yuji Terashima), Trans. Amer. Math. Soc. 370 (2018) 3171-3195.
• A note on the existence of essential tribranched surfaces (with Stefan Friedl and Matthias Nagel), Topology Appl. 225 (2017) 75-82.
• Normalization of twisted Alexander invariants, Internat. J. Math. 26 (2015) 1550077 (21 pages).
• Twisted Alexander polynomials and incompressible surfaces given by ideal points, J. Math. Sci. Univ. Tokyo 22 (2015) 877-891.
• Torsion functions on moduli spaces in view of the cluster algebra (with Yuji Terashima), Geom. Dedicata 175 (2015) 125-143.
• Twisted Alexander polynomials and ideal points giving Seifert surfaces, Acta Math. Vietnam. 39 (2014) 567-574, a special issue for the proceedings of the conference "The Quantum Topology and Hyperbolic Geometry" (Nha Trang, Vietnam, May 13-17, 2013).
• The virtual fibering theorem for 3-manifolds (with Stefan Friedl), Enseign. Math. 60 (2014) 79-107.
• Twisted Alexander polynomials on curves in character varieties of knot groups (with Taehee Kim and Takayuki Morifuji), Internat. J. Math. 24 (2013) 1350022 (16 pages).
• Poincaré duality and degrees of twisted Alexander polynomials (with Stefan Friedl and Taehee Kim), Indiana Univ. Math. J. 61 (2012) 147-192.
• Homology cylinders of higher-order, Algebr. Geom. Topol. 12 (2012) 1585-1605.
• Non-commutative Reidemeister torsion and Morse-Novikov theory, Proc. Amer. Math. Soc. 138 (2010) 3345-3360.
• Symmetry of Reidemeister torsion on SU₂-representation spaces of knots, Topology Appl. 156 (2009) 2772-2781.
• Reidemeister torsion for linear representations and Seifert surgery on knots, Topology Appl. 156 (2009) 2496-2503.

Non-Refereed Publications

• On PGL₃-torsions (with Yuji Terashima), RIMS Kôkyûroku 1866 (2013) 39-44.
• Torsion volume forms on character varieties, RIMS Kôkyûroku 1836 (2013) 75-80.
• On a reduction of non-commutative Reidemeister torsion for homology cylinders, RIMS Kôkyûroku 1777 (2012) 31-36.
• On metabelian Reidemeister torsion, RIMS Kôkyûroku 1747 (2011) 87-92.
• Non-commutative Reidemeister torsion and Morse-Novikov theory, the proceedings of the conference "Intelligence of Low Dimensional Topology 2009" (2009) 15-22.

Books

• Current state of mathematics (a literal translation) (Takeshi Saito, Yasuyuki Kawahigashi, Toshiyuki Kobayashi), Section 6, topology--fundamental groups of 3-dimensional manifolds (a literal translation) (87--102), University of Tokyo Press, (2025), 208p.
• Linear algebra (a literal translation) (with Masanori Asakura, Tadashi Ochiai and Yuichiro Taguchi), Baifukan, (2025), 272p.
• 3-manifolds (a literal translation), Exploration of manifolds (a literal translation), Surikagaku 2025.4, No. 742, Saiensu-sha, (2025), 25-32.
• Character varieties and 3-manifold topology (Japanese), Sūgaku 75 no. 1 (2023) 31-56.

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