論文

出版論文

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.

報告集等

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.

著書等

数理情報・工学系のための数学教程基礎編2 線形代数 (朝倉政典・落合理・北山貴裕・田口雄一郎共著), 培風館, (2025), 272p.
3次元多様体, 多様体の探求, 数理科学2025年4月号, No. 742, サイエンス社, (2025), 25-32.
指標多様体の幾何学と3次元多様体のトポロジー, 日本数学会『数学』, 第75巻第1号, 2023年1月冬季号, 31-56.

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