Research
I am in Ritsumeikan University (BKC) in Japan.
http://www.ritsumei.ac.jp/se2017/educators/detail/?id=160 (japanese)
Research Interests :
Low-dimensional topology
(Knot theory, Dehn surgery, 4-dimensional topology)
Papers :
A generalization of the slice-ribbon conjecture for two-bridge knots and t_n-moves (With K. Tagami), accepted by Tohoku Mathematical Journal (2023).
Ribbon disks with the same exterior (With K. Tange), Communications in Analysis and Geometry 30 (2022) No. 2, 257 --270.
Knots with infinitely many non-characterizing slopes (With K. Tagami), Kodai Mathematical Journal 44 (2021), 395-421.
Characterization of positive links and the s-invariant for links (With K. Tagami), Canadian Journal of Mathematics 69 (2017), 1201--1218. arXiv.
On annulus twists, RIMS Kôkyûroku 2004 (2016), 108--114.
A construction of slice knots via annulus twists (With M. Tange), Michigan Math. J. 65 (2016), No.3, 573-597.
Fibered knots with the same 0-surgery and the slice-ribbon conjecture (With K. Tagami), Mathematical Research Letters 23 (2016) No. 2, 303 -- 323.
Addendum to "Fibered knots with the same 0-surgery and the slice-ribbon conjecture" (With K. Tagami), RIMS Kôkyûroku 1960 (2015), 18--36.
Infinitely many knots admitting the same integer surgery and a 4-dimensional extension (with I. Jong, J. Luecke, J. Osoinach), Int Math Res Notices (2015), IMRN, doi: 10.1093/imrn/rnv008
Unoriented band-surgery on knots and links (With T. Kanenobu), Kobe. J. Math. 31 (2014), 21--44.
Annulus twist and diffeomorphic 4-manifolds (With I. Jong, Y. Omae and M. Takeuchi), Math. Proc. Cambridge Philos. Soc. 155 (2013), No. 2, 219--235.
Omae's knot and 12a990 are ribbon (With M. Tange), RIMS Kôkyûroku 1812 (2012), 34--42.
State cycles which represent the canonical class of Lee's homology of a knot, Topology Appl.159 (2012), No. 4, 1146--1158.
The unknotting number and band-unknotting number of a knot (With R. Hanaki and R. Higa),Osaka J. Math. 49 (2012), No. 2, 523--550.
The Rasmussen invariant of a homogeneous knot, Proc. Amer. Math. Soc. 139 (2011), No. 7, 2647--2656.
Lee's homology and Rasmussen invariant, RIMS Kôkyûroku 1716 (2010), 107--118.
The dealternating number and the alternation number of a closed 3-braid (With K. Kishimoto), J. Knot Theory Ramifications 19 (2010), No. 9, 1--25.
The Turaev genus of an adequate knot, Topology Appl. 156 (2009), No. 17, 2704--2712.
An estimation of the alternation number of a torus knot, J. Knot Theory Ramifications 18 (2009), No. 3, 363--379.
Preprint
Seminar :
Differential Topology '16 @ University of Tsukuba
Differential Topology '15 @ Kyoto University
Handle friendship seminar 2014 @ Tokyo Institute of Technology
Mini-workshop on knot concordance 2013 @ Tokyo Institute of Technology