[33] (with K. Ichihara) Exceptional or half-integral chirally cosmetic surgeries, Bol. Soc. Mat. Mex. (3)
(to appear).
[32] (with I. Ishii and T. Nakamura) A Coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams, Canad. J. Math. 76 (2024), no. 3, 984-1004.
[31] (with K. Ichihara and T. Ito) On constraints for knots to admit chirally cosmetic surgeries and their calculations, Pacific J. Math. 321 (2022), no. 1, 167-191.
(Pdf-file available via the journal's website)
[30] (with K. Ichihara) Knots in homology lens spaces determined by their complements, Bull. Korean Math. Soc.59 (2022), no. 4, 869-877.
(Pdf-file available via the journal's website)
[29] (with K. Ichihara, I. D. Jong and T. W. Mattman) Two-bridge knots admit no purely cosmetic surgeries, Algebr. Geom. Topol.21 (2021), no. 5, 2411-2424.
(Pdf-file available via the journal's website)
[28] (with K. Ichihara and T. Ito) Chirally cosmetic surgeries and Casson invariants, Tokyo J. Math.44 (2021), no. 1, 1-24.
[27] (with J. H. Lee) Minimal partitions for critical Heegaard splittings, J. Knot Theory Ramifications.
29 (2020), no. 4, 2050023.
[26] Bicompressible surfaces and incompressible surfaces, Bull. Korean Math. Soc.56 (2019), no. 2, 515-520.
(Pdf-file available via the journal's website)
[25] High distance tangles and tunnel number of knots, Math. Proc. Cambridge Philos. Soc.165 (2018), no. 3, 541-548.
[24] (with K. Ichihara) Cosmetic surgery and the SL(2,C) Casson invariant for two-bridge knots, Hiroshima Math. J. 48 (2018), no. 1, 21-37.
(Pdf-file available via Project Euclid)
[23] Examples of nested essential free tangles, J. Knot Theory Ramifications 25 (2016), no. 4, 1650020.
[22] Essential tangle decompositions of knots with tunnel number one tangles, Topology Appl. 196 (2015), Part B, 815-820.
[21] Tunnel number of tangles and knots, J. Math. Soc. Japan66 (2014), no. 4, 1303-1313.
(Pdf-file available via Project Euclid)
[20] (with K. Ichihara) Knots with arbitrarily high distance bridge decompositions, Bull. Korean Math. Soc.50 (2013), no. 6, 1989-2000.
(Pdf-file available via the journal's website)
[19] Free 2-tangles from the point of view of c-Heegaard splittings, Topology Appl. 160 (2013), no. 1, 74-81.
[18] (with A. Cavicchioli) On some classes of hyperbolic knots with the 3-sphere surgery, Topology Appl. 159 (2012), no. 4, 1074-1084.
[17] (with K. Ichihara) Surgical distance between lens spaces, Tokyo J. Math.34 (2011), no. 1, 153-164.
(Pdf-file available via Project Euclid)
[16] A note on lens space surgeries: orders of fundamental groups versus Seifert genera, J. Knot Theory Ramifications 20 (2011), no. 4, 617-624. arXiv:0907.2554
[15] Meridional destabilizing number of knots, Algebr. Geom. Topol. 11(2011), no.2, 1205-1242.
(Pdf-file available via the journal's website)
[14] (with R. Yamamoto) Complexity of open book decompositions via arc complex, J. Knot Theory Ramifications 19 (2010), no. 1, 55-69.
[13] (with M. Teragaito) Knots yielding homeomorphic lens spaces by Dehn surgery, Pacific J. Math. 244 (2010), no. 1, 169-192.
(Pdf-file available via the journal's website)
[12] (with T. Kobayashi) Destabilizing Heegaard splittings of knot exteriors, Topology Appl. 157 (2010), no. 1, 202-212.
[11] The dual knots of doubly primitive knots, Osaka J. Math. 45(2008), no. 2, 403-421.
(Pdf-file available via Project Euclid)
[10] Knots in lens spaces with the 3-sphere surgery, Algebr. Geom. Topol. 8(2008), no. 1, 53-79.
(Pdf-file available via the journal's website)
[9] (with K. Ichihara) Lens spaces obtainable by surgery on doubly primitive knots, Algebr. Geom. Topol. 7(2007), 1949-1962.
(Pdf-file available via the journal's website)
[8] Dehn surgery and (1,1)-knots in lens spaces, Topology Appl. 154 (2007), no. 7, 1502-1515.
[7] (with K. Ichihara and M. Teragaito) Alexander polynomials of doubly primitive knots, Proc. Amer. Math. Soc. 135(2007), no. 2, 605-615.
(Pdf-file available via the journal's website)
[6] Composite double torus knots in 3-manifolds, Kobe J. Math. 22 (2005), no. 1-2, 13-29.
[5] Disjoint pairs of annuli and disks for Heegaard splittings, J. Korean Math. Soc. 42(2005), no. 4, 773-793.
(Pdf-file available via the journal's website)
[4] Scharlemann-Thompson invariant for knots with unknotting tunnels and the distance of (1,1)-splittings, J. London Math. Soc. (2) 71 (2005), no. 3, 801-816.
[2] Genus one 1-bridge knots as viewed from the curve complex, Osaka J. Math. 41(2004), no. 2, 427-454.
(Pdf-file available via Project Euclid)
[1] Meridionally incompressible surfaces and the distance of (1,1)-splittings, J. Knot Theory Ramifications 12 (2003), no. 7, 1009-1021.
紀要等への掲載論文
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上越教育大学研究紀要，41 (2022), no.2, 431-439.
(Pdf-file available via the journal's website)
(with 上田 未来) STEAM教材としての錯視立体―Troikaによる作品「Squaring the Circle」を例として―,
上越教育大学研究紀要，40 (2021), no.2, 585-592.
(Pdf-file available via the journal's website)
(with 寺垣内 政一，北䑓 如法) サイクロイドから派生したSTEM教材,
広島大学大学院教育学研究科紀要 第二部 文化教育開発関連領域，68 (2019), 1-9.
(Pdf-file available via the journal's website)
(with 寺垣内 政一) メルカトル図法の数理－大学初年次のSTEM教材として－,
広島大学大学院教育学研究科紀要 第二部 文化教育開発関連領域，67 (2018), 29-37.
(Pdf-file available via the journal's website)
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著書
(with M. Scharlemann and J. Schultens) Lecture notes on generalized Heegaard splittings, World Scientific Publishing Co. Pte. Ltd., Singapore, 2016. viii+130 pp. ISBN: 978-981-3109-11-7