低次元多様体論，特に3次 元多様体論，結び目理論，デーン手術，不変順序
| No. | Title | Co-author | Journal |
|
|
|
|
|
| 1. | Fibered 2-knots and lens spaces |
| Osaka J. Math. 26 (1989) 57-63 |
| 2. | Twisting symmetry-spins of 2-bridge knots |
| Kobe J. Math. 6 (1989) 117-125. |
| 3. | Twisting symmetry-spins of pretzel knots |
| Proc. Japan Acad. A66 (1990) 179-183. |
| 4. | 2-Knots from view of moving picture | with Yasutaka Nakanishi | Kobe J. Math. 8 (1991) 161-172. |
| 5. | Symmetry-spun tori in the four-sphere |
| in Knots 90, Walter de Gruyter 1992 |
| 6. | A note on untwisted deform-spun 2-knots |
| Proc. Japan Acad. A68 (1992) 75-78. |
| 7. | Composite knots trivialized by twisting |
| J. Knot Theory Ramifications 1 (1992) 467-470. |
| 8. | Roll-spun knots |
| Math. Proc. Cambridge Philos. Soc. 113 (1993) 91-96. |
| 9. | Twist-roll spun knots |
| Proc. Amer. Math. Soc. 122 (1994) 597-599. |
| 10. | Homology handles with multiple knot-surgery descriptions |
| Topology Appl. 56 (1994) 249-257. |
| 11. | Twisting operations and composite knots - In search of Scharlemann cycles |
| Proc. Apllied Math. Workshop 4, KAIST, 1994 |
| 12. | Twisting operations and composite knots |
| Proc. Amer. Math. Soc. 123 (1995) 1623-1629. |
| 13. | Dehn surgery and projective planes |
| Kobe J. Math. 13 (1996) 203-207. |
| 14. | Cyclic surgery on genus one knots |
| Osaka J. Math. 34 (1997) 145-150. |
| 15. | Dehn surgery on genus one knots and Seifert fibered manifolds |
| Proc. of The 5th Korea-Japan School of Knots and Links (1998) 315-325, KAIST |
| 16. | Tunnel number one genus one non-simple knots | with Hiroshi Goda | Tokyo J. Math. 22 (1999) 99-103. |
| 17. | Dehn surgeries on composite knots creating Klein bottles |
| J. Knot Theory Ramifications 8 (1999) 391-395. |
| 18. | On tangle decompositions of tunnel number one links | with Hiroshi Goda and Makoto Ozawa | J. Knot Theory Ramifications 8 (1999) 299-320. |
| 19. | Genus one, three-bridge knots are pretzel | with Satoshi Fukuhama and Makoto Ozawa | J. Knot Theory Ramifications 8(1999) 879-885. |
| 20. | Gluck surgery along a 2-knot in a 4-manifold is realized by surgery along a projective plane | with Atsuko Katanaga, Osamu Saeki and Yuichi Yamada | Michigan Math. J. 46 (1999), 555-571. |
| 21. | Dehn surgeries on knots which yield lens spaces and genera of knots | with Hiroshi Goda | Math. Proc. Cambridge Philos. Soc. 129 (2000), 501-515. |
| 22. | Creating Klein bottles by surgery on knots |
| J. Knot Theory Ramifications 10 (2001), 781-794. |
| 23. | Links with surgery yielding the 3-sphere |
| J. Knot Theory Ramifications 11 (2002), 105-108. |
| 24. | Toroidal surgeries on hyperbolic knots |
| Proc. Amer. Math. Soc. 130 (2002), 2803-2808. |
| 25. | Boundary slopes of non-orientable Seifert surfaces for knots | with Kazuhiro Ichihara and Masahiro Ohtouge | Topology Appl. 122 (2002), 467-478. |
| 26. | Dehn surgery on crosscap number two knots and projective planes |
| J. Knot Theory Ramificaions 11 (2002), 869-886. |
| 27. | Dehn fillings creating essential spheres and tori | with Sangyop Lee and Seungsang Oh | J. Knot Theory Ramificaions 11 (2002), 887-890. |
| 28. | P2-reducing and toroidal Dehn fillings | with Gyotaek Jin, Sangyop Lee and Seungsang Oh | Math. Proc. Cambridge Philos. Soc. 134 (2003), 271-288. |
| 29. | Klein bottle surgery and genera of knots | with Kazuhiro Ichihara | Pacific J. Math. 120 (2003), 317-333. |
| 30. | Toroidal surgeries on hyperbolic knots, II |
| Asian J. Math. 7 (2003), 139-146. |
| 31. | The simplest hyperbolic knots with non-integral toroidal surgery | with Haruko Ishigami | J. Knot Theory Ramifications 12 (2003), 1023-1039. |
| 32. | Crosscap numbers of torus knots |
| Topology Appl. 138 (2004), 219-238. |
| 33. | Klein bottle surgery and genera of knots, II | with Kazuhiro Ichihara | Topology Appl. 146-147 (2005), 195-199. |
| 34. | On hyperbolic 3-manifolds realizing the maximal distance between toroidal Dehn fillings | with Hiroshi Goda | Algebr. Geom. Topol. 5 (2005), 463-507. (available from Math ArXiv) |
| 35. | Distance between toroidal surgeries on hyperbolic knots in the 3-sphere |
| Trans. Amer. Math. Soc. 358 (2006), 1051-1075. (available from Math ArXiv) |
| 36. | Reducing Dehn fillings and small surfaces | with Sangyop Lee and Seungsang Oh | Proc. London Math. Soc. 92 (2006), 203--223.(available from Math ArXiv) |
| 37. | On hyperbolic knots realizing the maximal distance between toroidal surgeries |
| J. Knot Theory Ramifications 15 (2006), 101-119. (available from Math ArXiv) |
| 38. | On non-integral Dehn surgeries creating non-orientable surfaces |
| Canad. Math. Bull. 49, no.4 (2006), 624-627. |
| 39. | Crosscap numbers of 2-bridge knots | with Mikami Hirasawa | Topology 45, no. 3 (2006), 513-530. (available from Math ArXiv) |
| 40. | Toroidal Dehn fillings on large hyperbolic 3-manifolds |
| Comm. Anal. Geom. 14 (2006) 565-601. (available from Math ArXiv) |
| 41. | A Seifert fibered manifold with infinitely many knot-surgery descriptions |
| International Mathematics Research Notices 2007, Article ID rnm028, 16 pages. |
| 42. | Alexander polynomials of doubly primitive knots | with Kazuhiro Ichihara and Toshio Saito | Proc. Amer. Math. Soc. 135 (2007), 605-615. (available from Math ArXiv) |
| 43. | Boundary structure of hyperbolic 3-manifolds admitting annuluar and toroidal fillings at large distance | with Sangyop Lee | Canadian J. Math. 60 (2008) 164-188. (available from Math ArXiv) |
| 44. | Hyperbolic knots with three toroidal Dehn surgeries |
| J. Knot Theory Ramifications 17 (2008) 1051-1061. (available from Math ArXiv) |
| 45. | Non-invertible knots having toroidal Dehn surgery of hitting number four |
| Hiroshima Mathematical Journal 38 (2008), 447-454. |
| 46. | Isolated exceptional Dehn surgeries on hyperbolic knots |
| Topology Appl. 156 (2009), 1148-1152. |
| 47. | Boundary structure of hyperbolic 3-manifolds admitting toroidal fillings at large distance | with Sangyop Lee | Math. Ann. 344 (2009), 119-159. |
| 48. | Toroidal Dehn surgery on hyperbolic knots and hitting number |
| Topology Appl. 157 (2010), 269-273. |
| 49. | Knots yielding homeomorphic lens spaces by Dehn surgery | with Toshio Saito | Pacific J. Math. 244, no.1 (2010), 169-192. (available from Math ArXiv) |
| 50. | Cyclic surgery between toroidal surgeries |
| Canad. Math. Bull. 54 (2011), no. 3, 556-560. |
| 51. | Left-orderability and exceptiona Dehn surgery on twist knots |
| Canad. Math. Bull. 56 (2013), no. 4, 850-859. (available from Math ArXiv) |
| 52. | Left-orderability and exceptiona Dehn surgery on two-bridge knots | with Adam Clay | Contemp. Math. 597 (2013), 225-233. (available from Math ArXiv) |
| 53. | Left-orderable fundamental group and Dehn surgery on the knot 5_2 | with Ryoto Hakamata | Canad. Math. Bull. 57 (2014), no.2, 310-317. (available from Math ArXiv) |
| 54. | Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots | with Ryoto Hakamata | Algebraic and Geometric Topology 14 (2014), issue 4, 2125-2148. (available from Math ArXiv) |
| 55. | Left-orderable, non-L-space surgeries on knots | with Kimihiko Motegi | Comm. Anal. Geom. 22 (2014), no. 3, 421-449. (available from Math ArXiv) |
| 56. | Four-fold cyclic branched covers of genus one two-bridge knots are L-spaces |
| Bol. Soc. Mat. Mexicana 20 (2014), issue 2, 391-403. |
| 57. | Quasi-alternating links and Q-polynomials |
| J. Knot Theory Ramifications 23 (2014), no.12, 1450068 (6 pages). (available from Math ArXiv) |
| 58. | An alternative proof of a theorem of Morimoto on composite tunnel number one links |
| |
| 59. | Cyclic branched covers of alternating knot and L-spaces |
| Bull. Korean Math. Soc. 52 (2015), no.4, 1139--1148. (available from Math ArXiv) |
| 60. | Quasi-alternating links and Kauffman polynomials |
| J. Knot Theory Ramifications 24 (2015), no.7, 1550038(17 pages) |
| 61. | Triple crossing numbers of graphs | with Hiroyuki Tanaka | Communications in Mathematical Research 32 (2016), no.1, 1-38.(pdf file) |
| 62. | Generalized torsion elements in the knot groups of twist knots |
| Proc. Amer. Math. Soc. 144 (2016), no.6, 2677-2682. (available from Math ArXiv) |
| 63. | Generalized torsion elements and bi-orderability of 3-manifold groups | with Kimihiko Motegi | Canad. Math. Bull. 60 (2017), no.4, 830-844. (available from Math ArXiv) |
| 64. | Normal closures of slope elements in knot groups and the peripheral Magnus property | with Tetsuya Ito, Kimihiko Motegi | preprint (available from Math ArXiv) |
| 65. | Weight elements of the knot groups of some 3-strand pretzel knots |
| Bull. Aust. Math. Soc. 98 (2018), no. 2, 305-318. |
| 66. | Vanishing nontrivial elements in a knot group by Dehn fillings | with Kazuhiro Ichihara, Kimihiko Motegi | to appear in Topology and its Applications |
| 67. | Generalized torsion and decomposition of 3-manifolds | with Tetsuya Ito, Kimihiko Motegi | to appear in Proc. Amer. Math. Soc. (available from Math ArXiv) |
| 68. | Nontrivial elements in a knot group which are trivialized by Dehn fillings | with Tetsuya Ito, Kimihiko Motegi | to appear in International Mathematics Research Notices (available from Math ArXiv) |
| 1. |
| in the Proceedings of the 1st East Asian School of Knots, Links and Related Topics | |
| 2. |
| 広島大学附属東雲中学校数学科・広島大学共同研究プロジェクト | |
| 3. |
| 2006年 度日本数学会秋 季総合分科会特別講演アブストラクト（加筆修正版） | |
| 4. |
| 広島大学大学院教育学研究科リサーチオフィス経費プロジェクト | |
| 5. |
| 広島大学大学院教育学研究科リサーチオフィス経費プロジェクト | |
| 6. |
| 東京女子大学での講演スライド（2010年3月20日） | |
| 7. |
| 広島大学学術情報リポジトリ | |
| 8. |
| 2014年 度教員免許状更 新講習テキスト（2014年8月12日） | |
| 9. |
| 広島大学大学院教育学研究科紀要，第66 号，2017，17-24 | |
| 10. |
| 広島大学大学院教育学研究科紀要，第67 号，2018，29-37 |
| 1. | これだけは知っておきたい教員 のための数学I， 代数・幾何 |
| 今岡光範，坂本隆則，寺垣内政一，丸尾修共著，培風館，2007年 |
| 2. | 平面幾何の公理的構築 |
| 単著，広島大学出版会，2019年 |
| Date | Title | Place |
|
|
|
|
| 1997.2 | Dehn surgery on genus one knots and Seifert fibered manifolds | The 5th Korea-Japan School of Knots and Links，KAIST， Korea |
| 1997.10 | 種数１の結び目のデーン手術によるクライン・ボトルの生成 | 日本数学会秋季総合分科会 |
| 1997.10 | Creating Klein bottles by surgery on genus one knots | 研究集会「結び目と低次元多様体」， 大阪商工会議所賢島研修センター |
| 1998.1 | 結び目のデーン手術による曲面 の構成 | 日本数学会中国・四国支部例会， 山口市共済苑 |
| 1998.2 | On tangle decompositions of tunnel number one links | The 6th Japan-Korea School of Knots and Links， 東 京大学 |
| 1998.8 | Creating Klein bottles by surgery on genus one knots | Knots in Hellas '98，ECCD，Delphi，Greece |
| 1998.10 | トンネル数１の絡み目のタングル分解について | 日本数学会秋季総合分科会，大阪大学 |
| 1998.10 | Crosscap number two knotのDehn surgeryによる射影平面の生成 | 研究集会「結び目の数理」， 関西セミナーハウス |
| 1999.2 | Dehn surgery on knots yielding lens spaces | The 7th Japan-Korea School of Knots and Links， オ クスフォード大学セント・キャサリンズカレッジ神戸インスティチュート |
| 1999.3 | Genus one, three-bridge knots are pretzel | 日本数学会年会，学習院大学 |
| 1999.9 | Dehn surgeries on knots which yield lens spaces and genera of knots | The University of Texas at Austin，Texas，U.S.A. |
| 2000.2 | Toroidal Dehn fillings and lens spaces | University of South Alabama，Alabama，U.S.A. |
| 2000.2 | Toroidal Dehn fillings and lens spaces | The University of Texas at Austin，Texas，U.S.A. |
| 2000.5 | Toroidal Dehn fillings and lens spaces | 研究集会「Dehn surgery による3次 元多様体の研究」， 数理解析研 究所 |
| 2000.5 | Osoinach の論文 の紹介 | 研究集会「Dehn surgery による3次 元多様体の研究」， 数理解析研 究所 |
| 2000.8 | Dehn surgery on crosscap number two knots and projective planes | Knots 2000，Yongpyong Resort，Korea |
| 2000.9 | Toroidal Dehn fillings and lens spaces | 日本数学会秋季総合分科会，京都大学 |
| 2000.10 | Toroidal Dehn fillings and lens spaces | 研究集会「結び目の不変量と幾何構造」， 大阪市立大学文化交流センター |
| 2000.12 | Toroidal surgery on hyperbolic knots | 東京女子大学トポロジーセミナー，東京女子大学 |
| 2001.5 | Links with surgery yielding the 3-sphere | 広島大学トポロジーセミナー，広島大学 |
| 2001.10 | Toroidal Dehn surgeries on hyperbolic knots | 日本数学会秋季総合分科会，九州大学 |
| 2001.12 | Klein bottlal surgery and genera of knots | 研究集会「結び目のトポロジーIV」， 大阪市立大学 |
| 2002.6 | Crosscap numbers of torus knots | 広島大学トポロジーセミナー，広島大学 |
| 2002.6 | Crosscap numbers of torus knots | 松江位相数学国際会議，島根大学 |
| 2002.8 | Dehn surgeries creating Klein bottles and genera of knots | Conference in Geometric Topology，Shaanxi Normal University，China |
| 2002.9 | Non-orientable genera of torus knots | 日本数学会秋季総合分科会，島根大学 |
| 2002.10 | Non-orientable genera of torus knots | 研究集会「結び目と多様体の幾何と代数」，大阪市立大学文化交流センター |
| 2002.11 | Toroidal surgeries on hyperbolic knots | Korea University |
| 2002.11 | Toroidal surgeries on hyperbolic knots | 研究集会「Japan-Korea School of 3-manifolds」，奈良女子大学 |
| 2003.6 | Crosscap numbers of 2-bridge knots | 広島大学トポロジーセミナー，広島大学 |
| 2003.9 | Integral toroidal surgeries on hyperbolic knots | 研究集会「結び目と多様体の幾何と代数II」， 甲南大学 |
| 2003.9 | Crosscap numbers of 2-bridge knots | 日本数学会秋季総合分科会，千葉大学 |
| 2004.2 | Toroidal surgery on hyperbolic knots | The First East Asian School of Knots，Links and Related Topics，Seoul，Korea |
| 2004.5 | Distance between toroidal surgeries on hyperbolic knots in the 3-sphere | 広島大学トポロジーセミナー，広島大学 |
| 2004.7 | Distance between toroidal surgeries on hyperbolic knots in the 3-sphere | First KOOK Seminar International Conference for Knot Theory and Related Topics， 淡路夢舞台国際会議場 |
| 2004.12 | On hyperbolic knots realizing the maximal distance between toroidal surgeries | 3rd Japan-Mexico Joint Meeting on Topology and Its Applications，Oaxaca，Mexico |
| 2004.12 | On hyperbolic knots realizing the maximal distance between toroidal surgeries | 研究集会「結び目のトポロジーⅦ」， 東京女子大学 |
| 2005.2 | On hyperbolic 3-manifolds realizing the maximal distance between toroidal fillings | 研究集会「東北結び目セミナー in 秋田」，秋田市民交流プラザ |
| 2005.3 | On hyperbolic knots realizing the maximal distance between toroidal surgeries | Korea University |
| 2005.5 | Lens space surgeries on doubly primitive knots | 広島大学トポロジーセミナー，広島大学 |
| 2005.8 | Alexander polynomials of doubly primitive knots | 研究集会「結び目と多様体の幾何と代数Ⅲ」， 甲南大学 |
| 2005.12 | Exceptional Dehn fillings at large distance | 研究集会「結び目のトポロジーⅧ」， 早稲田大学 |
| 2006.5 | Hyperbolic knots with multiple exceptional Dehn surgeries | 国際研究集会「Knots, Groups and 3-Manifolds in Marseille 2006」，Universite de Provence, Marseille, France |
| 2006.6 | Hyperbolic knots with multiple exceptional Dehn surgeries | 広島大学トポロジーセミナー，広島大学 |
| 2006.8 | Crosscap numbers of torus knots | Workshop on Crosscap Number， 支笏湖休暇村 |
| 2006.9 | 結び目のレンズ空間手術，ザイフェルト手術及びトロイダル手術 | 日本数学会秋季総合分科会，大阪市立大学 |
| 2006.12 | A Seifert fibered manifold with infinitely many knot-surgery descriptions | 研究集会「結び目のトポロジーIX」， 日本大学 |
| 2006.12 | On fiberedness of knots with lens space surgeries | 上智トポロジー研究集会2006， 上智大学 |
| 2007.2 | A Seifert fibered manifold with infinitely many knot-surgery descriptions | 国際研究集会「結び目・絡み目に関する第3回 東アジアスクール」，大阪市立大学 |
| 2007.7 | Hyperbolic knots with three toroidal Dehn surgeries | 広島大学トポロジーセミナー，広島大学 |
| 2007.12 | Hyperbolic knots with three toroidal Dehn surgeries | International Conference on Topology and its Applications 2007，京都大学 |
| 2008.9 | Knots yielding homeomorphic lens spaces by Dehn surgery | Topology seminar，UNAM（メ キシコ国立自治大学），Mexico |
| 2008.9 | Arrangement of exceptional Dehn surgery | Topology seminar，UNAM（メ キシコ国立自治大学），Mexico |
| 2008.10 | Knots yielding homeomorphic lens spaces by Dehn surgery | 研究集会「Intelligence of Low Dimensional Topology」，大阪市立大学 |
| 2009.1 | Knots yielding homeomorphic lens spaces by Dehn surgery | 国際研究集会「Knots in Washington XXVII」，George Washington University, Washington D.C., USA |
| 2009.7 | Knots obtained from the minimally twisted five chain link and lens space surgery | Workshop「Simplicial Complexes Arising in Low-Dimensional Topology」， 東京工業大学 |
| 2010.2 | Triple crossing numbers of graphs | 結び目の数理セミナー「Knotting Nagoya」，名古屋工業大学 |
| 2010.3 | Triple crossing numbers of graphs | 研究集会「結び目理論」，東京女子大学 |
| 2011.1 | Boundary reducing knots in handlebodies | 国際研究集会「第７回結び目理論に関する東アジアスクール」，広島大学 |
| 2012.3 | ２橋結び目の例外的デーン手術と左不変順序 | 日本数学会年会，東京理科大学 |
| 2012.6 | ツイスト結び目の例外的デーン手術と左不変順序 | 広島大学トポロジーセミナー，広島大学 |
| 2013.1 | Left-orderable fundamental group and Dehn surgery on twist knots | The 9th East Asian School of Knots and Related Topics, 東京大学 |
| 2013.3 | ツイスト結び目の例外的デーン手術と左不変順序 | 日本数学会年会，京都大学 |
| 2013.5 | Left-orderable fundamental groups and Dehn surgery on two-bridge knots | Intelligence of Low Dimensional Topology, 京都大学 |
| 2013.9 | Cyclic branched covers of genus one two-bridge knots and L-spaces | International Conference on Topology and Geometry 2013, 島根大学 |
| 2013.9 | ２橋結び目の巡回分岐被覆空間とL空 間 | 日本数学会秋季総合分科会，愛媛大学 |
| 2014.6 | Quasi-alternating links and Q-polynomials | 東京女子大学トポロジーセミナー，東京女子大学 |
| 2015.2 | Cyclic branched covers of knots and L-spaces | Branched Coverngs, Degenarations, and Related Topics 2015，東北学院大学 |
| 2015.3 | 擬交代絡み目とQ多 項式 | 日本数学会年会，明治大学 |
| 2015.6 | Generalized torsion elements in the knot groups of twist knots | 広島大学トポロジー幾何セミナー，広島大学 |
| 2015.8 | Quasi-alternating links and Kauffman polynomials | 拡大KOOKセ ミナー，神戸大学 |
| 2015.9 | 擬交代絡み目とKauffman多 項式 | 日本数学会秋季総合分科会，京都産業大学 |
| 2015.10 | Generalized torsion elements in the knot groups of twist knots | Geometry and Topology of Low-dimensional Manifolds，奈良女子大学 |
| 2015.11 | Generalized torsion elements in the knot groups of twist knots | The 1st Pan Pacific International Conference on Topology and Applications，Min Nan Normal University, China |
| 2016.3 | ツイスト結び目の結び目群に含まれる共役ねじれ元 | 日本数学会年会，筑波大学 |
| 2016.6 | Quasi-alternating links and polynomial invariants | 離散群と双曲空間のトポロジーと解析，京都大学数理解析研究所 |
| 2017.1 | Generalized torsion elements and bi-orderability of 3-manifold groups | 3-manifold workshop, Isaac Newton Institute for Mathematical Sciences, United Kingdom |
| 2017.3 | ３次元多様体の基本群に含まれる共役ねじれ元と両側不変順序 | 日本数学会年会，首都大学東京 |
| 2017.6 | Normal closures of slope elements in knot groups and the peripheral Magnus property | 広島大学トポロジー幾何セミナー，広島大学 |
| 2017.8 | ３次元多様体の基本群に含まれる共役ねじれ元と両側不変順序 | 拡大KOOKセミナー2017，大阪工業大学 |
| 2017.11 | Generalized torsion elements and bi-orderability of 3-manifold groups | The 2nd Pan Pacific International Conference on Topology and Applications, Novotel, Busan, Korea |
| 2018.2 | Generalized torsion and Dehn surgery | Topology Seminar, The University of Texas at Austin, Texas, U.S.A. |
| 2018.9 | 長さ３のプレッツェル結び目の結び目群の正規生成元 | 日本数学会秋季総合分科会，岡山大学 |
| 2019.3 | fractional Fibonacci groupに含まれるgeneralized torsion | 研究集会「Geometric topology of low dimensions」，日本大学 |