| 論文 |
| No. | 論文タイトル | 雑誌名 | 巻（号） | ページ | 出版年月 |
| 1 | Handlebody decompositions of three-manifolds and polycontinuous patterns | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | 478 (2260) | | 2022年04月 |
| 2 | Unknotting submanifolds of the 3-sphere by twistings | Ann. Sc. Norm. Super. Pisa Cl. Sci. | 印刷中 (3) | | 2016年09月21日 |
| 3 | Genera and minors of multibranched surfaces | Topology and its Appl | 印刷中 | | 2016年03月30日 |
| 4 | An obstruction to embedding $2$-dimensional complexes into the $3$-sphere | Topology and its Applications | 198 | | 2015年03月07日 |
| 5 | Knot homotopy in subspaces of the 3-sphere | Pacific Journal of Mathematics | 282 (2) | | 2015年02月17日 |
| 6 | A knot with destabilized bridge spheres of arbitrarily high bridge number | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 93 (2) | 379 -396 | 2015年01月26日 |
| 7 | Dehn surgery and Seifert surface system | | | | 2014年06月24日 |
| 8 | Composite tunnel number one genus two handlebody-knots | | | | 2013年05月15日 |
| 9 | Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors | Transactions of the American Mathematical Society | 367 (4) | | 2012年12月24日 |
| 10 | Coexistence of coiled surfaces and spanning surfaces for knots and links | Journal of the Australian Mathematical Society | 99 (2) | | 2012年11月26日 |
| 11 | Knotted handle decomposing spheres for handlebody-knots | Journal of the Mathematical Society of Japan | 67 (1) | | 2012年11月19日 |
| 12 | A locally minimal, but not globally minimal bridge position of a knot | Mathematical Proceedings of the Cambridge Philosophical Society | 155 (1) | | 2012年03月06日 |
| 13 | The representativity of pretzel knots, J. Knot Theory and its Ramifications 21, 1250016 (2012). | | | | 2012年 |
| 14 | On the Neuwirth conjecture for knots, Communications in Analysis and Geometry 20 (2012) 1019-1060. | | | | 2012年 |
| 15 | Essential state surfaces for knots and links | J. Austral. Math. Soc. | 91 (3) | 391 -404 | 2011年12月 |
| 16 | Waist and trunk of knots | GEOMETRIAE DEDICATA | 149 (1) | 85 -94 | 2010年12月 |
| 17 | Non-minimal bridge positions of torus knots are stabilized | | | 307 -317 | 2010年06月05日 |
| 18 | Ascending number of knots and links | Journal of Knot Theory and its Ramifications | 19 (1) | 15 -25 | 2010年01月 |
| 19 | Bridge position and the representativity of spatial graphs | Topology and its Applications | 159 (4) | 936 -947 | 2009年09月07日 |
| 20 | On a genus of a closed surface containing a brunnian link | Tokyo Journal of Mathematics | 31 (2) | 347 -349 | 2008年 |
| 21 | Closed incompressible surfaces of genus two in 3-bridge knot complements | | | 1130 -1139 | 2007年02月28日 |
| 22 | Primitive spatial graphs and graph minors | REVISTA MATEMATICA COMPLUTENSE | 20 (2) | 391 -406 | 2007年 |
| 23 | Non-triviality of generalized alternating knots | | | 351 -360 | 2005年04月01日 |
| 24 | Morse position of knots and closed incompressible surfaces | | | 377 -397 | 2005年03月18日 |
| 25 | Newly found forbidden graphs for trivializability | Journal of Knot Theory and its Ramifications | 14 (4) | 523 -538 | 2005年 |
| 26 | Totally knotted Seifert surfaces with accidental peripherals | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 131 (12) | 3945 -3954 | 2003年 |
| 27 | Minimally knotted spatial graphs are totally knotted | Tokyo Journal of Mathematics | 26 (2) | 413 -421 | 2003年 |
| 28 | On non-simple reflexive links | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 11 (5) | 787 -791 | 2002年08月 |
| 29 | Accidental surfaces and exceptional surgeries | OSAKA JOURNAL OF MATHEMATICS | 39 (2) | 335 -343 | 2002年06月 |
| 30 | Impossibility of obtaining split links from split links via twistings | | 10 (no. 8) | 1229 -1231 | 2001年04月24日 |
| 31 | Closed incompressible surfaces in the complements of positive knots | | 77 | 235 -243 | 2001年04月24日 |
| 32 | Satellite double torus knots | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 10 (1) | 133 -142 | 2001年02月 |
| 33 | Accidental surfaces in knot complements | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 9 (6) | 725 -733 | 2000年09月 |
| 34 | Hyperbolic knot complements without closed embedded totally geodesic surfaces | Journal of the Australian Mathematical Society | 68 (3) | 379-386 | 2000年06月 |
| 35 | Hyperbolic knot complements without closed embedded totally geodesic surfaces | JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 68 (no. 3) | 379 -386 | 2000年06月 |
| 36 | Synchronism of an incompressible non-free Seifert surface for a knot and an algebraically split closed incompressible surface in the knot complement | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 128 (3) | 919 -922 | 2000年03月 |
| 37 | Genus one, three-bridge knots are pretzel | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 8 (7) | 879 -885 | 1999年11月 |
| 38 | On tangle decompositions of tunnel number one links | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 8 (3) | 299 -320 | 1999年05月 |
| 39 | Satellite knots of free genus one | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 8 (1) | 27 -31 | 1999年02月 |
| 40 | Tangle decompositions of double torus knots and links | Journal of Knot Theory and its Ramifications | 8 (7) | 931 -939 | 1999年 |
| 41 | Tangle decompositions of satellite knots | Rev. Mat. Complut. | 12 (no. 2) | 417 -437 | 1999年 |
| 42 | Additivity of free genus of knots | | 40 | 659 -665 | 1998年11月08日 |
| 43 | Free genus one knots do not admit essential tangle decompositions | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 7 (7) | 945 -953 | 1998年11月 |
| 44 | On uniqueness of essential tangle decompositions of knots with free tangle decompositions | in Proc. Appl. Math. Workshop | 8 | 227 -232 | 1998年 |
| 45 | Uniqueness of essential free tangle decompositions of knots and links | KNOTS '96 (Tokyo) | | 231 -238 | 1997年 |
| MISC |
| No. | MISCタイトル | 雑誌名 | 巻（号） | ページ | 出版年月 |
| 1 | Stable equivalence of bridge positions of a handlebody-knot | International Journal of Mathematics | | 2150093 -2150093 | 2021年12月 |
| 2 | Multibranched surfaces in 3-manifolds | | | | 2020年05月15日 |
| 3 | The maximum and minimum genus of a multibranched surface | | | | 2020年05月14日 |
| 4 | A partial order on multibranched surfaces in 3-manifolds | Topology and its Applications | 272 | | 2019年05月03日 |
| 5 | Stabilization of bridge decompositions of knots and bridge positions of knot types | 京都大学数理解析研究所 講究録 | 2135 | 2135 -05 | 2019年 |
| 6 | 結び目と曲面—特集 絵のある数学 | 数学セミナー | 57 (7) | 13 -19 | 2018年07月 |
| 7 | Neighborhood equivalence for multibranched surfaces in 3-manifolds | Topology and its Applications | 257 | | 2018年06月23日 |
| 8 | Characterization of 3-punctured spheres in non-hyperbolic link exteriors | Topology and its Applications | 264 | | 2018年05月31日 |
| 9 | Decomposing Heegaard splittings along separating incompressible surfaces in 3-manifolds | Topology and its Applications | 264 | | 2018年03月24日 |
| 10 | Two more proofs that the Kinoshita graph is knotted | American Mathematical Monthly | 126 (4) | | 2018年03月14日 |
| 11 | The incompatibility of crossing number and bridge number for knot diagrams | Discrete Mathematics | 342 (7) | | 2017年10月31日 |
| 12 | Height, trunk and representativity of knots | Journal of the Mathematical Society of Japan | 71 (4) | | 2017年09月21日 |
| 13 | 結び目と曲面 | 数学 | 67 (4) | 403 -423 | 2016年03月30日 |
| 14 | Thin position for incompressible surfaces in 3-manifolds | | | | 2015年11月03日 |
| 15 | A knot with destabilized bridge spheres of arbitrarily high bridge number | J. London Math. Soc. (2) 93 (2016), no. 2, 379--396 | | | 2015年01月26日 |
| 16 | On the Neuwirth conjecture for knots | | | | 2011年03月14日 |
| 17 | The representativity of pretzel knots | | | | 2009年11月16日 |
| 18 | Waist and trunk of knots | | | | 2009年05月27日 |
| 19 | Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links | | 92 (1) | 135 -136 | 2008年03月09日 |
| 20 | Edge number of knots and links | | | | 2007年05月30日 |
| 21 | Ascending number of knots and links | | | | 2007年05月23日 |
| 22 | Essential state surfaces for knots and links | | | | 2006年09月06日 |
| 23 | A property of diagrams of the trivial knot | | | | 2006年06月13日 |
| 講演・口頭発表等 |
| No. | 講演・口頭発表タイトル | 会議名 | 発表年月日 | 会議種別 |
| 1 | Partially ordered set of complexes by embeddings and the existence of critical subcomplexes | 日本数学会2024年度年会 | 2024年03月17日 | |
| 2 | Characterization of critical complexes which have a form $(G\times S^1)\cup H$ | 日本数学会2024年度年会 | 2024年03月17日 | |
| 3 | Critical complexes for the 3-sphere | East Asian Conference on Geometric Topology | 2024年02月21日 | |
| 4 | Critical complexes | Coloquio CIMAT-DEMAT | 2023年02月22日 | |
| 5 | Forbidden minor multibranched surfaces and critical 2-complexes | Low Dimensional Topology and Circle-valued Morse Functions | 2023年02月10日 | |
| 6 | The 10 unsolved problems in Knot Theory | Escuela Fico González-Acuña de Nudos y 3-Variedades | 2022年12月07日 | |
| 7 | Forbidden minor multibranched surfaces and critical 2-complexes | Fico González-Acuña Low Dimensional Topology Seminar | 2022年06月10日 | |
| 8 | Dehn surgery and Seifert surface system | Seminari di Geometria | 2014年02月19日 | 口頭発表（一般） |
| 9 | Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors | Low-dimensional Topology and Geometry in Toulouse | 2013年06月24日 | |
| 10 | Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors | | 2013年06月06日 | |
| 11 | Coexistence of coiled surfaces and spanning surfaces for knots and links | School on Knot Theory and 3-Manifolds | 2012年12月20日 | |
| 12 | Composite handlebody-knots | Seminari di Geometria | 2012年09月05日 | |
| 13 | A locally minimal, but not globally minimal bridge position of a knot | Mini-symposium "Knot Theory and its ramifications" at The 6th European Congress of Mathematics | 2012年07月05日 | |
| 14 | A locally minimal, but not globally minimal bridge position of a knot | Seminario de Topologia en Dimensiones Bajas | 2012年02月17日 | |
| 15 | Bridge presentations of knots | El Seminario de Topologia en Dimensiones Bajas | 2011年08月19日 | |
| 16 | Bridge position and the representativity of spatial graphs | V International Conference Japan-Mexico on Topology and its Applications | 2010年09月29日 | |
| 17 | Thin position for incompressible surfaces | Mathematics Colloquia and Seminars | 2010年09月28日 | |
| 18 | Bridge position and the representativity of spatial graphs | International Workshop on Spatial Graphs 2010 | 2010年08月19日 | |
| 19 | Essential surfaces derived from knot and link diagrams | Algebra-Geometry-Topology Seminar 2009 | 2009年05月11日 | |
| 20 | Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links | Knots and soft-matter physics | 2008年08月27日 | |
| 21 | Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links. | The 2008 Spring AMS Western Section Meeting | 2008年05月04日 | |
| 22 | Essential state surfaces for knots and links | Knotting Mathematics and Art | 2007年11月02日 | |
| 23 | Closed incompressible surfaces of genus two in 3-bridge knot complements | Knots, Groups and 3-Manifolds in Marseille 2006 | 2006年05月23日 | |
| 24 | Separating incompressible surfaces are abundant | Conference on 3-Manifolds and Knot Theory | 2005年05月26日 | |
| 25 | Separating incompressible surfaces are abundant in 3-manifolds, | California Institute of Technology 「The N+2nd Southern California Topology Conference」 | 2005年04月30日 | |
| 26 | Primitive spatial graphs and graph minors | International Workshop on Knots and Links in a Spatial Graph | 2004年07月22日 | |
| 27 | Closed Incompressible Surface in Positive Knot Complements and 2-bridge Theta-curve Complements | GEOMETRY/TOPOLOGY SEMINAR | 2002年02月01日 | |
| 28 | Impossibility of obtaining split links from split links via twistings, | KNOTS IN WASHINGTON XII | 2001年05月10日 | |
| 29 | Accidental surfaces in knot complements | | 2001年02月23日 | |
| 30 | Closed incompressible surfaces in the complements of positive knots | 「KNOTS 2000 Joint with The 8th Korea-Japan School of Knots and Links」Korea Advanced Institute of Science and Technology, Department of Mathematics | 2000年08月03日 | |
| 31 | Closed incompressible surfaces in the complements of positive knots | Workshop "Knot Theory" - Dedicated to Professor Kunio Murasugi for his 70th birthday - | 1999年07月15日 | |
| 32 | On tangle decompositions of tunnel number one links | KNOTS IN HELLAS '98, | 1998年08月12日 | |
| 33 | Free genus one knots | The sixth Japan-Korea School of Knots and Links | 1998年02月16日 | |
| 34 | On uniqueness of essential tangle decompositions of knots and links with free tangle decompsitions | Korea Advanced Institute of Science and Technology, 「The Fifth Korea-Japan School of Knots and Links」 | 1997年02月19日 | |
| 35 | Uniqueness of essential free tangle decompositions of knots and links | 第５回日本数学会国際研究集会「結び目理論」 | 1996年07月26日 | |
| 36 | Essential free decompositions of knot exteriors | 第５回日本数学会国際研究集会「結び目理論」 | 1996年07月26日 | |
