Masakazu Teragaito

Last Updated :2021/04/16

Affiliations, Positions
Graduate School of Humanities and Social Sciences, Professor
E-mail
teragaihiroshima-u.ac.jp
Self-introduction
I was born in Osaka, then lived in Kobe as a student of Kobe university. Since 1996, I am in Higashi-hiroshima.

Basic Information

Major Professional Backgrounds

  • 1996/04/01, 1997/03/31, Hiroshima University, Lecturer
  • 1991/04/01, 1996/03/31, Kobe University, Research Assistant
  • 1993/04/01, 1996/03/31, Osaka Institute of Technology, Part-time Lecturer
  • 1997/04/01, 2007/03/31, Hiroshima University, Associate Professor
  • 2007/04/01, 2010/03/31, Hiroshima University, Associate Professor
  • 2010/04/01, 2020/03/31, Hiroshima University, Professor
  • 2011/04/01, 2012/03/31, Konan University, Part-time lecturer

Educational Backgrounds

  • Kobe University, Faculty of Science, Japan, 1982/04, 1986/03
  • Kobe University, Graduate School of Science, Mathematics, Japan, 1986/04, 1988/03
  • Kobe University, Graduate School, Division of National Science and Technology, Japan, 1988/04, 1991/03

Academic Degrees

  • Doctor of Philosophy, Kobe University
  • Master of Science, Kobe University

Educational Activity

  • 【Bachelor Degree Program】School of Education : Science, Technology and Society Education
  • 【Master's Program】Graduate School of Humanities and Social Sciences : Division of Educational Sciences : Educational Design for Teacher Educators Program
  • 【Doctoral Program】Graduate School of Humanities and Social Sciences : Division of Educational Sciences : Educational Design for Teacher Educators Program

In Charge of Primary Major Programs

  • Secondary School Mathematics Education

Research Fields

  • Mathematical and physical sciences;Mathematics;Geometry

Research Keywords

  • 3-manifold
  • Knot
  • ordering

Affiliated Academic Societies

  • American Mathematical Society
  • Mathematical Society of Japan

Educational Activity

Course in Charge

  1. 2021, Undergraduate Education, 1Term, Introduction to Geometry
  2. 2021, Undergraduate Education, 4Term, Practice in Introduction to Geometry
  3. 2021, Undergraduate Education, 1Term, Research Methods in Geometry
  4. 2021, Undergraduate Education, 4Term, Research Methods in Geometry II
  5. 2021, Undergraduate Education, 4Term, Study of Instructional Materials in Geometry
  6. 2021, Undergraduate Education, Second Semester, Graduation Thesis
  7. 2021, Undergraduate Education, First Semester, Study of Instructional Materials in Geometry Education
  8. 2021, Undergraduate Education, Second Semester, Practical Seminar for the Teaching Profession
  9. 2021, Graduate Education (Doctoral Program) , 1Term, Research into Curriculum and Instruction Sciences (Specialization in Mathematics Education)
  10. 2021, Graduate Education (Doctoral Program) , 3Term, Research into Curriculum and Instruction Sciences (Specialization in Mathematics Education)
  11. 2021, Graduate Education (Master's Program) , First Semester, Special Study in Mathematics Education A
  12. 2021, Graduate Education (Master's Program) , Second Semester, Special Study in Mathematics Education A
  13. 2021, Graduate Education (Master's Program) , 2Term, Basic Study in STEM and the Design of Teaching Materials (Mathematics)
  14. 2021, Graduate Education (Doctoral Program) , First Semester, Special Study
  15. 2021, Graduate Education (Doctoral Program) , Second Semester, Special Study
  16. 2021, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  17. 2021, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  18. 2021, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  19. 2021, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
  20. 2021, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Fibered 2-knots and lens spaces, Osaka Journal of Mathematics, 26(1), 57-63, 1989
  2. Twisting symmetry-spins of 2-bridge knots, Kobe Journal of Mathematics, 6(1), 117-126, 198906
  3. Twisting symmetry-spins of pretzel knots, Japan Academy Proceedings Series A, Mathematical Sciences, 66(7), 179-183, 199009
  4. 2-Knots from a view of moving picture, Kobe Journal of Mathematics, 8(2), 161-172, 199112
  5. Symmetry-spun tori in the four-sphere, Walter de Gruyter, 163-171, 19920501
  6. A note on untwisted deform-spun 2-knots, Proceedings of Japan Academy, 68(4), 75-78, 19920401
  7. Composite knots trivialized by twisting, Journal of Knot Theory and its Ramifications, 1(4), 467-470, 19920801
  8. Composite knots trivialized by twists, RIMS Kokyuroku, 813, 71-78, 199211
  9. Roll-spun Knots, Mathematical Proceedings of the Cambridge Philosophical Society, 113(1), 91-96, 19930101
  10. Twist-roll spun knots, Proceedings of the American Mathematical Society, 122(2), 597-599, 19941001
  11. Homology handles with multiple knot-surgery descriptions, Topology and its Applications, 56(3), 249-257, 19940401
  12. Twisting operations and composite knots - in search of Scharlemann cycles, Proceedings of Applied Mathematics Workshop, 4, 233-237, 19940201
  13. Twisting operations and composite knots, Proceedings of the American Mathematical Society, 123(5), 1623-1629, 19950501
  14. Dehn surgery and projective planes, Kobe Journal of Mathematics, 13(2), 203-207, 19961201
  15. Cyclic surgery on genus one knots, Osaka Journal of Mathematics, 34(1), 145-150, 19970301
  16. Dehn surgery on genus one knots and Seifert fibered manifolds, Proceedings of Applied Mathematics Workshop, 8, 315-325, 19981101
  17. Tunnel number one genus one non-simple links, Tokyo Journal of Mathematics, 22(1), 99-103, 19990601
  18. On tangle decompositions of tunnel number one links, Journal of Knot Theory and its Ramifications, 8(3), 299-320, 19990501
  19. Dehn surgeries on composite knots creating Klein bottles, Journal of Knot Theory and its Ramifications, 8(3), 391-395, 19990501
  20. Genus one, three-bridge knots are pretzel, Journal of Knot Theory and its Ramifications, 8(7), 879-885, 19991101
  21. Gluck surgery along a 2-sphere in a 4-manifold is realized by surgery along a projective plane, Michigan Mathematical Journal, 46(3), 555-571, 19991101
  22. ★, Dehn surgeries on knots which yield lens spaces and genera of knots, Mathematical Proceedings of the Cambridge Philosophical Society, 129, 501-515, 200011
  23. Creating Klein bottles by surgery on knots, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 10(5), 781-794, 200108
  24. Links with surgery yielding the 3-sphere, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 11(1), 105-108, 200202
  25. Toroidal surgeries on hyperbolic knots, Proceedings of the American Mathematical Society, 130(9), 2803-2808, 200202
  26. Boundary slopes of non-orientable Seifert surfaces for knots, TOPOLOGY AND ITS APPLICATIONS, 122(3), 467-478, 20020816
  27. Dehn fillings creating essential spheres and tori, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 11(6), 887-890, 200209
  28. Dehn surgery on crosscap number two knots and projective planes, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 11(6), 869-886, 200209
  29. P^2-reducing and toroidal Dehn fillings, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 134, 271-288, 200303
  30. Klein bottle surgery and genera of knots, PACIFIC JOURNAL OF MATHEMATICS, 210(2), 317-333, 200306
  31. Toroidal surgeris on hyperbolic knots, II, The Asian Journal of Mathematics, 7(1), 139-146, 20030301
  32. The simplest hyperbolic knots with non-integral toroidal surgery, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 12(8), 1023-1039, 200312
  33. ★, Crosscap numbers of torus knots, TOPOLOGY AND ITS APPLICATIONS, 138(1-3), 219-238, 20040328
  34. Klein bottle surgery and genera of knots, II, TOPOLOGY AND ITS APPLICATIONS, 146, 195-199, 20050101
  35. On hyperbolic 3-manifolds realizing the maximal distance between toroidal Dehn fillings, ALGEBRAIC AND GEOMETRIC TOPOLOGY, 5, 463-507, 2005
  36. Distance between toroidal surgeries on hyperbolic knots in the 3-sphere, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358(3), 1051-1075, 2006
  37. Reducing Dehn fillings and small surfaces, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 92, 203-223, 200601
  38. On hyperbolic knots realizing the maximal distance between toroidal surgeries, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 15(1), 101-119, 200601
  39. Crosscap numbers of 2-bridge knots, TOPOLOGY, 45(3), 513-530, 200605
  40. ★, Toroidal Dehn fillings on large hyperbolic 3-manifolds, Communications in Analysis and Geometry, 14(3), 565-601, 20060701
  41. On non-integral Dehn surgeries creating non-orientable surfaces, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 49(4), 624-627, 200612
  42. Alexander polynomials of doubly primitive knots, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135(2), 605-615, 2007
  43. ★, A Seifert Fibered Manifold with Infinitely Many Knot-Surgery Descriptions, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007
  44. Boundary structure of hyperbolic 3-manifolds admitting annular and toroidal fillings at large distance, CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 60(1), 164-188, 200802
  45. Hyperbolic knots with three toroidal Dehn surgeries, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 17(9), 1051-1061, 200809
  46. Non-invertible knots having toroidal Dehn surgery of hitting number four, HIROSHIMA MATHEMATICAL JOURNAL, 38(3), 447-454, 200811
  47. Isolated exceptional Dehn surgeries on hyperbolic knots, TOPOLOGY AND ITS APPLICATIONS, 156(6), 1148-1152, 20090301
  48. Boundary structure of hyperbolic 3-manifolds admitting toroidal fillings at large distance, MATHEMATISCHE ANNALEN, 344(1), 119-159, 200905
  49. Toroidal Dehn surgery on hyperbolic knots and hitting number, TOPOLOGY AND ITS APPLICATIONS, 157(1), 269-273, 20100101
  50. Knots yielding homeomorphic lens spaces by Dehn surgery, PACIFIC JOURNAL OF MATHEMATICS, 244(1), 169-192, 201001
  51. Cyclic Surgery Between Toroidal Surgeries, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 54(3), 556-560, 201109
  52. Left-orderability and Exceptional Dehn Surgery on Twist Knots, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 56(4), 850-859, 201312
  53. Left-orderability and exceptional Dehn surgery on two-bridge knots, Contemporary Mathematics, 597, 225-233, 20130901
  54. Left-orderable fundamental groups and Dehn surgery on two-bridge knots (Intelligence of Low-dimensional Topology), 1866, 30-38, 201312
  55. Left-orderable Fundamental Group and Dehn Surgery on the Knot 5(2), CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 57(2), 310-317, 201406
  56. ★, Left-orderable fundamental groups and Dehn surgery on genus one 2-bridge knots, Algebraic and Geometric Topology, 14(4), 2125-2148, 2014
  57. Left-orderable, non-L-space surgeries on knots, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 22(3), 421-449, 201407
  58. Four-fold cyclic branched covers of genus one two-bridge knots are L-spaces, Bol. Soc. Mat. Mexicana, 20(2), 391-403, 2014
  59. Quasi-alternating links and Q-polynomials, J. Knot Theory Ramifications, 23(12), 1450068-1-1450068-6, 2014
  60. Quasi-alternating links and Kauffman polynomials, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 24(7), 201506
  61. CYCLIC BRANCHED COVERS OF ALTERNATING KNOTS AND L-SPACES, BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 52(4), 1139-1148, 201507
  62. Triple crossing numbers of graphs, Communications in Mathematical Research, 32(1), 1-38, 201602
  63. ★, GENERALIZED TORSION ELEMENTS IN THE KNOT GROUPS OF TWIST KNOTS, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 144(6), 2677-2682, 201606
  64. Generalized Torsion Elements and Bi-orderability of 3-manifold Groups, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 60(4), 830-844, 201712
  65. WEIGHT ELEMENTS OF THE KNOT GROUPS OF SOME THREE-STRAND PRETZEL KNOTS, BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 98(2), 305-318, 201810
  66. Vanishing nontrivial elements in a knot group by Dehn fillings, TOPOLOGY AND ITS APPLICATIONS, 264, 223-232, 20190901
  67. GENERALIZED TORSION AND DECOMPOSITION OF 3-MANIFOLDS, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 147(11), 4999-5008, 201911
  68. Generalized torsion elements and hyperbolic links, Journal of Knot Theory and Its Ramifications, 29(11), 2050079, 20201028
  69. A Trial of Computer Network Server System Construction and its Educational Utilization in Schools, Hiroshima Journal of School Education, 5, 101-109, 19990301
  70. Creation of an Educational Curriculum to Enhance the Mathematical Ability Applying to Daily Life : Focusing on the Ability of Communication, 36, 41-50, 20040331
  71. Developing a learning material to understand and explore solar eclipses as a STEM topic, 17-24, 20171222

Publications such as books

  1. 2014/09/01, Gateway to the future Math 1,2,3 for Junior High School, 2014, 09, Textbook, Joint Translation, 英語
  2. 2012/09/01, Fun with Math for Elementary School (1,2A,2B,3A,3B,4A,4B,5A,5B,6A,6B), 2012, 09, Textbook, Joint Translation, 英語
  3. 1996, A survey of knot theory , Birkhauser, 1996

Invited Lecture, Oral Presentation, Poster Presentation

  1. Fibered 2-knots and lens spaces, Masakazu Teragaito, 1987/02/05, Without Invitation, Japanese, Waseda University
  2. Deform-spinning and prism manifolds, Masakazu Teragaito, 1988/02/06, Without Invitation, Japanese, Waseda University
  3. Twisting-symmetry spins, Masakazu Teragaito, Topology Seminar, University of Toronto, 1990/04/05, Without Invitation, English, University of Toronto
  4. Symmetry-spun tori in the four-sphere, Masakazu Teragaito, Knots 90, 1990/08/15, Without Invitation, English, Naniwa-kaikan Hotel, Osaka
  5. Symmetry-spun tori in the four-sphere, Masakazu Teragaito, 1990/09/28, Without Invitation, Japanese, Saitama University
  6. Twist-spun knots, Masakazu Teragaito, Japan-Korea School of Knots and Links, 1992/02/20, Without Invitation, English, Shikano-shima
  7. Twist-roll spun 2-knots, Masakazu Teragaito, 1992/04/01, Without Invitation, Japanese, Fukuoka University
  8. Roll-spun knots, Masakazu Teragaito, 1992/10/08, Without Invitation, Japanese, Nagoya University
  9. Creating Klein bottles by surgery on genus one knots, Masakazu Teragaito, Knots in Hellas '98, 1998/08/12, Without Invitation, English
  10. Hyperbolic knots with three toroidal Dehn surgeries, International Conference on Topology and its Applications 2007, 2007/12/07, Without Invitation, English
  11. Arrangement of exceptional Dehn surgery, UNAM Topology Seminar, 2008/09/26, With Invitation, English
  12. Boundary reducing knots in handlebodies, Masakazu Teragaito, The 7th East Asian School of Knots and Related Topics, 2011/01/10, Without Invitation, English, Hiroshima University
  13. Exceptional Dehn surgery on 2-bridge knots and left-orderability, Masakazu Teragaito, 2012/03/26, Without Invitation, Japanese, Tokyo University of Science
  14. Left-orderable fundamental group and Dehn surgery on twist knots, Masakazu Teragaito, The 9th East Asian School of Knots and Related Topics, 2013/01/15, Without Invitation, English, University of Tokyo
  15. Dehn surgery on twist knots and left-orderability, Masakazu Teragaito, 2013/03/20, Without Invitation, Japanese, Kyoto University
  16. Left-orderable fundamental groups and Dehn surgery on two-bridge knots, Masakazu Teragaito, Intelligence of Low-dimensional Topology, 2013/05/23, With Invitation, Japanese, Kyoto University
  17. Cyclic branched covers of genus one two-bridge knots and L-spaces, Masakazu Teragaito, International Conference on Topology and Geometry 2013, 2013/09/03, Without Invitation, English, Shimane University
  18. Cyclic branched covers of 2-bridge knots and L-spaces, Masakazu Teragaito, 2013/09/24, Without Invitation, Japanese, Ehime University
  19. Cyclic branched covers of knots and L-spaces, Masakazu Teragaito, Branched Coverings, Degenerations, and Related Topics 2015, 2015/02/23, Without Invitation, Japanese, Tohoku Gakuin University
  20. Quasi-alternating links and Q-polynomials, Masakazu Teragaito, 2015/03/24, Without Invitation, Japanese, Meiji University
  21. Generalized torsion elements in the knot groups of twist knots, Masakazu Teragaito, Hiroshima University Topology-Geometry Seminar, 2015/06/09, With Invitation, Japanese
  22. Quasi-alternating links and Kauffman polynomials, Masakazu Teragaito, KOOK Seminar 2015, 2015/08/20, Without Invitation, Japanese, Kobe University
  23. Quasi-alternating links and Kauffman polynomials, Masakazu Teragaito, 2015/09/13, Without Invitation, Japanese, The Mathematical Society of Japan, Kyoto Sangyo University
  24. Generalized torsion elements in the knot groups of twist knots, Masakazu Teragaito, Geometry and Topology of Low-dimensional Manifolds, 2015/10/29, With Invitation, English, Nara Women's University
  25. Generalized torsion elements in the knot groups of twist knots, Masakazu Teragaito, 1st Pan Pacific International Conference on Topology and Applications, 2015/11/28, With Invitation, English, Zhangzhou, China
  26. Quasi-alternating links and polynomial invariants, Masakazu Teragaito, Topology and Analysis of Discrete Groups and Hyperbolic Spaces, 2016/06/21, With Invitation, English, Kyoto University
  27. Generalized torsion elements and bi-orderability of 3-manifold groups, Masakazu Teragaito, Kimihiko Motegi, 3-manifold workshop, 2017/01/31, With Invitation, English, Isaac Newton Institute for Mathematical Sciences
  28. Generalized torsion elements and bi-orderability of 3-manifold groups, Masakazu Teragaito, Kimihiko Motegi, KOOK seminar 2017, 2017/08/30, Without Invitation, Japanese
  29. Generalized torsion elements and bi-orderability of 3-manifold groups, Masakazu Teragaito, Kimihiko Motegi, The 2nd Pan Pacific International Conference on Topology And Applications, 2017/11/13, With Invitation, English, Busan, Korea
  30. Generalized torsion in 3-manifold groups and normal closures of slope elements, Masakazu Teragaito, Kimihiko Motegi, Tetsuya Ito, Ordered groups and rigidity in dynamics and topology, 2019/06/18, With Invitation, English, BIRS, BIRS-CMO, Oaxaca, Mexico
  31. Generalized torsion and Dehn filling, Masakazu Teragaito, Tetsuya Ito, Kimihiko Motegi, The Third Pan Pacific International Conference on Topology and Applications, 2019/11/12, With Invitation, English, Chengdu, China
  32. Formal semigroups and Alexander polynomials of doubly primitive knots, Masakazu Teragaito, Knot Theory on Okinawa, 2020/02/18, With Invitation, English, OIST, OIST
  33. Generalized torsion elements and hyperbolic links, Masakazu Teragaito, Extended KOOK Seminar 2020, 2020/09/09, Without Invitation, Japanese
  34. Generalized torsion elements and hyperbolic links, Masakazu Teragaito, The Mathematical Society of Japan, Spring Meeting 2021 at Keio University, 2021/03/15, Without Invitation, Japanese, The Mathematical Society of Japan, Keio University (online)