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J-GLOBAL ID：201601015135232760   Update date: Oct. 14, 2024

Saito Toshio

サイトウ トシオ | Saito Toshio
Affiliation and department：
上越教育大学 学校教育研究科(研究院)

About 上越教育大学 学校教育研究科(研究院)


Job title： 教授
Other affiliations (1)：
Homepage URL  (1)： http://www.juen.ac.jp/math/saito/
Research field  (1)： Geometry
Research keywords  (5)： 3-manifold ,  Heegaard splitting ,  flow spine ,  knot ,  tangle
Research theme for competitive and other funds  (3)：
  • 2021 - 2026 Research on 3-manifolds by splitting and gluing
  • 2015 - 2020 Research on 3-manifolds using infinite complexes associated to surfaces
  • 2012 - 2014 Research on knots using Heegaard theory
Papers (32)：
  • Ippei Ishii, Takuji Nakamura, Toshio Saito. A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams. Canad. J. Math. 2024. 76. 3. 984-1004
  • Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito. On constraints for knots to admit chirally cosmetic surgeries and their calculations. Pacific J. Math. 2022. 321. 1. 167-191
  • Kazuhiro Ichihara, Toshio Saito. Knots in homology lens spaces determined by their complements. Bull. Korean Math. Soc. 2022. 59. 4. 869-877
  • Kazuhiro Ichihara, In Dae Jong, Thomas W Mattman, Toshio Saito. Two-bridge knots admit no purely cosmetic surgeries. Algebr. Geom. Topol. 2021. 21. 5. 2411-2424
  • Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito. Chirally Cosmetic Surgeries and Casson Invariants. Tokyo J. Math. 2021. 44. 1. 1-24
ｍore...
MISC (5)：
Books (1)：
  • Lecture Notes on Generalized Heegaard Splittings
    World Scientific Publishing Company 2016 ISBN:9789813109117
Lectures and oral presentations  (80)：
  • 3次元多様体の仮想結び目図式表示と彩色不変量
    (東京女子大学トポロジーセミナー 2024)
  • Toward understanding 3-manifolds by using virtual knot diagrams
    (2024 Dalian International Conference on Mathematics 2024)
  • Exceptional or half-integral chirally cosmetic surgeries
    (The 19th East Asian Conference on Geometric Topology 2024)
  • Knots in homology lens spaces determined by their complements
    (日本数学会秋季総合分科会 2021)
  • A coloring invariant of 3-manifolds derived from flow spines and virtual knot diagrams
    (日本数学会秋季総合分科会 2020)
ｍore...
Education (3)：
  • - 2004 Osaka University Graduate School of Science, Ph. D. Course Program Department of Mathematics
  • - 2001 Osaka University Graduate School of Science, Master Course Program Department of Mathematics
  • - 1999 Osaka University School of Science Department of Mathematics
Professional career (1)：
  • 博士(理学) (大阪大学)
Work history (7)：
  • 2019/10 - 現在 Hyogo University of Teacher Education
  • 2019/10 - 現在 Joetsu University of Education Graduate School of Education Professor
  • 2012/10 - 2019/09 Hyogo University of Teacher Education
  • 2011/04 - 2019/09 Joetsu University of Education Graduate School of Education Associate Professor
  • 2009/04 - 2011/03 JSPS Postdoctoral Fellow for Research Abroad
Show all
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
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