NOBUYOSHI TAKAHASHI

Last Updated :2024/06/05

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor
E-mail
tkhsnbyshiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Doctor of Philosophy, The University of Tokyo
  • Master, The University of Tokyo

Educational Activity

  • [Bachelor Degree Program] School of Science : Mathematics : Mathematics
  • [Master's Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program
  • [Doctoral Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program

Research Fields

  • Mathematical and physical sciences;Mathematics;Algebra

Research Keywords

  • Quandle variety
  • arithmetic quandle
  • open algebraic variety
  • enumerative geometry

Educational Activity

Course in Charge

  1. 2024, Undergraduate Education, 1Term, Algebra I
  2. 2024, Undergraduate Education, 1Term, Exercises in Algebra I
  3. 2024, Undergraduate Education, 3Term, AlgebraII
  4. 2024, Undergraduate Education, 1Term, Advanced Mathematics
  5. 2024, Undergraduate Education, 4Term, Algebra B
  6. 2024, Undergraduate Education, 4Term, Exercises in Algebra B
  7. 2024, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  8. 2024, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  9. 2024, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
  10. 2024, Graduate Education (Master's Program) , Academic Year, Algebra Seminar I
  11. 2024, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  12. 2024, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  13. 2024, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  14. 2024, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
  15. 2024, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Log mirror symmetry and local mirror symmetry, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 220(2), 293-299, 200107
  2. Local and relative Gromov-Witten invariants of the projective plane, MANUSCRIPTA MATHEMATICA, 111(4), 413-426, 200308
  3. An application of Noether-Fano inequalities, Mathematische Zeitschrift, 228(1), 1-9, 19980401
  4. Mirror symmetry and C-X, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 129(1), 29-36, 2001
  5. Motivic zeta functions in additive monoidal categories, JOURNAL OF K-THEORY, 9(3), 459-473, 201206
  6. Nonstandard point counting for algebraic varieties, COMMUNICATIONS IN ALGEBRA, 41(3), 971-988, 20130306
  7. The closed cone of a rational series is rational polyhedral, JOURNAL OF ALGEBRA, 405, 243-258, 20140301
  8. Primitivity of sublattices generated by classes of curves on an algebraic surface, Comment. Math. Univ. St. Pauli, 59(2), 77-95, 201012
  9. Descending chain condition for stringy invariants, RIMS Kôkyûroku Bessatsu, B24, 165-178, 201103
  10. Quandle varieties, generalized symmetric spaces, and phi-spaces, Transformation Groups, 21(2), 555-576, 201606
  11. Quandles associated to Galois covers of arithmetic schemes, Kyushu Journal of Mathematics, 73(1), 145-164, 201902
  12. Local BPS Invariants: Enumerative Aspects and Wall-Crossing, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020(17), 5450-5475, 202009
  13. LOG BPS NUMBERS OF LOG CALABI-YAU SURFACES, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 374(1), 687-732, 202101
  14. Sheaves of maximal intersection and multiplicities of stable log maps, SELECTA MATHEMATICA-NEW SERIES, 27(4), 202109

Publications such as books

  1. 2004, Algebraic Geometry, シュプリンガー・フェアラーク東京, Scholarly Book, Joint Translation, R. Hartshorne; trans. by D. Matsushita, N. Takahashi, 443171135X
  2. 2005, Algebraic Geometry, シュプリンガー・フェアラーク東京, Scholarly Book, Joint Translation, R. Hartshorne; trans. by D. Matsushita, N. Takahashi, 4431711368
  3. 2005, Algebraic Geometry, シュプリンガー・フェアラーク東京, Scholarly Book, Joint Translation, R. Hartshorne; trans. by D. Matsushita, N. Takahashi, 4431711376

Invited Lecture, Oral Presentation, Poster Presentation

  1. Log BPS numbers and contributions of degenerate log maps, Nobuyoshi Takahashi, Online workshop on mirror symmetry and related topics, Kyoto 2021, 2021/12/15, With Invitation, English, Hiroshi Iritani, Yukiko Konishi, Atsushi Takahashi, Yuuji Tanaka, Kyoto University(online)
  2. Modules over quandle spaces and representations of Lie-Yamaguti algebras, Nobuyoshi Takahashi, Quandles and symmetric spaces, 2020/12/18, With Invitation, Japanese, Seiichi Kamada, Akira Kubo, Takayuki Okuda, Kanako Oshiro, Hiroshi Tamaru, Makiko Sumi Tanaka, Hiroyuki Tasaki, Osaka Central Advanced Mathematical Institute (Zoom)
  3. Modules on quandle spaces and representations of LY algebras, Branched Coverings, Degenerations, and Related Topics 2019, 2019/03, With Invitation, English
  4. Modules on quandle varieties, Higher dimensional algebraic geometry, 2018/03, With Invitation, English
  5. Quandle varieties, Capital Normal University-Hiroshima University Joint conference on Mathematics, 2017/09, With Invitation, English, Capital normal university
  6. Quandles associated to arithmetic schemes, Low dimensional topology and number theory VIII, 2016/03, With Invitation, English
  7. Quandles in algebraic and arithmetic geometry, The 10-th Anniversary Tokyo-Seoul Conference in Mathematics - Algebraic/Arithmetic/Complex Geometry, 2015/12, With Invitation, English
  8. Descending chain condition for stringy invariants, 2009/12, With Invitation, Japanese

External Funds

Acceptance Results of Competitive Funds

  1. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2017, 2020
  2. KAKENHI, 2011, 2015
  3. KAKENHI, Applications of formal loop spaces and arc spaces, 2007, 2010
  4. KAKENHI, 2004, 2006
  5. KAKENHI, 2001, 2002
  6. KAKENHI, 2013, 2015
  7. KAKENHI, Higher dimensional braid monodromy, 2011, 2012
  8. KAKENHI, Conservativity and finite dimensional conjecture for Motives, 2009, 2011
  9. KAKENHI, K3 surfaces and related algebraic varieties, 2008, 2011
  10. KAKENHI, New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm, 2007, 2010