## 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

- 2023, Undergraduate Education, 1Term, Algebra I
- 2023, Undergraduate Education, 3Term, AlgebraＩＩ
- 2023, Undergraduate Education, 3Term, Exercises in Algebra ＩＩ
- 2023, Undergraduate Education, 4Term, Algebra B
- 2023, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2023, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2023, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
- 2023, Graduate Education (Master's Program) , Academic Year, Algebra Seminar I
- 2023, Graduate Education (Master's Program) , Academic Year, Algebra Seminar I
- 2023, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
- 2023, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
- 2023, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
- 2023, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
- 2023, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics
- 2023, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

## Research Activities

### Academic Papers

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

### Publications such as books

- 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
- 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
- 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

- 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)
- 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)
- Modules on quandle spaces and representations of LY algebras, Branched Coverings, Degenerations, and Related Topics 2019, 2019/03, With Invitation, English
- Modules on quandle varieties, Higher dimensional algebraic geometry, 2018/03, With Invitation, English
- Quandle varieties, Capital Normal University-Hiroshima University Joint conference on Mathematics, 2017/09, With Invitation, English, Capital normal university
- Quandles associated to arithmetic schemes, Low dimensional topology and number theory VIII, 2016/03, With Invitation, English
- Quandles in algebraic and arithmetic geometry, The 10-th Anniversary Tokyo-Seoul Conference in Mathematics - Algebraic/Arithmetic/Complex Geometry, 2015/12, With Invitation, English
- Descending chain condition for stringy invariants, 2009/12, With Invitation, Japanese

## External Funds

### Acceptance Results of Competitive Funds

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