Nagamine Takanori
| College of Science and Technology Department of Mathematics | Assistant Professor |
Researcher Information
Career
- Apr. 2024 - Present
Nihon University, College of Science and Technology Department of Mathematics, 助教 - Apr. 2020 - Mar. 2024
National Institute of Technology, Oyama College, Department of General Education, 助教 - Oct. 2019 - Mar. 2020
Niigata University, Faculty of Science, 非常勤講師 - Apr. 2019 - Mar. 2020
日本学術振興会, 特別研究員 PD (新潟大学) - Apr. 2019 - Sep. 2019
Niigata University, Institute of Education and Student Affairs, 非常勤講師 - Apr. 2018 - Mar. 2019
Japan Society for the Promotion of Science, 特別研究員 DC2 (新潟大学)
Educational Background
- Apr. 2016 - Mar. 2019
Niigata University, Graduate School of Science and Technology, Specialized Course Fundamental Sciences - Apr. 2014 - Mar. 2016
Niigata University, Graduate School of Science and Technology, Specialized Course Fundamental Sciences - Apr. 2010 - Mar. 2014
Niigata University, Faculty of Science, Department of Mathematics
Research activity information
Paper
- Affine and unirational unique factorization domains with unmixed gradings
Gene Freudenburg; Takanori Nagamine
Kyoto Journal of Mathematics (to appear), 2025, Refereed - Retracts of Laurent polynomial rings
Neena Gupta; Takanori Nagamine
Journal of the Ramanujan Mathematical Society (to appear), 2025, Refereed - Generalizations of Samuel's criteria for a ring to be a unique factorization domain
Daniel Daigle; Gene Freudenburg; Takanori Nagamine
Journal of Algebra, Mar. 2022, Refereed - On Some Sufficient Conditions for Polynomials to Be Closed Polynomials over Domains
Takanori Nagamine
Springer Proceedings in Mathematics and Statistics, 2020, Refereed - A note on retracts of polynomial rings in three variables
Takanori Nagamine
JOURNAL OF ALGEBRA, Sep. 2019, Refereed - Closed polynomials and their applications for computations of kernels of monomial derivations
Chiaki Kitazawa; Hideo Kojima; Takanori Nagamine
JOURNAL OF ALGEBRA, Sep. 2019, Refereed, Not invited - On some properties of coordinates in polynomial rings
Takanori Nagamine
COMMUNICATIONS IN ALGEBRA, 2018, Refereed, Not invited - Derivations having divergence zero and closed polynomials over domains
Takanori Nagamine
JOURNAL OF ALGEBRA, Sep. 2016, Refereed, Not invited - Closed polynomials in polynomial rings over integral domains
Hideo Kojima; Takanori Nagamine
JOURNAL OF PURE AND APPLIED ALGEBRA, Dec. 2015, Refereed, Not invited
MISC
- ★Remarks on retracts of polynomial rings in three variables in any characteristic
Hideo Kojima; Takanori Nagamine; Riko Sasagawa
18 Dec. 2024 - Smooth factorial affine surfaces of logarithmic Kodaira dimension zero with trivial units
Gene Freudenburg; Hideo Kojima; Takanori Nagamine
09 Oct. 2019, Not refereed, Not invited - Higher derivations of Jacobian type in positive characteristic
Takanori Nagamine
24 May 2019, Not refereed, Not invited - Factorial rational varieties which admit or fail to admit an elliptic $\mathbb{G}_m$-action
Gene Freudenburg; Takanori Nagamine
12 Dec. 2018, Not refereed, Not invited
Lectures, oral presentations, etc.
- ★Quasi-factorially closed subalgebras of Laurent polynomial rings
Takanori Nagamine
China-Japan Joint Meeting on Polynomial Ring Theory, Mar. 2025, Invited - ★On an algebra whose quotient field is retract rational
Takanori Nagamine
第23回アフィン代数幾何学研究集会, Mar. 2025, Invited - ★Factorial affine varieties with a torus action of complexity one
Takanori Nagamine
Joint Mathematics Meetings, AMS Special Session on Affine Algebraic Geometry and Ga-Actions, Jan. 2025, Invited - ★アフィン代数多様体におけるレトラクトの問題と消去問題
長峰孝典
第22回代数曲線論シンポジウム, Dec. 2024, Invited - ★Factorial affine varieties with a torus action of complexity one
Takanori Nagamine
新潟若手代数・幾何シンポジウム, Nov. 2024, Invited - ★Some Problems on Affine Algebraic Geometry
Takanori Nagamine
Interactions of Commutative Algebra, Representation Theory, and Combinatorics in Bangkok, Nov. 2024, Invited - ★Factorial affine varieties with a torus action of complexity one
Takanori Nagamine
特異点セミナー, Jul. 2024, Invited - ★Retracts of polynomial rings and Laurent polynomial rings
Takanori Nagamine
China-Japan Joint Meeting on Polynomial Ring Theory, Mar. 2024, Invited - ★Factorial varieties with a torus action of complexity one
Takanori Nagamine
The 22nd Affine Algebraic Geometry Meeting, Mar. 2024, Invited - ★Retracts of Laurent polynomial rings
長峰孝典
Algebra Seminar, Sep. 2023, Invited - ★Factorial varieties with a torus action of complexity one
長峰孝典
第28回代数曲面ワークショップ, May 2023, Invited - ★SamuelによるUFD判定の一般化とその応用
長峰孝典
第67回代数学シンポジウム, Sep. 2022, Invited - ★Some criteria for a ring to be a unique factorization domain
特異点セミナー, Mar. 2022, Invited - ★Some criteria for a ring to be a unique factorization domain
長峰孝典
The 20th affine algebraic geometry meeting, Mar. 2022, Invited - ★Generalizations of Samuel's criteria for a ring to be a unique factorization domain
長峰孝典
第17回多項式環論セミナー, Dec. 2021, Invited - ★A family of strongly invariant algebras
長峰孝典
第16回多項式環論セミナー, Dec. 2020, Invited - On an algebra whose quotient field is retract rational
Takanori Nagamine
第45回可換環論シンポジウム, Nov. 2024, Not invited - Quasi-factorially closed subalgebras of Laurent polynomial rings
Takanori Nagamine
第35回可換環論セミナー, Jun. 2024, Not invited - Affine and Unirational unique factorial domains with unmixed gradings
Takanori Nagamine
The 44th Japan Symposium on Commutative Algebra, Nov. 2023, Not invited - Retracts of Laurent polynomial rings
Takanori Nagamine
The Ninth China-Japan-Korea International Conference on Ring and Module Theory, Aug. 2023, Not invited - Retracts of Laurent polynomial rings
長峰孝典
第34回可換環論セミナー, Jul. 2023, Not invited - Some criteria for a ring to be a UFD and their applications
長峰孝典
第3回情報数理セミナー, Aug. 2022, Not invited - A note on graded unirational UFDs
第33回可換環論セミナー, Jun. 2022, Not invited - A family of strongly invariant algebras
長峰孝典
第42回可換環論シンポジウム, Nov. 2021 - A family of strongly invariant algebras
長峰孝典
第1回情報数理セミナー, Oct. 2021 - Generalizations of Samuel’s criteria for a ring to be a unique factorization domain
長峰孝典
オンライン可換環論セミナー2021, Jul. 2021 - Variables in polynomial rings in positive characteristic
長峰孝典
第41回可換環論シンポジウム, Nov. 2019 - Smooth factorial affine surfaces of logarithmic Kodaira dimension zero with trivial units
長峰孝典
新潟代数セミナー, Nov. 2019, Invited - A note on retracts of polynomial rings
長峰孝典
射影多様体の幾何とその周辺2019, Nov. 2019, Invited - A note on retracts of polynomial rings in three variables
長峰孝典
城崎代数幾何学シンポジウム2019, Oct. 2019 - Retracts of polynomial rings and the Abhyankar-Sathaye conjecture
長峰孝典
Algebra Seminar, Sep. 2019, Invited - A note on retracts of polynomial rings in three variables
長峰孝典
第六回若手代数複素幾何研究集会, Aug. 2019, Invited - A note on retracts of polynomial rings
長峰孝典
第32回可換環論セミナー, Jun. 2019 - A note on retracts of polynomial rings in three variables
長峰孝典
日本数学会2019年度年会, Mar. 2019 - Factorial rational varieties which admit or fail to admit an elliptic G_m-action
長峰孝典
The 17th affine algebraic geometry meeting, Mar. 2019, Invited - Factorial rational varieties which admit or fail to admit an elliptic G_m-action
長峰孝典
第24回代数学若手研究会, Feb. 2019 - Non-standard embedding for automorphism groups of affine spaces
長峰孝典
第13回多項式環論セミナー, Feb. 2019, Invited - Factorial rational varieties which admit or fail to admit an elliptic G_m-action
長峰孝典
第2回数理新人セミナー, Feb. 2019 - Non-standard embedding for automorphism groups of affine spaces
長峰孝典
新潟代数セミナー, Jan. 2019, Invited - A note on retracts of polynomial rings in three variables
長峰孝典
第6回 代数幾何学研究集会-宇部-, Jan. 2019, Invited - On higher derivations of Jacobian type in positive characteristic
長峰孝典
第12回多項式環論セミナー, Aug. 2018, Invited - Derivations and closed polynomials in polynomial rings
長峰孝典
Algebraic Geometry - Mariusz Koras in memoriam, May 2018 - On subalgebras of polynomial rings and fibers of morphisms
長峰孝典
第23回代数学若手研究会, Mar. 2018 - Closed polynomials over domains of characteristic zero
長峰孝典
Polynomial Rings and Affine Algebraic Geometry 2018, Feb. 2018, Invited - Derivations and closed polynomials in polynomial rings
長峰孝典
第39回可換環論シンポジウム, Nov. 2017 - On automorphisms and coordinates in polynomial rings
長峰孝典
代数学ミニシンポジウム2017 (倉敷), Sep. 2017, Invited - Factorially closed subalgebras of the polynomial rings
長峰孝典
第10回多項式環論セミナー, Sep. 2017, Invited - On automorphisms and coordinates in polynomial rings
長峰孝典
日本数学会2017年度秋季総合分科会, Sep. 2017 - On automorphisms and coordinates in polynomial rings
長峰孝典
10th Workshop on Galois point and related topics, Jul. 2017, Invited - 整閉多項式の一般化を用いた多項式環における自己同型の研究
長峰孝典
第9回多項式環論セミナー, Feb. 2017, Invited - 多項式に付随する導分と多項式環上の自己同型について
長峰孝典
新潟代数セミナー, Jan. 2017, Invited - 多項式に付随する導分と多項式環上の自己同型について
長峰孝典
代数幾何学セミナー, Jan. 2017, Invited - Derivations having divergence zero
長峰孝典
代数学ミニシンポジウム2016 in 倉敷, Aug. 2016, Invited - Derivations having divergence zero
長峰孝典
第8回多項式環論セミナー, Aug. 2016, Invited - Derivations and closed polynomials over domains
長峰孝典
The 14th affine algebraic geometry meeting, Mar. 2016, Invited - Derivations and Closed Polynomials over Domains
International Symposium on Mathematical Science at Niigata University 2016, Feb. 2016, Not invited - UFD上の多項式環における導分の核について
長峰孝典
日本数学会2015年度秋季総合分科会, Sep. 2015 - 多項式の整閉性の判定法について
長峰孝典
第6回多項式環論セミナー, Aug. 2015, Invited - Closed polynomials in polynomial rings
代数学ミニシンポジウム2015 in 岐阜, Aug. 2015, Invited - 整域上の多項式環における整閉多項式について
長峰孝典
代数小研究集会in新潟, Jun. 2015, Invited - 整域上の多項式環における整閉多項式について
長峰孝典
第5回多項式環論セミナー, Jan. 2015, Invited
Courses
- Introduction to Algebra A, Introduction to Algebra B
Apr. 2024 - Present
Nihon University - Calculus A, Calculus B
Apr. 2024 - Present
Nihon University - Applied Mathematics
Apr. 2023 - Mar. 2024
National Institute of Technology, Oyama College - Calculus II
Apr. 2022 - Mar. 2024
National Institute of Technology, Oyama College - Applied Analysis
Apr. 2020 - Mar. 2024
National Institute of Technology, Oyama College - Calculus
Apr. 2022 - Mar. 2023
National Institute of Technology, Oyama College - Complex Analysis
Apr. 2021 - Mar. 2022
National Institute of Technology, Oyama College - Linear Algebra
Apr. 2020 - Mar. 2022
National Institute of Technology, Oyama College - Fundamental Mathematics
Apr. 2020 - Mar. 2022
National Institute of Technology, Oyama College - Set and Topology
Oct. 2019 - Mar. 2020
Niigata University - Introduction to Algebra
Sep. 2019 - Mar. 2020
Niigata University - Fundamental Mathematics
Apr. 2019 - Sep. 2019
Niigata University
Research Themes
- 特殊線形群の作用を持つアフィン代数多様体の分類を利用した消去問題の研究
日本学術振興会, 科学研究費助成事業, 01 Apr. 2025 - 31 Mar. 2029
長峰 孝典 - Cancellation problems for affine algebraic varieties
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2021 - Mar. 2025
長峰 孝典 - 数学分野と暗号分野の連携ネットワーク
独立行政法人国立高等専門学校機構, 研究ネットワーク形成事業, Jul. 2023 - Mar. 2024
長峰 孝典; 磯部 遼太郎; 岡崎 勝男; 神代 真也; 金井 和貴; 品川 和雅; 宮本 賢伍 - Research on cancellation problems for higher dimensional affine varieties
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Sep. 2020 - Mar. 2022
Nagamine Takanori - 高次元アフィン空間における自己同型群の構造と自己同型性判定
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows, Apr. 2018 - Mar. 2020
長峰 孝典 - 多項式環上の微分作用素及び整閉多項式の理論を用いたアフィン空間の自己同型の研究
日本学術振興会, 若手研究者海外挑戦プログラム, Apr. 2018 - Mar. 2019
長峰 孝典
