Takanori Nagamine - My portal - researchmap

Profile Information

Affiliation: College of Science and Technology Department of Mathematics, Nihon University

Degree: 博士 (理学)(Mar, 2019, 新潟大学)

Researcher number: 10882516
J-GLOBAL ID: 202001002124016753
researchmap Member ID: R000002137

Research Interests

5

Research Areas

1

Natural sciences / Algebra /

Major Research History

6

Apr, 2024 - Present

College of Science and Technology Department of Mathematics, Nihon University
Apr, 2020 - Mar, 2024

Department of General Education, National Institute of Technology, Oyama College

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Education

3

Apr, 2016 - Mar, 2019

Specialized Course Fundamental Sciences, Graduate School of Science and Technology, Niigata University
Apr, 2014 - Mar, 2016

Specialized Course Fundamental Sciences, Graduate School of Science and Technology, Niigata University
Apr, 2010 - Mar, 2014

Department of Mathematics, Faculty of Science, Niigata University

Papers

7

Generalizations of Samuel's criteria for a ring to be a unique factorization domain

Daniel Daigle, Gene Freudenburg, Takanori Nagamine

Journal of Algebra, 594 271-306, Mar, 2022 Peer-reviewed
On Some Sufficient Conditions for Polynomials to Be Closed Polynomials over Domains

Takanori Nagamine

Springer Proceedings in Mathematics and Statistics, 319 223-231, 2020 Peer-reviewed
A note on retracts of polynomial rings in three variables

Takanori Nagamine

JOURNAL OF ALGEBRA, 534 339-343, Sep, 2019 Peer-reviewed
Closed polynomials and their applications for computations of kernels of monomial derivations

Chiaki Kitazawa, Hideo Kojima, Takanori Nagamine

JOURNAL OF ALGEBRA, 533 266-282, Sep, 2019 Peer-reviewed
On some properties of coordinates in polynomial rings

Takanori Nagamine

COMMUNICATIONS IN ALGEBRA, 46(10) 4265-4272, 2018 Peer-reviewed
Derivations having divergence zero and closed polynomials over domains

Takanori Nagamine

JOURNAL OF ALGEBRA, 462 67-76, Sep, 2016 Peer-reviewed
Closed polynomials in polynomial rings over integral domains

Hideo Kojima, Takanori Nagamine

JOURNAL OF PURE AND APPLIED ALGEBRA, 219(12) 5493-5499, Dec, 2015 Peer-reviewed

Misc.

5

Affine and Unirational unique factorial domains with unmixed gradings

Gene Freudenburg, Takanori Nagamine

Jul 12, 2023
Retracts of Laurent polynomial rings

Neena Gupta, Takanori Nagamine

Jan 30, 2023
Smooth factorial affine surfaces of logarithmic Kodaira dimension zero with trivial units

Gene Freudenburg, Hideo Kojima, Takanori Nagamine

Oct 9, 2019
Higher derivations of Jacobian type in positive characteristic

Takanori Nagamine

May 24, 2019
Factorial rational varieties which admit or fail to admit an elliptic $\mathbb{G}_m$-action

Gene Freudenburg, Takanori Nagamine

Dec 12, 2018

Major Presentations

52

Retracts of polynomial rings and Laurent polynomial rings

Takanori Nagamine

China-Japan Joint Meeting on Polynomial Ring Theory, Mar 31, 2024 Invited
Factorial varieties with a torus action of complexity one

Takanori Nagamine

The 22nd Affine Algebraic Geometry Meeting, Mar 1, 2024 Invited
Retracts of Laurent polynomial rings

Algebra Seminar, Sep 18, 2023 Invited
Factorial varieties with a torus action of complexity one

May 20, 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 1, 2022 Invited
Some criteria for a ring to be a unique factorization domain

特異点セミナー, Mar 21, 2022 Invited
Some criteria for a ring to be a unique factorization domain

The 20th affine algebraic geometry meeting, Mar 3, 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 4, 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 29, 2020 Invited
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 15, 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 2, 2019 Invited
Retracts of polynomial rings and the Abhyankar-Sathaye conjecture

長峰孝典

Algebra Seminar, Sep 11, 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 7, 2019 Invited
Factorial rational varieties which admit or fail to admit an elliptic G_m-action

The 17th affine algebraic geometry meeting, Mar 7, 2019 Invited
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 20, 2019 Invited
Non-standard embedding for automorphism groups of affine spaces

長峰孝典

新潟代数セミナー, Jan 25, 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 12, 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 21, 2018 Invited
Closed polynomials over domains of characteristic zero

長峰孝典

Polynomial Rings and Affine Algebraic Geometry 2018, Feb 15, 2018 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 20, 2017 Invited
On automorphisms and coordinates in polynomial rings

長峰孝典

10th Workshop on Galois point and related topics, Jul 16, 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 17, 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 27, 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 20, 2017 Invited
Derivations having divergence zero

第8回多項式環論セミナー, Aug 24, 2016 Invited
Derivations and closed polynomials over domains

The 14th affine algebraic geometry meeting, Mar 5, 2016 Invited
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 21, 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 11, 2015 Invited

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Major Teaching Experience

12

Apr, 2024 - Present

Introduction to Algebra A, Introduction to Algebra B (Nihon University)
Apr, 2024 - Present

Calculus A, Calculus B (Nihon University)

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Professional Memberships

1

日本数学会

Research Projects

5

Cancellation problems for affine algebraic varieties

Grants-in-Aid for Scientific Research, Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2025
数学分野と暗号分野の連携ネットワーク

研究ネットワーク形成事業, 独立行政法人国立高等専門学校機構, 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

Grants-in-Aid for Scientific Research, Grant-in-Aid for Research Activity Start-up, Japan Society for the Promotion of Science, 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

Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows, Grant-in-Aid for JSPS Fellows, Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2020
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

若手研究者海外挑戦プログラム, 日本学術振興会, Apr, 2018 - Mar, 2019

長峰孝典

Academic Activities

3

Commutative Algebra and Combinatorics Seminar

Planning, management, etc.

Apr 1, 2024 - Present
情報数理セミナー

Planning, management, etc.

Oct 23, 2021 - Present
小山工業高等専門学校数学セミナー

Planning, management, etc.

Apr 1, 2022 - Mar 31, 2024