Updated on 2024/03/29

写真a

 
KATO Shin
 
Organization
Graduate School of Science Department of Mathematics Associate Professor
School of Science Department of Mathematics
Title
Associate Professor
Affiliation
Institute of Science
Affiliation campus
Sugimoto Campus

Position

  • Graduate School of Science Department of Mathematics 

    Associate Professor  2022.04 - Now

  • School of Science Department of Mathematics 

    Associate Professor  2022.04 - Now

Degree

  • Doctor of Science ( Osaka University )

  • Master of Science ( Osaka University )

Research Areas

  • Natural Science / Geometry  / Geometry

Research Interests

  • Flux

  • Minimal Surface

  • Conformal Deformation

  • Scaler Curvature

Research Career

  • An Inverse Problem of the Flux Formula

    Minimal Surface, Flux  Joint Research in Japan

    1992.01 - Now 

  • Scaler Curvature Equation

    Scaler Curvature, Conformal Deformation  Individual

    1989.04 - Now 

Professional Memberships

  • THE MATHEMATICAL SOCIETY OF JAPAN

      Domestic

Job Career (off-campus)

  • 大阪大学   理学部   助手

    1994.04 - 1996.09

  • 奈良女子大学   理学部   助手

    1992.01 - 1994.03

Education

  • Osaka University   The second semester of doctoral program   Unfinished Course

    1990.04 - 1991.12

  • Osaka University   The first semester of doctoral program   Graduated/Completed

    1988.04 - 1990.03

  • Osaka University     Graduated/Completed

    1985.04 - 1988.03

  • Osaka University     Graduated/Completed

    1979.04 - 1983.03

Papers

  • Regularity of ends of zero mean curvature surfaces in R^{2,1} Reviewed

    ANDO Naoya, HAMADA Kohei, HASHIMOTO Kaname, KATO Shin

    Journal of the Mathematical Society of Japan   74 ( 4 )   1295 - 1334   2022.10

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Nonorientable minimal surfaces with catenoidal ends Reviewed

    HAMADA Kohei, KATO Shin

    Annali di Matematica Pura ed Applicata   200   1573 - 1603   2020.10

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Bicomplex extensions of zero mean curvature surfaces in R^{2,1} and R^{2,2} Reviewed

    HASHIMOTO Kaname, KATO Shin

    Journal of Geometry and Physics   138   223 - 240   2019.04

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Index, nullity and flux of n-noids Reviewed

    KATO Shin, TATEMICHI Kosuke

    Osaka Journal of Mathematics   53 ( 1 )   101 - 139   2016

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Minimal surfaces of genus one with catenoidal ends II Reviewed

    KATO Shin, MUROYA Hisayoshi

    Osaka Journal of Mathematics   52 ( 2 )   307 - 371   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Minimal surfaces of genus one with catenoidal ends Reviewed

    KATO Shin, MUROYA Hisayoshi

    Osaka Journal of Mathematics   49 ( 4 )   931 - 992   2012

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Flux of simple ends of maximal surfaces in R^{2,1} Reviewed

    IMAIZUMI Taishi, KATO Shin

    Hokkaido Mathematical Journal   37 ( 3 )   561 - 610   2008

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • On the weights of end-pairs in n-end catenoids of genus zero II Reviewed

    KATO Shin

    Kyushu Journal of Mathematics   61 ( 2 )   275 - 319   2007

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On the weights of end-pairs in n-end catenoids of genus zero Reviewed

    KATO Shin, NOMURA Kenji

    Osaka Journal of Mathematics   41 ( 3 )   507 - 532   2004

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • The scalar curvature equation on open Riemannian manifolds Invited Reviewed

    KATO Shin

    14 ( 2 )   219 - 236   2001

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • General existence of minimal surfaces of genus zero with catenoidal ends and prescribed flux Reviewed

    KATO Shin, UMEHARA Masaaki, YAMADA Kotaro

    Communications in Analysis and Geometry   8 ( 1 )   83 - 114   2000

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • The scalar curvature equation on open Riemannian manifolds Invited Reviewed

    KATO Shin

    Sugaku   51 ( 3 )   225 - 240   1999

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Nonexistence of subsolutions of a nonlinear elliptic equation on bounded domains in a Riemannian manifold Reviewed

    KATO Shin

    Hiroshima Mathematical Journal   28 ( 3 )   419 - 435   1998

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Uniqueness of solutions of an elliptic singular boundary value problem Reviewed

    KATO Shin

    Osaka Journal of Mathematics   35 ( 2 )   279 - 302   1998

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • An inverse problem of the flux formula Reviewed

    KATO Shin, UMEHARA Masaaki, YAMADA Kotaro

    Proceedings of the 4th International Congress of Geometry, Giachoudis-Giapoulis   228 - 233   1997

     More details

    Publishing type:Research paper (international conference proceedings)   Kind of work:Joint Work  

  • An inverse problem of the flux for minimal surfaces Reviewed

    KATO Shin, UMEHARA Masaaki, YAMADA Kotaro

    Indiana University Mathematics Journal   46 ( 2 )   529 - 559   1997

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • General existence of minimal surfaces with prescribed flux II Reviewed

    KATO Shin, UMEHARA Masaaki, YAMADA Kotaro

    Topics in complex analysis, differential geometry and mathematical physics, World Scientific Publication   116 - 135   1997

     More details

    Publishing type:Research paper (international conference proceedings)   Kind of work:Joint Work  

  • Structure theorems of the scalar curvature equation on subdomains of a compact Riemannian manifold Reviewed

    KATO Shin

    21 ( 1 )   153 - 168   1997

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Construction of n-end catenoids with prescribed flux Reviewed

    KATO Shin

    Kodai Mathematical Journal   18 ( 1 )   86 - 98   1995

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Maximal solutions of the scalar curvature equation on open Riemannian manifolds Reviewed

    KATO Shin

    Osaka Journal of Mathematics   31 ( 2 )   355 - 371   1994

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Examples of non-Einstein Yamabe metrics with positive scalar curvature Reviewed

    KATO Shin

    Tokyo Journal of Mathematics   17 ( 1 )   187 - 189   1994

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Conformal deformation to prescribed scalar curvature on complete noncompact Riemannian manifolds with nonpositive curvature Reviewed

    KATO Shin

    The Tohoku Mathematical Journal. Second Series   45 ( 2 )   205 - 230   1993

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Complete conformal metrics with prescribed scalar curvature on subdomains of a compact manifold Reviewed

    KATO Shin, NAYATANI Shin

    Nagoya Mathematical Journal   132   155 - 173   1993

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Symmetric solutions of the equation for the scalar curvature under conformal deformation of a Riemannian metric Reviewed

    KATO Shin

    Journal of the Mathematical Society of Japan   43 ( 4 )   733 - 750   1991

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

▼display all

MISC

  • 書評:極小曲面論入門 Invited

    加藤 信

    サイエンス社・数理科学   57 ( 10 )   70 - 70   2019.10

     More details

    Publishing type:Book review, literature introduction, etc.   Kind of work:Single Work  

Presentations

  • 時間的極小曲面のフラックス Domestic conference

    加藤 信

    名工大幾何学講演会 2024  2024.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:名古屋工業大学  

  • 分岐 n-noid の相対 weight Domestic conference

    加藤 信

    研究集会「 多様体上の微分方程式 」金沢シリーズ第20回(通算第25回)  2023.11 

     More details

    Presentation type:Oral presentation (general)  

    Venue:金沢大学サテライト・プラザ  

  • 分岐 n-noid の spin 構造と相対 weight (1)(2)(3)

    加藤 信

    名工大幾何学セミナー  2023.03 

     More details

    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:名古屋工業大学  

  • 平均曲率0曲面の双複素拡張と平面型endの正則性 Invited Domestic conference

    加藤 信

    第67回幾何学シンポジウム  2020.09 

     More details

    Presentation type:Oral presentation (general)  

  • 光的直線の彼方の特異点 Domestic conference

    加藤 信

    大阪市立大学微分幾何学セミナー  2020.07 

     More details

    Presentation type:Oral presentation (general)  

  • 光的直線の彼方の特異点 Domestic conference

    加藤 信

    淡路島幾何学研究集会2020  2020.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:南あわじ市阿那賀地区公民館  

  • 平均曲率零曲面の双複素拡張 Invited Domestic conference

    加藤 信

    講演会「多様体上の変分問題とその周辺領域」―変分問題で現れる曲面の幾何学―  2019.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:山口大学理学部  

  • R^{2,1} 内の Willmore 型曲面 Invited Domestic conference

    加藤 信

    2019名城幾何学研究集会「多様体上の種々の幾何構造の融合」  2019.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:名城大学理工学部  

  • R^{2,1} 内の平均曲率 0 曲面のコンパクト化の補足 Domestic conference

    加藤 信

    淡路島幾何学研究集会2019  2019.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:南あわじ市阿那賀地区公民館  

  • 平均曲率0曲面の双複素拡張 Invited Domestic conference

    加藤 信

    2018名城幾何学研究集会「種々の計量と幾何構造」  2018.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:名城大学理工学部  

  • 双複素極小はめ込みとその応用 Domestic conference

    加藤 信

    淡路島幾何学研究集会2018  2018.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:南あわじ市阿那賀地区公民館  

  • minimal immersions of bicomplex domains Invited Domestic conference

    加藤 信

    北九州幾何学研究集会2017  2017.07 

     More details

    Presentation type:Oral presentation (general)  

    Venue:九州工業大学戸畑キャンパス  

  • n-noid の裏返し Invited Domestic conference

    加藤 信

    2017名城幾何学研究集会「多様体上の計量と幾何構造」  2017.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:名城大学理工学部  

  • flux を保存する連続変形 Invited Domestic conference

    加藤 信

    第2回SAGセミナー  2017.02 

     More details

    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:佐賀大学理工学部  

  • n-noid の裏返し Domestic conference

    加藤 信

    淡路島幾何学研究集会2017  2017.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:国民宿舎慶野松原荘  

  • n-noid の空間と相対 weight Invited Domestic conference

    加藤 信

    東京理科大学理工学部数学科談話会  2016.07 

     More details

    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:東京理科大学理工学部  

  • catenoid 型の end を持つ向き付け不可能な極小曲面 Invited Domestic conference

    加藤 信

    2016名城幾何学研究集会「幾何構造の深化」  2016.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:名城大学理工学部  

  • 向き付け不可能な n-noid の相対 weight Domestic conference

    加藤 信

    淡路島幾何学研究集会2016  2016.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:国民宿舎慶野松原荘  

  • 向き付け不可能な n-noid Invited Domestic conference

    加藤 信

    筑波大学微分幾何学火曜セミナー  2015.12 

     More details

    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:筑波大学自然系学系棟  

  • n-noid の index, nullity と flux Invited Domestic conference

    加藤 信

    2015名城大学幾何学研究集会「幾何構造の融合と発展」  2015.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:名城大学理工学部  

  • 向き付け不可能な n-end catenoid は存在するか? Domestic conference

    加藤 信

    淡路島幾何学研究集会2015  2015.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:国民宿舎慶野松原荘  

  • Index, nullity and flux of n-noids Invited Domestic conference

    加藤 信

    幾何学阿蘇研究集会  2014.09 

     More details

    Presentation type:Oral presentation (general)  

    Venue:休暇村南阿蘇  

  • Willmore 曲面の gap theorem について Invited Domestic conference

    加藤 信

    研究会「多様体上の変分問題とその周辺領域」-Willmore曲面について-  2014.02 

     More details

    Presentation type:Oral presentation (general)  

    Venue:山口県健康づくりセンター  

  • Willmore 曲面に関連する flat -ended な極小曲面について Invited Domestic conference

    加藤 信

    研究会「多様体上の変分問題とその周辺領域」-Willmore曲面について-  2014.02 

     More details

    Presentation type:Oral presentation (general)  

    Venue:山口県健康づくりセンター  

  • 向き付け不可能な n-noid は存在するか? Domestic conference

    加藤 信

    淡路島幾何学研究集会2014  2014.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:国民宿舎慶野松原荘  

  • 平坦な端のみを持つ n-noid の空間の“連結性”とその効用 Domestic conference

    加藤 信

    若狭三方幾何学研究集会2013  2013.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:若狭町中央公民館  

  • 分岐 n-noid に相対 weight は定義できるか? Domestic conference

    加藤 信

    淡路島幾何学研究集会2012  2012.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:国民宿舎慶野松原荘  

  • n-noid の分岐条件 Domestic conference

    加藤 信

    淡路島幾何学研究集会2011  2011.02 

     More details

    Presentation type:Oral presentation (general)  

    Venue:国民宿舎慶野松原荘  

  • Survey on 極小曲面論における均衡条件 Invited Domestic conference

    加藤 信

    山口大学セミナー  2009.08 

     More details

    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:山口大学理学部  

  • n-end catenoid の flux Invited Domestic conference

    加藤 信

    Kunitachi One-Day Symposium on Differential Geometry  2008.07 

     More details

    Presentation type:Oral presentation (general)  

    Venue:一橋大学佐野書院  

▼display all

Charge of on-campus class subject

  • 位相数学1演習

    2024   Weekly class   Undergraduate

  • 位相数学1

    2024   Weekly class   Undergraduate

  • 数学特別研究2A

    2024   Intensive lecture   Graduate school

  • 数学特別研究1A

    2024   Intensive lecture   Graduate school

  • 数理構造論演習1

    2024   Intensive lecture   Graduate school

  • 幾何学特論A

    2024   Weekly class   Graduate school

  • 数学特別研究5A

    2024   Intensive lecture   Graduate school

  • 数学特別研究4A

    2024   Intensive lecture   Graduate school

  • 数学特別研究3A

    2024   Intensive lecture   Graduate school

  • 幾何学講義Ⅱ

    2024   Weekly class   Undergraduate

  • 数理科学B

    2023   Weekly class   Graduate school

  • 線形代数1

    2023   Weekly class   Undergraduate

  • 応用数学

    2023   Weekly class   Undergraduate

  • 曲線と曲面の幾何学

    2023   Weekly class   Undergraduate

  • 数学基礎演習2

    2023   Weekly class   Undergraduate

  • 線形代数1

    2022   Weekly class   Undergraduate

  • 幾何学特論C

    2022   Weekly class   Graduate school

  • 幾何学講義IV

    2022   Weekly class   Undergraduate

  • 曲線と曲面の幾何学

    2022   Weekly class   Undergraduate

  • 数学基礎演習2

    2022   Weekly class   Undergraduate

  • 幾何学特論III

    2021     Graduate school

  • 数理解析学2

    2021     Graduate school

  • 特別研究

    2021     Undergraduate

  • 幾何学講義III

    2021     Undergraduate

  • 曲線と曲面の幾何学

    2021     Undergraduate

  • 位相数学I演習

    2021     Undergraduate

  • 位相数学I

    2021     Undergraduate

  • 数理解析学4

    2020     Graduate school

  • 数理解析学演習

    2020     Graduate school

  • 数理解析学ゼミナール

    2020     Graduate school

  • 後期特別研究

    2020     Graduate school

  • 解析II

    2020     Undergraduate

  • 解析I

    2020     Undergraduate

  • 線形代数I

    2020     Undergraduate

  • 曲線と曲面の幾何学

    2020     Undergraduate

  • 数理科学B

    2019     Graduate school

  • 後期特別研究

    2019     Graduate school

  • 数理解析学ゼミナール

    2019     Graduate school

  • 数理解析学演習

    2019     Graduate school

  • 数理解析学4

    2019     Graduate school

  • 数学要論A

    2019     Undergraduate

  • 曲線と曲面の幾何学

    2019     Undergraduate

  • 後期特別研究

    2018     Graduate school

  • 数理解析学ゼミナール

    2018     Graduate school

  • 数理解析学演習

    2018     Graduate school

  • 数理解析学4

    2018     Graduate school

  • 数学要論A

    2018     Undergraduate

  • 曲線と曲面の幾何学

    2018     Undergraduate

  • 解析IV

    2018     Undergraduate

  • 後期特別研究

    2017     Graduate school

  • 数理解析学ゼミナール

    2017     Graduate school

  • 数理解析学演習

    2017     Graduate school

  • 数理解析学4

    2017     Graduate school

  • 数学要論A

    2017     Undergraduate

  • 曲線と曲面の幾何学

    2017     Undergraduate

  • 解析II

    2017     Undergraduate

  • 数理解析学演習

    2016     Graduate school

  • 数理解析学4

    2016     Graduate school

  • 曲線と曲面の幾何学

    2016     Undergraduate

  • 解析IV

    2016     Undergraduate

  • 解析II

    2016     Undergraduate

  • 解析I

    2016     Undergraduate

  • 数理解析学演習

    2015     Graduate school

  • 数理解析学4

    2015     Graduate school

  • 曲線と曲面の幾何学

    2015     Undergraduate

  • 基礎数学A

    2015     Undergraduate

  • 解析II

    2015     Undergraduate

  • 解析I

    2015     Undergraduate

  • 微分幾何学I演習

    2014     Undergraduate

  • 前期特別研究

    2014     Graduate school

  • 数理解析学ゼミナール

    2014     Graduate school

  • 数理解析学演習

    2014     Graduate school

  • 数理解析学4

    2014     Graduate school

  • 微分幾何学II

    2014     Undergraduate

  • 微分幾何学I

    2014     Undergraduate

  • 線形代数II

    2014     Undergraduate

  • 数理解析学ゼミナール

    2013     Graduate school

  • 前期特別研究

    2013     Graduate school

  • 微分幾何学I演習

    2013     Undergraduate

  • 線形代数II

    2013     Undergraduate

  • 微分幾何学II

    2013     Undergraduate

  • 微分幾何学I

    2013     Undergraduate

  • 微分幾何学I演習

    2012     Undergraduate

  • 微分幾何学II

    2012     Undergraduate

  • 微分幾何学I

    2012     Undergraduate

  • 線形代数I

    2012     Undergraduate

  • 解析IV

    2012     Undergraduate

  • 微分幾何学I演習

    2011     Undergraduate

  • 微分幾何学II

    2011     Undergraduate

  • 微分幾何学I

    2011     Undergraduate

  • 線形代数II

    2011     Undergraduate

▼display all