Associate Professor Kawakami Yu
Faculty, Affiliation
Faculty of Mathematics and Physics, Institute of Science and Engineering Faculty of Mathematics and Physics
College and School Educational Field
Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
School of Mathematics and Physics, College of Science and Engineering
Laboratory
Graduate School of Natural Science and Technology
Academic Background
【Academic background(Doctoral/Master's Degree)】
Nagoya University Doctor Graduate School of Mathematics 200611 Completed
【Degree】
Doctor of Mathematical Sciences
Career
Nagoya University Instructor(2008/04/01-2008/09/30)
Kyushu University GCOE Researcher(2008/10/01-2009/11/15)
Kyushu University Assistant Professor(2009/11/16-2011/03/31)
Yamaguchi University Associate Professor(2011/04/01-2014/03/31)
Kanazawa University Associate Professor(2014/04/01-)
Year & Month of Birth
1979/10
Academic Society
THE MATHEMATICAL SOCIETY OF JAPAN
Award
Specialities
Geometry
Speciality Keywords
Geometric analysis,Minimal Surface,Gauss Map,Value Distribution Theory,Differential Geometry,Complex Analysis
Research Themes
Value-distribution-theoretic properties for Gauss maps of various classes of surfaces
Our aim of this study is to elucidate global behavior of Gauss maps of immersed surfaces in space-forms, for example, minimal surfaces and constant mean curvature (CMC, for short) surfaces in Euclidean space, flat surfaces in hyperbolic three-space.
Studies on Bernstein-type theorems for immersed surfaces
We plan to obtain Bernstein type theorems and Weierstrass type representations for immersed surfaces.
Books
- Masaaki Umehara (notes taken by Yu Kawakami) Surfaces of constant mean curvature one in hyperbolic 3-space NAGOYA MATHEMATICAL LECTURES Vol.9 2009/07
Papers
- The Gauss Images of Complete Minimal Surfaces of Genus Zero of Finite Total Curvature Yu Kawakami, Mototsugu Watanabe The Journal of Geometric Analysis 34 2024/06/25
- On the maximal number of exceptional values of Gauss maps for various classes of surfaces Yu Kawakami MATHEMATISCHE ZEITSCHRIFT 274 3-4 1249-1260 2013/08
- Value distribution for the Gauss maps of various classes of surfaces Yu Kawakami Sugaku Expositions 33 2 223 - 237 2020
- Heinz-type mean curvature estimates in Lorentz-Minkowski space A. Honda, Y. Kawakami, M. Koiso, S. Tori Revista Matematica Complutense 34 3 641-651 2021
- Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space R. Aiyama, K. Akutagawa, S. Imagawa, Y. Kawakami Annali di Matematica Pura ed Applicata 196 5 1863-1875 2017
- Function-theoretic properties for the Gauss maps for various classes of surfaces Yu Kawakami Canadian Journal of Mathematics 67 6 1411-1434 2015/12/01
- Surfaces with concentric or parallel K-contours Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu Journal of Geometry 115 20 2024/05/05
- A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space Pham Hoang Ha, Yu Kawakami Canadian Mathematical Bulletin 61 2 292-300 2018
- Value distribution of the Gauss map of improper affine spheres Yu Kawakami, Daisuke Nakajo JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 2012 3 799-821 2012/07
- The Gauss map of pseudo-algebraic minimal surfaces Yu Kawakami, Ryoichi Kobayashi, Reiko Miyaoka FORUM MATHEMATICUM 20 6 1055-1069 2006/01
- Entire zero mean curvature graphs of mixed type in Lorentz-Minkowski 3-space S.Fujimori, Y.Kawakami, M.Kokubu, W,Rossman, M.Umehara, K,Yamada Quarterly Journal of Mathematics 67 4 801-837 2016
- Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space S. Fujimori, Y. Kawakami, M. Kokubu, W. Rossman, M. Umehara, K. Yamada, S.-D. Yang Differential Geometry and its Applications 84 101924 2022/10/01
- A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space Yu Kawakami GEOMETRIAE DEDICATA 171 1 387-396 2014/08
- Hyperbolic metrics on Riemann surfaces and spacelike CMC-1 surfaces in de Sitter 3-space S.Fujimori, Y.Kawakami. M.Kokubu, W.Rossman, M.Umehara. K.Yamada Springer Proceedings in Mathematics and Statistics 26 1-48 2013/12
- Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space S.Fujimori, Y.Kawakami, M.Kokubu, W.Rossman, M.Umehara, and K.Yamada Osaka Journal of Mathematics 54 2 249-272 2017
- CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere S.Fujimori, Y.Kawakami, M.Kokubu, W.Rossman, M.Umehara, K.Yamada PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 87 8 144-149 2011/10
- Ramification estimates for the hyperbolic Gauss map Yu Kawakami OSAKA JOURNAL OF MATHEMATICS 46 4 1059-1076 2009/12
- Value distribution of the hyperbolic Gauss maps for flat fronts in hyperbolic three-space Yu Kawakami HOUSTON JOURNAL OF MATHEMATICS 38 1 115-130 2012/01
- The Gauss map of pseudo-algebraic minimal surfaces in R4 Yu Kawakami MATHEMATISCHE NACHRICHTEN 282 2 211-218 2009/02
- Recent progress of the value distribution of the hyperbolic Gauss map Yu Kawakami Proceedings of the 16th Osaka City University International Academic Symposium 2008 3 163-169 2010/07
- On the totally ramified value number of the Gauss map of minimal surfaces Yu Kawakami PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 82 1 1-3 2006/01
- Value distribution for the Gauss maps of various classes of surfaces Yu Kawakami Sugaku 69 1 56-69 2017
Conference Presentations
- Value Distribution Theory for Gauss Maps of Several Classes of Surfaces(conference：The 2nd International Conference on Geometry of Submanifolds and Integrable Systems)(2019/03/25)
- A geometric interpretation of value-distribution-theoretic properties for the Gauss map of complete minimal surfaces(2016/09/15)
- Further progress in value distribution theory of the Gauss map of minimal surfaces(conference：Geometry of submanifolds and their discretizations)(2024/06/26)
- Recent advances in value distribution of the Gauss map of complete minimal surfaces(conference：Workshop on Differential Geometry and Geometric Analysis)(2022/03/22)
- Function-theoretic properties for the Gauss maps of various classes of surfaces(conference：The 2nd Japanese-Spanish workshop on Differential Geometry)(2014/02/11)
- On the Gauss images for various classes of surfaces(conference：Japan-Austria Joint Workshop ``Transformations and Singularities'')(2016/02/20)
- Global properties for the Gauss images of various classes of surfaces(conference：The 3rd Japan-China Geometry Conference)(2017/09/04)
Others
Arts and Fieldwork
Patent
Theme to the desired joint research
○Visualization of surfaces
Grant-in-Aid for Scientific Research
○「ガウス写像の値分布を起点とする曲面の微分幾何学的研究の展開」(2023-2026)
○「ガウス写像の値分布と曲面の大域的性質への応用」(2019-2022)
○「ガウス写像の値分布論の進展とそれに基づく曲面の大域的性質の研究」(2015-2018)
○「ガウス写像の性質に基づく曲面の大域的性質の研究」(2012-2014)
○「ガウス写像の視点からの曲面の大域的性質に関する研究」(2009-2011)
Competitive research funding,Contribution
Collaborative research,Consignment study
Classes (Bachelors)
○Introduction to Region-studies(2021)
○Differential and Integral Calculus 2(2021)
○Differential and Integral Calculus 2A(2021)
○Differential and Integral Calculus 2B(2021)
○Basic Exercise in Mathematics and Physics A(2021)
○Geometry 1B(2021)
○Geometry 1A(2021)
○Basic Exercise in Mathematics and Physics B(2021)
○Methods of Teaching Mathematics at Secondary School C(2020)
○Geometry 1A(2020)
○Geometry 1B(2020)
○Selected Topics(2020)
○Linear Spaces B(2019)
○Linear Spaces A(2019)
○Geometry 3(2019)
○Exercise in Mathematics and Physics A(2018)
○Geometry 1A(2018)
○Exercise in Mathematics and Physics B(2018)
○Geometry 1B(2018)
○Fundamental Concepts of Mathematics A(2017)
○Exercise in Mathematics and Physics A(2017)
○Exercise in Mathematics and Physics B(2017)
○Fundamental Concepts of Mathematics B(2017)
○Fundamental Concepts of Mathematics A(2017)
○Fundamental Concepts of Mathematics B(2017)
○Exercise in Mathematics and Physics B(2017)
○Fundamental Concepts of Mathematics A(2017)
○Exercise in Mathematics and Physics A(2017)
○Seminar in Mathematics(2017)
○Fundamental Concepts of Mathematics B(2017)
○Freshman Seminar I(2016)
○Presentation and Debate (Freshman Seminar II)(2016)
○Fundamental Concepts of Mathematics A(2016)
○Fundamental Concepts of Mathematics B(2016)
○Exercise in Mathematics and Physics A(2016)
○Exercise in Mathematics and Physics B(2016)
○Differential and Integral Calculus 2(2016)
○Seminar in Mathematics(2016)
○Geometry 2A&2B(2014)
○Seminar in Foundations of Mathematics(2014)
○Introduction to Current Mathematics(2014)
○Differential and Integral Calculus 2(2014)
Classes (Graduate Schools)
○Scientific Presentation A(2021)
○Geometric Analysis(2020)
○Scientific Presentation A(2020)
○Special Lectures on Mathematics(2020)
○Mathematics Education a(2020)
○Mathematics Education b(2020)
○Scientific Presentation A(2019)
○Complex Geometry(2019)
○Research Work A(2018)
○Seminar A(2018)
○Geometry Ia(2018)
○Geometry Ib(2018)
○Exercise A(2018)
○Complex Geometry(2017)
○Special Lecture on Mathematics(2017)
○Special Lecture on Mathematics(2017)
○Special Lecture on Mathematics(2017)
○Special Lecture on Mathematics(2017)
○Research Work A(2017)
○Seminar A(2017)
○Exercise A(2017)
○Exercise A(2017)
○Seminar A(2017)
○Complex Geometry(2017)
○Research Work A(2017)
○Complex Geometry(2017)
○Complex Geometry(2017)
○Special Lecture on Mathematics(2016)
○Seminar A(2016)
○Exercise A(2016)
○Exercise A(2016)
○Complex Geometry(2016)
○Research Work A(2016)
○Seminar A(2016)
○Research Work A(2016)
○Geometry 2(2014)