Researcher Information
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年04月01日-2008年09月30日)
Kyushu University GCOE Researcher(2008年10月01日-2009年11月15日)
Kyushu University Assistant Professor(2009年11月16日-2011年03月31日)
Yamaguchi University Associate Professor(2011年04月01日-2014年03月31日)
Kanazawa University Associate Professor(2014年04月01日-)
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年06月25日
- Bloch–Ros Principle and its Application to Surface Theory Shunsuke Kasao, Yu Kawakami Bulletin of the Malaysian Mathematical Sciences Society 48 127 36 2025年06月23日
- 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年12月01日
- Surfaces with concentric or parallel K-contours Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu Journal of Geometry 115 20 2024年05月05日
- 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年10月01日
- 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
- Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space S. Fujimori, Y. Kawakami, M. Kokubu, W. Rossman, M, Umehara, K. Yamada Mathematical Journal of Okayama University 62 179-195 2020
Conference Presentations
- Further progress in value distribution theory of the Gauss map of minimal surfaces(conference:Geometry of submanifolds and their discretizations)(2024年06月26日)
- Value Distribution Theory for Gauss Maps of Several Classes of Surfaces(conference:The 2nd International Conference on Geometry of Submanifolds and Integrable Systems)(2019年03月25日)
- A geometric interpretation of value-distribution-theoretic properties for the Gauss map of complete minimal surfaces(2016年09月15日)
- Further progress in value distribution theory of the Gauss map of minimal surfaces(conference:Geometry of submanifolds and their discretizations)(2024年06月26日)
- Recent advances in value distribution of the Gauss map of complete minimal surfaces(conference:Workshop on Differential Geometry and Geometric Analysis)(2022年03月22日)
- Function-theoretic properties for the Gauss maps of various classes of surfaces(conference:The 2nd Japanese-Spanish workshop on Differential Geometry)(2014年02月11日)
- On the Gauss images for various classes of surfaces(conference:Japan-Austria Joint Workshop ``Transformations and Singularities'')(2016年02月20日)
- Global properties for the Gauss images of various classes of surfaces(conference:The 3rd Japan-China Geometry Conference)(2017年09月04日)
Others
Arts and Fieldwork
Patent
Theme to the desired joint research
○しろまるVisualization of surfaces
○しろまるGeometric shape generation
○しろまるEducation of Mathematics
Grant-in-Aid for Scientific Research
○しろまる「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)
○しろまる「ガウス写像の値分布と曲面の大域的性質への応用」(2019-2022)
○しろまる「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)
○しろまる「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)
○しろまる「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)
○しろまるPractical Seminar for Teaching Profession C / Junior High School・High School(2024)
○しろまるSeminar in Mathematics(2024)
○しろまるFundamental Concepts of Mathematics A(2024)
○しろまるFundamental Concepts of Mathematics B(2024)
○しろまるGeometry 1A(2024)
○しろまるGeometry 1B(2024)
○しろまるSeminar in Mathematics(2023)
○しろまるPractical Seminar for Teaching Profession C / Junior High School・High School(2023)
○しろまるFundamental Concepts of Mathematics A(2023)
○しろまるFundamental Concepts of Mathematics B(2023)
○しろまるGeometry 1A(2023)
○しろまるGeometry 1B(2023)
○しろまるSeminar in Mathematics(2022)
○しろまるFundamental Concepts of Mathematics A(2022)
○しろまるFundamental Concepts of Mathematics B(2022)
○しろまるAdvanced Calculus 3A(2022)
○しろまるGeometry 1A(2022)
○しろまるGeometry 1B(2022)
○しろまるLecture on Life in Campus and Society(2022)
○しろまるDifferential and Integral Calculus 2A(2021)
○しろまるDifferential and Integral Calculus 2B(2021)
○しろまるDifferential and Integral Calculus 2(2021)
○しろまるIntroduction to Region-studies(2021)
○しろまるBasic Exercise in Mathematics and Physics A(2021)
○しろまるBasic Exercise in Mathematics and Physics B(2021)
○しろまるGeometry 1A(2021)
○しろまるGeometry 1B(2021)
○しろまるGeometry 1A(2020)
○しろまるGeometry 1B(2020)
○しろまるSelected Topics(2020)
○しろまるMethods of Teaching Mathematics at Secondary School C(2020)
○しろまるLinear Spaces A(2019)
○しろまるLinear Spaces B(2019)
○しろまるGeometry 3(2019)
○しろまるGeometry 1A(2018)
○しろまるExercise in Mathematics and Physics A(2018)
○しろまるGeometry 1B(2018)
○しろまるExercise in Mathematics and Physics B(2018)
○しろまるExercise in Mathematics and Physics A(2017)
○しろまるFundamental Concepts of Mathematics B(2017)
○しろまるExercise in Mathematics and Physics A(2017)
○しろまるFundamental Concepts of Mathematics B(2017)
○しろまるExercise in Mathematics and Physics B(2017)
○しろまるFundamental Concepts of Mathematics A(2017)
○しろまるSeminar in Mathematics(2017)
○しろまるFundamental Concepts of Mathematics A(2017)
○しろまるExercise in Mathematics and Physics B(2017)
○しろまるFundamental Concepts of Mathematics B(2017)
○しろまるFundamental Concepts of Mathematics A(2017)
○しろまるFundamental Concepts of Mathematics A(2016)
○しろまるFundamental Concepts of Mathematics B(2016)
○しろまるExercise in Mathematics and Physics A(2016)
○しろまるDifferential and Integral Calculus 2(2016)
○しろまるSeminar in Mathematics(2016)
○しろまるExercise in Mathematics and Physics B(2016)
○しろまるFreshman Seminar I(2016)
○しろまるPresentation and Debate (Freshman Seminar II)(2016)
○しろまるGeometry 2A&2B(2014)
○しろまるSeminar in Foundations of Mathematics(2014)
○しろまるIntroduction to Current Mathematics(2014)
○しろまるDifferential and Integral Calculus 2(2014)
Classes (Graduate Schools)
○しろまるScientific Presentation A(2021)
○しろまるGeometric Analysis(2020)
○しろまるScientific Presentation A(2020)
○しろまるSpecial Lectures on Mathematics(2020)
○しろまるMathematics Education a(2020)
○しろまるMathematics Education b(2020)
○しろまるScientific Presentation A(2019)
○しろまるComplex Geometry(2019)
○しろまるResearch Work A(2018)
○しろまるSeminar A(2018)
○しろまるGeometry Ia(2018)
○しろまるGeometry Ib(2018)
○しろまるExercise A(2018)
○しろまるComplex Geometry(2017)
○しろまるSpecial Lecture on Mathematics(2017)
○しろまるSpecial Lecture on Mathematics(2017)
○しろまるSpecial Lecture on Mathematics(2017)
○しろまるSpecial Lecture on Mathematics(2017)
○しろまるResearch Work A(2017)
○しろまるSeminar A(2017)
○しろまるExercise A(2017)
○しろまるExercise A(2017)
○しろまるSeminar A(2017)
○しろまるComplex Geometry(2017)
○しろまるResearch Work A(2017)
○しろまるComplex Geometry(2017)
○しろまるComplex Geometry(2017)
○しろまるSpecial Lecture on Mathematics(2016)
○しろまるSeminar A(2016)
○しろまるExercise A(2016)
○しろまるExercise A(2016)
○しろまるComplex Geometry(2016)
○しろまるResearch Work A(2016)
○しろまるSeminar A(2016)
○しろまるResearch Work A(2016)
○しろまるGeometry 2(2014)