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Researcher Information

last modified:2017/06/10

Associate Professor KAWAKAMI, Yu

Mail

Faculty, Affiliation

Faculty of Mathematics and Physics, Institute of Science and Engineering

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 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

Differential geometry, Complex geometry, Complex analysis, Surface theory, Value distribution theory

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 map of pseudo-algebraic minimal surfaces Yu Kawakami, Ryoichi Kobayashi, Reiko Miyaoka FORUM MATHEMATICUM 20 6 1055-1069 2006/01
  •  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
  •  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
  •  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
  •  Value distribution for the Gauss maps of various classes of surfaces Yu Kawakami Sugaku 69 1 56-69 2017

show all

  •  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
  •  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
  •  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
  •  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
  •  Ramification estimates for the hyperbolic Gauss map Yu Kawakami OSAKA JOURNAL OF MATHEMATICS 46 4 1059-1076 2009/12
  •  The Gauss map of pseudo-algebraic minimal surfaces in R4 Yu Kawakami MATHEMATISCHE NACHRICHTEN 282 2 211-218 2009/02
  •  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

Conference Presentations

  • 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)
  • A geometric interpretation of value-distribution-theoretic properties for the Gauss map of complete minimal surfaces(2016/09/15)

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) 

Classes (Bachelors)

○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)
○Seminar in Mathematics(2017)
○Fundamental Concepts of Mathematics A(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)

○Research Work A(2017)
○Research Work A(2017)
○Seminar A(2017)
○Exercise A(2017)
○Exercise A(2017)
○Seminar A(2017)
○Complex Geometry(2017)
○Complex Geometry(2017)
○Complex Geometry(2017)
○Complex Geometry(2017)
○Special Lecture on Mathematics(2017)
○Special Lecture on Mathematics(2017)
○Special Lecture on Mathematics(2017)
○Special Lecture on Mathematics(2017)
○Special Lecture on Mathematics(2016)
○Seminar A(2016)
○Complex Geometry(2016)
○Research Work A(2016)
○Exercise A(2016)
○Seminar A(2016)
○Exercise A(2016)
○Research Work A(2016)
○Geometry 2(2014)

International Project

International Students

Lecture themes

Others (Social Activities)

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