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研究者業績

Researcher List >> Katsuhiro Moriya
 

Katsuhiro Moriya

 
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NameKatsuhiro Moriya
URL
AffiliationUniversity of Hyogo
SectionGraduate School of Science
Job titleProfessor
DegreeDoctor of Science(Tokyo Metropolitan University)
ORCID ID0000-0001-8061-5264
J-Global ID200901060625012121

Research Interests

 
differential geometry ,conformal map ,harmonic map ,surface ,minimal surface ,submanifold ,quaternionic holomorphic geometry ,Integrable system ,connection ,tt*-bundle ,vector bundle ,quaternionic complex differential geometry

Research Areas

 
  • Natural sciences / Geometry / Differential geometry of immersions

Research History

 
Apr 2021
 - 
Today
University of Hyogo Graduate School of Science Professor 
 
Apr 2019
 - 
Mar 2021
University of Hyogo Depatment of Material Sciences, Graduate School of Material Sciences Professor 
 
Oct 1999
 - 
Mar 2004
University of Tsukuba Institute of Mathematics Research Associate of Institute of Mathematicw 
 

Committee Memberships

 
Apr 2020
 - 
Mar 2021
Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research FY2021 Committee on Grants-in-Aid for Scientific Research Challenging Research (Pioneering/ Exploratory) 11th Subcommittee reviewer
 
Apr 2019
 - 
Mar 2020
Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research FY2020 Committee on Grants-in-Aid for Scientific Research Challenging Research (Pioneering/ Exploratory) 11th Subcommittee reviewer
 
Aug 2013
 - 
Jul 2015
日本学術振興会  特別研究員等審査会専門委員及び国際事業委員会書面審査員
 
2006
 - 
2006
日本数学会  岩波数学辞典第四版編集
 

Papers

12345>
 
 
Polar varieties and bipolar surfaces of minimal surfaces in the n-sphere
Katsuhiro Moriya   
Annals of Global Analysis and Geometry   61(1) 21-36   Feb 2022   [Refereed]
For a given minimal surface in the n-sphere, two ways to construct a minimal surface in the m-sphere are given. One way constructs a minimal immersion. The other way constructs a minimal immersion which may have branch points. The branch points oc...
 
The μ -Darboux transformation of minimal surfaces
K. Leschke   K. Moriya   
Manuscripta Mathematica   162(3-4) 537-558   Jul 2020   [Refereed]
© 2019, The Author(s). The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a transformation for conformal immersions. Since a minimal surface is Willmore, we can use the associated C∗-family of flat conn...
 
The spinor representation of conformal mappings of surfaces
Katsuhiro   Moriya   
RIMS Kokyuroku   2152 16-19   Apr 2020   [Invited]
 
Simple factor dressing and the López–Ros deformation of minimal surfaces in Euclidean 3-space
K. Leschke   K. Moriya   
Mathematische Zeitschrift   291(3-4) 1015-1058   Apr 2019   [Refereed]
© 2018, The Author(s). The aim of this paper is to investigate a new link between integrable systems and minimal surface theory. The dressing operation uses the associated family of flat connections of a harmonic map to construct new harmonic maps...
 
The schwarz lemma for super-conformal maps
Katsuhiro Moriya   
Springer Proceedings in Mathematics and Statistics   203 59-68   Sep 2017   [Refereed]
© Springer Nature Singapore Pte Ltd. 2017. A super-conformal map is a conformal map from a two-dimensional Riemannian manifold to the Euclidean four-space such that the ellipse of curvature is a circle. Quaternionic holomorphic geometry connects s...

Books and Other Publications

 
 
Katsuhiro Moriya(Part:Sole author)
Institute of Mathematics, University of Tsukuba   2007      
 
Katsuhiro Moriya(Part:Sole author)
Institute of Mathematics, University of Tsukuba   2006      
 
Katsuhiro Moriya(Part:Sole author)
Institute of Mathematics, University of Tsukuba   2003      
 
Katsuhiro Moriya(Part:Sole translator)
Translations of Mathematical Monographs American Mathematical Society   Jan 2003      
 
Katsuhiro Moriya(Part:Sole author)
Institute of Mathematics, University of Tsukuba   2002      

Presentations

 
 
Katsuhiro Moriya   
The 3rd Shot of The 13th MSJ-SI "Differential Geometry and Integrable Systems"   4 Mar 2023   Yoshihiro Ohnita (OCAMI Osaka Metropolitan University), Franz Pedit (UMass Amherst), Martin Guest (Waseda University) Toru Kajigaya (Tokyo University of Science) Wayne Rossman (Kobe University) Masa-Hiko Saito (Kobe Gakuin University) Takashi Sakai (chair, Tokyo Metropolitan University) Masashi Yasumoto (secretary, Tokushima University)   [Invited]
 
Katsuhiro Moriya   
MSJ Autumn Meeting 2021   16 Sep 2021   
 
Katsuhiro Moriya   
Aspects of submanifolds and other related fields   25 Jun 2018   Satoshi Kawakubo   [Invited]
 
Katsuhiro Moriya   
The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds   29 Jul 2016   Young Jin Suh, Yoshihiro Ohnita, Jiazu Zhou, Byung Hak Kim   [Invited]
A super-conformal map from a Riemann surface to the Euclidean four-space is a surface with circular ellipse of curvature with respect to the induced metric. This map has properties similar to the holomorphic function on a Riemann surface. In this ...
 
Katsuhiro Moriya   
MSJ Spring Meeting 2016 at University of Tsukuba   16 Mar 2016   The Mathematical Society of Japan   
We factorize a super-conformal map. This factorization connects a super-conformal map with a holomorphic map. Then we obtain the Schwarz–Pick theorem for super-conformal maps. Then we define a distance on the image of a super-conformal map.

Teaching Experience

 
Apr 2022
 - 
Mar 2023
graduation research (University of Hyogo)
Oct 2022
 - 
Feb 2023
Probability and Statistics (University of Hyogo)
Apr 2022
 - 
Aug 2022
フォトンサイエンス特論 (兵庫県立大学)
Apr 2022
 - 
Aug 2022
Algebra I (University of Hyogo)
Oct 2021
 - 
Feb 2022
analysis II (University of Hyogo)

Professional Memberships

 
Jan 2012
 - 
Today
European Mathematical Society
Jun 1999
 - 
Today
The Mathematical Society of Japan

Research Projects

 
 
Pluriharmonic maps into a compact symmetric space and integrable systems
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
Project Year: Apr 2022 - Mar 2027
 
The representation formulas for a surface of higher codimension and a submanifold and their application
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Moriya Katsuhiro 
Project Year: Apr 2017 - Mar 2022
 
The representation formula for surfaces of higher codimension and submanifolds and its applications
Japan Society of for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Katsuhiro Moriya 
Project Year: Apr 2017 - Mar 2021
 
Minimal surfaces: integrable systems and visualisation
The Leverhulme Trust: International Networks
Katrin Leschke 
Project Year: Sep 2016 - Aug 2018
 
Property of super-conformal maps inherited from holomorphic maps and its application
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
MORIYA Katsuhiro LESCHKE Katrin 
Project Year: Apr 2013 - Mar 2017

Other

 
 
Jan 2018 - Jan 2018
 
 
Mar 2017 - Mar 2017
A member of the organising committee of m:iv spring 2017 workshop at University College Cork in Ireland.
http://www2.le.ac.uk/projects/miv/workshop-programme/spring-2017-workshop
 
 
Sep 2016 - Sep 2016
 
 
Apr 2013 - Apr 2013
四元数複素微分幾何学リサーチグループ代表
https://sites.google.com/site/qcdgrg/
 
 
Apr 2013 - Apr 2013
 
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