Moriya Katsuhiro

J-GLOBAL         Last updated: Apr 11, 2019 at 20:22
 
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Name
Moriya Katsuhiro
URL
https://www.mendeley.com/profiles/katsuhiro-moriya/
Affiliation
University of Hyogo
Job title
Assistant Professor
Degree
Doctor of Science(Tokyo Metropolitan University)
ORCID ID
0000-0001-8061-5264

Research Areas

 
 

Academic & Professional Experience

 
Oct 1999
 - 
Mar 2004
Research Associate of Institute of Mathematicw, University of Tsukuba
 
Jul 2003
 - 
Jul 2004
Visiting researcher, University of Massachusetts at Amherst
 
Apr 2004
 - 
Mar 2007
Research Associate, Graduate School of Pure and Applied Science, University of Tsukuba
 
Apr 2007
 - 
Sep 2011
Assistant Professor, Graduate School of Pure and Applied Sciences, University of Tsukuba
 
Oct 2011
   
 
Assistant Professor, Faculty of Pure and Applied Sciences, University of Tsukuba
 

Published Papers

 
Moriya,Katsuhiro
Mathematische Zeitschrift      Dec 2018   [Refereed]
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. Since a minimal surfa...
Simple factor dressing and the Lopez-Ros deformation of minimal surfaces in Euclidean 3-space
Moriya,Katsuhiro;Leschke,,Katrin
arXiv.org   1409.5286    Sep 2014
The aim of this paper is to give 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. Since a minimal surface in 3...
Moriya,Katsuhiro
Hermitian-Grassmannian submanifolds, Springer Proc. Math. Stat.   203 59-68   Sep 2017   [Refereed]
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 super-conformal maps with holomorphic maps. ...
Description of a mean curvature sphere of a surface by quaternionic holomorphic geometry (Submanifolds and Quaternion structure 2012/06/25-27)
Moriya,Katsuhiro
RIMS Kokyuroku   1817(0) 1-5   Nov 2012
Hasegawa, Kazuyuki;Moriya, Katsuhiro
ADVANCES IN APPLIED CLIFFORD ALGEBRAS   27(2) 1243-1262   Jun 2017   [Refereed]
A conformal map from a Riemann surface to the Euclidean four-space is explained in terms of its twistor lift. A local factorization of a differential of a conformal map is obtained. As an application, the factorization of a differential provides a...

Books etc

 
Surfaces of constant mean curvature
Katsuei, Kenmotsu Translated by Katsuhiro Moriya Revised by the author (Part:Single Translation)
Translations of Mathematical Monographs American Mathematical Society   Jan 2003   

Conference Activities & Talks

 
The Schwarz lemma for conformal maps from the open unit disk into the Euclidean four-space [Invited]
Moriya,Katsuhiro
Geometry of Submanifolds and Integrable Systems   26 Mar 2018   Yoshihiro Ohnita, Martin Guest, Young Jin Suh, Masaaki Umehara, Wayne Rossman, Takashi Sakai, Masashi Yasumoto
The Schwarz lemma is an inequality about the norms of holomorphic functions on the open unit disk. We give a similar inequality about the norms of conformal maps from the open unit disk into the Euclidean four-space
Complex structures of vector bundles and harmonic maps into a sphere [Invited]
守屋,克洋
Submanifolds at Yuzawa 2017   30 Nov 2017   間下克哉、田崎博之、入江博、酒井高司
四元数的正則幾何においてリーマン面から S2 への調和写像に対してスペクトル曲線を定義している. これをどのようにより一般の場合に拡張できるか考える. 結論 を言うとスペクトル曲線はうまく定義できないが, その前の平坦接続の族を 構成することろまではある程度可能である.
The Weierstrass representation for surfaces in Euclidean space of arbitrary dimension
Moriya,Katsuhiro
2016 Mathematical Society of Japan, Autumn meeting   15 Sep 2016   日本数学会
The Schwarz lemma for super-conformal maps [Invited]
Moriya,Katsuhiro
The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds   26 Jul 2016   Young Jin Suh, Yoshihiro Ohnita, Jiazu Zhou, Byung Hak Kim
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 ...
Twistor lifts and factorization for conformal maps of a surface
Moriya,Katsuhiro
The 4th Workshop "Complex Geometry and Lie Groups"   22 Mar 2016   Anna Fino, Ryushi Goto, Keizo Hasegawa, Jun-ichi Matsuzawa
Conformal maps from a Riemann surface to the four-dimensional Eu- clidean space are studied by twistor lifts and a quaternionic holomorphic struc- ture. We explain a relation between these objects and define a factorization of the differential of ...

Teaching Experience

 
 

Research Grants & Projects

 
The Leverhulme Trust: International Networks
Project Year: Sep 2016 - Aug 2018    Investigator(s): Katrin Leschke
Led by Dr Katrin Leschke at the University of Leicester, Department of Mathematics; m:iv brings together researchers at five international institutions to work on the study of minimal surfaces: combining the expertise of the network partners in th...
Japan Society of for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2017 - Mar 2021    Investigator(s): Katsuhiro Moriya
Japan Society of for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2013 - Mar 2017    Investigator(s): Katsuhiro Moriya
A holomorphic function relates a figure in the plane to a figure in the plane
without changing the angle. This is said that a holomorphic function is conformal. A holomorphic function has mathematically good properties.
If a map relates a figure i...
Japan Society of for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2010 - Mar 2012    Investigator(s): Katsuhiro Moriya
The correspondence between the Lopez-Ros deformation of a minimal surface in Euclidean (four-)space and the dressing transformations of two families of flat connections associated with a minimal surface was cleared by the joint work with Dr, Katri...
Japan Society of for the Promotion of Science: Grant-in-Aid for Young Scientists (B)
Project Year: Apr 2007 - Mar 2008    Investigator(s): Katsuhiro Moriya

Others

 
Jan 2018
A member of the organising committee of Minimal surfaces and related topics, m:iv winter 2018 workshop at Granada University in Spain. http://gigda.ugr.es/minimal2018
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
A network partner of the m:iv minimal surfaces: integrable systems and visualisation.
An international research group funded by The Leverhulme Trust.
Led by Dr Katrin Leschke at the University of Leicester, Department of Mathematics; m:iv brings together researchers at five international institutions to work on the study of minimal surfaces: combining the expertise of the network partners in the areas of visualisation, minimal surfaces and integrable systems will allow new approaches in this research area. The network will run a series of seminars, ranging from introductory presentations to detailed talks on specialised results. The seminar series will develop the necessary foundations for the research whilst computer experiments are undertaken. Extended research visits each year will take place between network partners. In addition to the seminar series and research visits, the network will run a programme of workshops, hosted in turn by each network partner highlighting their area of research, with the final workshop taking place at Leicester, where the various strands will be linked together.
http://www2.le.ac.uk/projects/miv

The University has agreed to host members of the