Rchr
J-GLOBAL ID：200901088310633871
Update date: Apr. 11, 2024
Miyachi Hideki
ミヤチ ヒデキ | Miyachi Hideki
Affiliation and department：
Research field (1)：
Basic analysis
Research keywords (8)：
Riemann surface
, Moduli space
, Quasiconformal mappings
, Hyperbolic geometry
, Discrete group
, Teichmuller space
, Complex analysis
, Pluripotential theory
Research theme for competitive and other funds (20)：
- 2022 - 2027 3次元トポロジーへの応用を目指した離散群の表現空間と大域幾何の研究
- 2020 - 2026 Reconstructing the Thurston theory based on Higgs bundles and its new development
- 2020 - 2025 タイヒミュラー空間論の複素解析的側面の深化と多角的視点からの新展開
- 2018 - 2023 Various evolutions of Teichmuller theory
- 2017 - 2022 Geometry of discrete groups and its applications to 3-dimensional topology
- 2016 - 2021 Degeneration and collapsing of Kleinian groups; geometry and analysis of the compactification of their defamation spaces
- 2016 - 2019 タイヒミュラー空間の複素解析的構造の研究
- 2011 - 2016 Teichmuller space and its topological dynamics via flat singular metrics on a surface
- 2010 - 2016 Global geometric studies on Kleinian groups and Teichmuller spaces
- 2010 - 2015 Geometric structure and combinatorial structure of 3-dimensional manifolds
- 2010 - 2014 Ergodic-theoretical study of dynamical systems and stochastic processes related to the theory of Teichmuller spaces
- 2011 - 2013 New development of the research of Lefschetz fibrations by Teichmuller theory
- 2009 - 2013 タイヒミュラー空間及びクライン群の変形空間の複素解析的構造の研究
- 2010 - 2012 Applications of global coordinate systems for the representation spaces of punctured surface groups
- 2008 - 2012 Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups
- 2007 - 2010 Global construction of pleating coordinates of Teichmuller spaces and its applications
- 2006 - 2010 Euclidean cone structures on a surface and Teichmuller spaces
- 2006 - 2009 Heegaard structures and geometric structures of 3-manifolds
- 2005 - 2008 A classification of hyperbolic 3-manifolds and deformation spaces of hyperbolic structures
- 2005 - 2007 タイヒミュラー空間とクライン群の変形空間の複素解析的構造の研究
Show all
Papers (45)：
-
Hideki Miyachi. Pluripotential theory on Teichmüller space II - Poisson integral formula. Advances in Mathematics. 2023. 432. 109265-109265
-
Guangming Hu, Zhiyang Lv, Hideki Miyachi, Yi Qi, Dong Tan. The universal commensurability Busemann horofunction compactified Teichmüller space. Mathematische Nachrichten. 2023. 296. 8. 3375-3386
-
Guangming Hu, Hideki Miyachi. Estimates of the Bergman kernel on Teichmüller space. Proceedings of the American Mathematical Society. 2023. 151. 7. 2895-2905
-
Hideki Miyachi, Ken'ichi Ohshika, Athanase Papadopoulos. Tangent spaces of the Teichmüller space of the torus with Thurston's weak metric. Annales Fennici Mathematici. 2022. 47. 1. 325-334
-
MIYACHI Hideki. Pluripotential theory on Teichmüller space I: Pluricomplex Green function. Conformal geometry and Dynamics. 2019. 23. 221-259
ｍore...
MISC (4)：
-
MIYACHI HIDEKI. THURSTON THEORY ON TEICHMULLER SPACE WITH EXTREMAL LENGTH (Geometry of Moduli Space of Low Dimensional Manifolds). RIMS Kokyuroku. 2013. 1862. 20-29
-
MIYACHI HIDEKI. A SURVEY ON THE EXTREMAL LENGTH GEOMETRY ON TEICHMULLER SPACE (Geometric and analytic approaches to representations of a group and representation spaces). RIMS Kokyuroku. 2012. 1777. 50-56
-
Miyachi Hideki. On cusps in the boundary of the one-dimensional Teichmuller space (Hyperbolic Spaces and Related Topics II). RIMS Kokyuroku. 2000. 1163. 18-23
-
Miyachi Hideki. On cusps in the boundary of the Maskit slice for once puctured torus groups (Comprehensive Research on Complex Dynamical Systems and Related Fields). RIMS Kokyuroku. 2000. 1153. 20-28
Lectures and oral presentations (45)：
-
Towards Complex analysis on Teichmueller space
(International Conference on Complex Analysis 2019 2019)
-
Towards Complex analysis and Pluripotential theory on Teichmuller space
(2019)
-
Complex Analysis on Teichmüller space
(HAYAMA Symposium on Complex Analysis in Several Variables XXI 2019)
-
Poisson integral formula for Teichmueller space
(Riemann surfaces and Teichmuller theory 2019)
-
Toward Complex analysis on Teichmueller space
(Workshop on Holomorphic Maps, Pluripotentials and Complex Geometry 2019)
ｍore...
Awards (2)：
- 2021/09 - The mathematical society of Japan Analysis prize Study on complex analysis on Teichmüller space
- 2014 - 大阪大学 総長奨励賞(研究部門)
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
