Rchr
J-GLOBAL ID：201601001711169555
Update date: Feb. 01, 2024
Hiroshige Shiga
しが ひろしげ | Hiroshige Shiga
Affiliation and department：
Job title：
Professor
Research field (1)：
Basic analysis
Research theme for competitive and other funds (59)：
- 2022 - 2025 擬等角解析および粗幾何による正則力学系とそのモジュライ空間の研究
- 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
- 2017 - 2022 Analysis of elliptic operators and its applications to Geometric Function Theory
- 2017 - 2021 複雑領域のポテンシャル解析の深化-非線形PDEと理想境界への応用
- 2018 - 2021 Holomorphic motionの一般化に見る複素多様体論の新たな視点
- 2016 - 2021 Degeneration and collapsing of Kleinian groups; geometry and analysis of the compactification of their defamation spaces
- 2014 - 2017 New perspective on Riemann surfaces of infinite genus and their deformation spaces
- 2013 - 2017 Potential theory on space complexity and ideal boundary
- 2010 - 2015 Analysis of degenerations and singularities of Kleinian groups and complex dynamics
- 2010 - 2015 Various aspects on the study of Geometric Function Theory
- 2011 - 2013 New development of the research of Lefschetz fibrations by Teichmuller theory
- 2008 - 2012 Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups
- 2008 - 2012 Research on potential problems from various aspects
- 2009 - 2011 Study on the structure of nonnegative solutions for parabolic equations and the perturbation theory of elliptic operators
- 2006 - 2008 リーマン面の正則族の大域的構成法の種々の試み
- 2005 - 2008 New development of geometric function theory focused on conformal invariants
- 2005 - 2008 Asymptotic analysis of heat kernels and Green functions and its applications
- 2005 - 2008 WZW model and 3-manifolds
- 2005 - 2008 Research on deformations of real and complex manifolds and variations of invariants
- 2004 - 2007 Researches on quasiconformal groups and the modular group of the universal Teichmuller space
- 2004 - 2005 Arithmetic of Automorphic Forms and Discrete Groups
- 2003 - 2005 Study on Diophantine problem over function fields and Teichmuller spaces
- 2003 - 2004 Conformal Field Theory and Witten Invariant
- 2001 - 2004 A synthetic study of positive solutions to elliptic and parabolic partial differential equations
- 2002 - 2003 Research on Eisenstein series
- 2001 - 2003 Research on rigidity and finiteness for holomorphic mappings on complex hyperbolic manifolds
- 2001 - 2003 Research on discrete groups and profective strucutures on Riemann surfaces
- 2001 - 2002 Gauge Theory and 3-Dimensional Manifolds
- 2001 - 2002 Analysis of Complex Dynamics
- 1999 - 2001 Research on Complex Dynamics
- 1999 - 2001 Problems of Hydrodynamic Limits and Related Subjects
- 1999 - 2000 Gauge Theory and 3-Dimensional Manifolds
- 1999 - 2000 Analysis of dynamical systems and related topics in geometry
- 1999 - 2000 A versatile study of positive solutions to parabolic and elliptic partial differential equations
- 1998 - 2000 Applications of analyticoty of functions
- 1997 - 2000 Geometric Complex Analysis
- 1998 - 1999 Ergodic theoretical approach to classical dynamical systems appearing in probability theory and complex analysis
- 1998 - 1999 Research on nearly holomorphic modular forms
- 1997 - 1998 Uniformization for smooth manifolds
- 1997 - 1998 Various problems in Hamiltonian dynamical systems and related topics in geometry and analysis
- 1997 - 1998 Structure of positive solutions to second order elliptic and parabolic partial differential equations
- 1996 - 1996 古典力学系および群作用のエルゴード理論的研究
- 1996 - 1996 数理物理・数理生物のモデルに関する確率解析
- 1996 - 1996 大域的複素解析の研究
- 1995 - 1995 多様体上の諸構造と不変量
- 1995 - 1995 幾何学的複素解析とポテンシャル論
- 1995 - 1995 大域的複素構造の研究
- 1994 - 1994 保型形式とL関数の研究
- 1992 - 1994 コンピュータと数学教育の係わりについての総合的研究
- 1993 - 1993 複素多様体の解析的研究
- 1993 - 1993 複素解析学とポテンシャル論の総合的研究
- 1992 - 1992 多様体上の複〓解析
- 1992 - 1992 複素多様体からの群の表現の解析
- 1991 - 1991 解析写像の研究
- 1991 - 1991 複素構造の解析学的・幾何学的研究
- 1990 - 1990 多様体上の複素解析
- 1989 - 1989 多様体上の複素解析
- 1988 - 1988 複素多様体上の解析写像の研究
- 1986 - 1986 近代函数論の位相的解析的研究
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Papers (14)：
Lectures and oral presentations (9)：
-
On the theory of open Riemann Surfaces
(2022)
-
Quasicircles and Dirichlet finite harmonic functions on Riemann Surfaces
(The KSCV14 and ICFIDCAA28 2022)
-
Quasiconformal mappings and quasicircles on open Riemann surfaces
(Conference in honor of the 65th birthday of Athanase Papadopoulos Galatasaray University, İstanbul, Turkey 2022)
-
On dynamical Cantor sets and quasiconformal mappings
(First Analysis Mathematica International Conference 2019)
-
On the quasiconformal equivalence of dynamical Cantor sets
(リーマン面・不連続群論」研究集会 2019)
ｍore...
Education (2)：
- - 1982 Kyoto Sangyo University Graduate School, Division of Natural Science 数学
- - 1977 Kyoto University Faculty of Science
Work history (6)：
- 2019/04 - 現在 Kyoto Sangyo University Faculty of Science Department of Mathematics Professor
- 1999/10 - 2019/03 Tokyo Institute of Technology School of Science Professor
- 1988/01 - 1999/09 Tokyo Institute of Technology Faculty of Science Associate Professor
- 1988 - Tokyo Institute of Technology Associate Professor
- 1982/04 - 1987/12 Kyoto University Faculty of Science Research Assistant
- 1982 - Kyoto University
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Association Membership(s) (1)：
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