Rchr
J-GLOBAL ID：200901014187382300
Update date: Jan. 31, 2024
Nakanishi Toshihiro
ナカニシ トシヒロ | Nakanishi Toshihiro
Affiliation and department：
Homepage URL (1)：
http://www.math.shimane-u.ac.jp/~tosihiro/
Research field (1)：
Basic analysis
Research keywords (1)：
数学・複素解析学
Research theme for competitive and other funds (46)：
- 2022 - 2025 ディリクレ基本領域が導く閉双曲多様体の多面体分割の構成と特徴付け
- 2021 - 2024 A representation of the Teichmuller modular group as a group of rational transfomations and its applications to dynamical systems and Kleinian groups
- 2019 - 2024 Research on random real and complex dynamical systems, semigroups of holomorphic maps and fractal geometry
- 2018 - 2023 A study on dynamical system of the Teichmuller modular group represented by a group of rational transformations
- 2013 - 2019 Research on the Weil-Petersson metric of infinite dimensional Teichmueller spaces
- 2015 - 2018 Study on the representation of Teichmuller modular groups as a group of rational transformations
- 2013 - 2018 Analysis of extremal Riemann surfaces and Klein surfaces
- 2010 - 2015 Geometric structure and combinatorial structure of 3-dimensional manifolds
- 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
- 2009 - 2011 Elucidation of the boundary of various Siegel disks influenced by continued fraction expansions
- 2006 - 2009 Heegaard structures and geometric structures of 3-manifolds
- 2006 - 2008 Study of projective structures on Riemann surfaces and its applications to hyperbolic manifolds and complex dynamical systems
- 2005 - 2008 New development of geometric function theory focused on conformal invariants
- 2005 - 2008 Towards a mathematical foundation of renormalization group oriented stochastic analysis
- 2005 - 2008 Study of rigidity of discrete groups by geometric methods
- 2004 - 2007 Researches on quasiconformal groups and the modular group of the universal Teichmuller space
- 2004 - 2006 Research on Jorgensen groups and classical Schottky groups
- 2003 - 2006 Potential analysis
- 2002 - 2005 Global complex analysis - around L^2 holomorphic functions
- 2001 - 2004 Study of Discrete Subgroups of Rank 1 Simple Groups by Geometric Methods
- 2002 - 2003 Research on Jorgensen groups and Schottky spaces
- 2001 - 2003 Research on discrete groups and profective strucutures on Riemann surfaces
- 2000 - 2003 Diffeomorphism groups --from a view point of rigidity problem
- 2001 - 2002 Analysis and Geometry of the Teichmuller Spaces
- 2000 - 2001 Research on Schottky spaces and Jorgensen groups
- 2000 - 2001 Development of Geometric Complex Analysis
- 1999 - 2000 TEICHMULLER SPACES AND GEOMETRY OF MOBIUS TRANSFORMATIONS
- 1999 - 2000 Geometry and Analysis of Strongly Pseudoconvex CR Structure and Contact Structure
- 1998 - 1999 Research on projective structures Riemaun surfaces from analytic and geometric vieupo
- 1998 - 1999 Research on Schottky groups and Schottky spaces
- 1998 - 1999 Complex analysis of Bergman spaces and α-cohomology
- 1997 - 1998 Study of metric properties of Teichmuller spaces
- 1997 - 1998 Global Analysis for Geometric Structures and Topological Invariants
- 1996 - 1997 COMPLEX ANALYSIS BY THE L METHOD
- 1996 - 1996 微分幾何学と大域解析学の研究
- 1995 - 1995 関数解析学と関連分野の研究
- 1994 - 1994 タイヒミュラー空間の研究とその応用
- 1994 - 1994 確率過程と関連分野の研究
- 1994 - 1994 複素解析学と関連分野の研究
- 1993 - 1993 タイヒミュラー空間の研究とその応用
- 1991 - 1991 確率過程と関連分野の研究
- 1987 - 1987 確率過程と関連分野の研究
- 1986 - 1986 整数論と関連分野の研究
- 1984 - 複素解析学
- Complex Analysis
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Papers (12)：
MISC (27)：
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Nakanishi Toshihiro. The work of Maryam Mirzakhani. SUGAKU. 2016. 68. 1. 60-65
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Gou Nakamura, Toshihiro Nakanishi. Parametrizations of some teichmüller spaces by trace functions. Conformal Geometry and Dynamics. 2013. 17. 5. 47-57
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Toshihiro Nakanishi, Gou Nakamura. Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group. Annales Univ. Mariae Curie-Sklodowska, Lublin, Polonia, Sectio A. 2013. 26. 1. 35-44
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Gou Nakamura, Toshihiro Nakanishi. Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group. Annales Universitatis Mariae Curie-Sklodowska, Sectio A. 2013. 67. 35-44
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Nakanishi Toshihiro, Nakamura Gou. Parametrizations of Teichmuller spaces by trace functions (Geometric and analytic approaches to representations of a group and representation spaces). RIMS Kokyuroku. 2012. 1777. 62-74
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Lectures and oral presentations (29)：
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タイヒミュラー空間の測地的長さ関数による座標とその写像類群への応用
(第31回 東北複素解析セミナー 2017)
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タイヒミュラー距離のなめらかさについて I
(研究集会「2次微分の幾何とその周辺」 2017)
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Generation of finite subgroups of the mapping class group of genus 2 surface by Dehn twists
(第15回代数曲線論シンポジウム 2017)
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擬等角写像の偏導関数のL^p可積分性
(ベルトラミ方程式勉強会(part 1) 2017)
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タイヒミュラー空間のトレース関数と写像類群の有理変換としての表現
(広島大学トポロジー・幾何セミナー 2016)
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Professional career (1)：
Work history (1)：
- Shimane University Interdisciplinary Faculty of Science and Engineering, Department of Mathematics and Computer Science
Committee career (1)：
- 2013 - 2014 日本数学会 日本数学会中・四国支部評議員
Association Membership(s) (1)：
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