Yamashita Yasushi

ヤマシタヤスシ | Yamashita Yasushi

Affiliation and department：

Research field (1)： Geometry

Research keywords (17)： experimental mathematics , visualization , geometric structure , low-dimensional topology , 3-manifolds , hyperbolic geometry , Kleinian groups , Teichmuller theory , knots , projective structure , geometric group theory , automatic groups , hyperbolic groups , growth function , configuration space , cone manifolds , hyperbolic Dehn surgery

Research theme for competitive and other funds (32)：

2021 - 2024 Invariants of pseudo-Anosov homeomorphisms
2020 - 2023 指標多様体上の幾何と写像類群作用を用いた算術的クライン群の分類
2017 - 2022 Geometry of discrete groups and its applications to 3-dimensional topology
2016 - 2021 結び目と3次元多様体の量子トポロジー
2017 - 2020 The geometry of character variety given by the dynamics of mapping class group action

2016 - 2019 Canonical fundamental domains and holonomy representations for cone hyperbolic manifolds

2014 - 2017 The geometric and dynamical decomposition of the character variety of surface groups

2010 - 2015 Geometric structure and combinatorial structure of 3-dimensional manifolds

2011 - 2013 The geometry of the mapping class group action on the character variety of surface groups

2009 - 2011 Indiscrete representations of discrete groups

2008 - 2010 The mapping class group action on the space of representations of surface groups and complex dynamics

2006 - 2009 Heegaard structures and geometric structures of 3-manifolds

2007 - 2008 Research on 3-manifolds based on geometric techniques and its expanse

2006 - 2007 The complex hyperbolic structures on the configuration spaces of points on the sphere and surface subgroup of mapping class groups

2005 - 2007 双曲構造と球面構造の双対性

2005 - 2006 Geometric structures of 3-manifolds and various related structures

2004 - 2005 球面上の重みつき点配置空間の上の複素双曲構造の変形理論の構築

2002 - 2005 Hecguard Splittings and genetic structures of 3-manifolds

2002 - 2005 Development of software to aid researches in Kleinnian groups and hyperbolic geometry

2003 - 2004 Research on various geometric structures on 3-manifolds

2003 - 2003 トポロジーにおける実験数学

2002 - 2003 点配置空間の上に定義される複素双曲構造の空間の記述

2000 - 2003 Heegaad splittings of 3-dimensional manifolds and geometric structures

2000 - 2002 Representations of 3-manifolds and geometric informations derived from them

2000 - 2001 球面上の点配置空間から生じる複素双曲多様体の変形理論

1998 - 1999 点配置空間の解析による双曲多様体の変形理論

1997 - 1999 Heegaand spliffings and hyperbolic structures of 3-manifolds

1997 - 1999 Gemetric Structures on Manifolds and Global Analysis

1996 - 1996 Constructions of Matrix representations of Hecke algebras through W-graphs

1995 - 1995 幾何構造の可視化

1994 - 1994 共形構造及び射影構造に関する幾何学

1993 - 1993 共形構造及び射影構造の幾何に関する研究

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Papers (18)：

Gaven Martin, Graeme O’Brien, Yasushi Yamashita. Random Kleinian Groups, II Two Parabolic Generators. Experimental Mathematics. 2020. 29. 4. 443-451
Yasushi Yamashita, Ryosuke Yamazaki. The realization problem for Jørgensen numbers. Conformal Geometry and Dynamics of the American Mathematical Society. 2019. 23. 2. 17-31
Caroline Series, Ser Tan, Yasushi Yamashita. The diagonal slice of Schottky space. Algebraic & Geometric Topology. 2017. 17. 4. 2239-2282
Yo’av Rieck, Yasushi Yamashita. Cosmetic surgery and the link volume of hyperbolic 3-manifolds. Algebraic & Geometric Topology. 2016. 16. 6. 3445-3521
Yoshiyuki Nakagawa, Makoto Tamura, Yasushi Yamashita. Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes. International Journal of Algebra and Computation. 2014. 24. 06. 795-813

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MISC (18)：

Yamashita Yasushi. Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes (Complex Analysis and Topology of Discrete Groups and Hyperbolic Spaces). RIMS Kokyuroku. 2015. 1936. 11-14
Yoshiyuki Nakagawa, Makoto Tamura, Yasushi Yamashita. The growth of torus link groups. 2014
YAMASHITA YASUSHI. A VERY BRIEF INTRODUCTION TO VIRTUAL HAKEN CONJECTURE (Representation spaces, twisted topological invariants and geometric structures of 3-manifolds). RIMS Kokyuroku. 2013. 1836. 192-199
山下靖. 新入生のための数学書ガイド(分担). 数学セミナー. 2013. 618. 8-36
Yo'av Rieck, Yasushi Yamashita. The Link Volume of Hyperbolic 3-Manifolds. 2012

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Books (2)：

Punctured torus groups and 2-bridge knot groups (I)
Springer 2007 ISBN:9783540718062
3次元幾何学とトポロジー
培風館 1999 ISBN:4563002720

Lectures and oral presentations (8)：

Computer experiments on generalized Riley slice
(Topology and geometry seminar at NUS 2024)
An implementation of the Bestvina-Handel algorithm for surface homeomorphisms in python
(年末セミナー2023〰Topics on Surfaces and Knots 2023)
Arithmetic Kleinian groups generated by two elliptic elements
(トポロジーとコンピュータ2023 2023)
Revisiting the moduli space of right-angled hyperbolic pentagon
(Geometry in low-dimensions 2022 2022)
Riley sliceと仲間たち
(早稲田大学双曲幾何幾何学的群論セミナー 2022)

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Professional career (1)：

Doctor of Science (Tokyo Institute of Technology)

Work history (7)：

2022/04 - 現在 Nara Women's University
2012/04 - 現在 Nara Women's University Faculty Division of Natural Sciences
2010/01 - 2012/03 Nara Women's University Faculty of Science
2007/04 - 2009/12 Nara Women's University Faculty of Science
2005/08 - 2007/03 Nara Women's University Faculty of Science

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