Faculty Members

LANGUAGE ≫ Japanese

Associate Professor
KASAHARA, Yasushi

  • Affiliation: Department of Core Studies
Areas of specialization
Laboratory/research office Topology of mapping class group
Topology is the branch of mathematics which studies global properties of geometric objects and describes it in terms of rigorous algebra. Recently, the tools developed in topology have had applications to the real-world science/technology such as analysis of big data, and new models of proteins.
I will continue to study the topology of mapping class group of surface as well as its applications to the moduli space of Riemann surfaces, taking account of the applications as mentioned above.
Current research topics
Educational background 1994: Doctor
Professional background
Licenses
Academic societies

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Courses

* Courses provided in English are shown with (E) mark

Undergraduate school
  • Mathematics 3
  • Mathematics 7
  • Geometry 2
  • Introduction to Geometry
Graduate school
  • Topics in Geometry II

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Research activities

Research papers
  1. Authors: KASAHARA Yasushi
    Title: Geometric intersection in representations of mapping class groups of surfaces
    Journal: Topology and its Applications, Vol. 217, pp. 31-37, Elsevier
    Year: 2017
  2. Authors: 笠原 泰
    Title: On visualization of the linearity problem for mapping class groups of surfaces
    Journal: Geometriae Dedicata, Springer Netherlands
    Year: 2014
  3. Authors: KASAHARA Yasushi
    Title: Addendum to: "An expansion of the Jones representation of genus 2 and the Torelli group"
    Journal: Journal of Knot Theory and Its Ramifications, Vol. 20, No. 6, pp. 939-941, World Scientific Publishing
    Year: 2011
  4. Authors: 笠原 泰
    Title: Remarks on the faithfulness of Jones representations
    Journal: Advanced Studies in Pure Mathematics 52
    Year: 2008
  5. Authors: 笠原 泰
    Title: The Jones representation of genus 1
    Journal: Intelligence of Low Dimensional Topology 2006, World Sci. Publ., River Edge, NJ
    Year: 2006
  6. Authors: KASAHARA Yasushi
    Title: An expansion of the Jones representation of genus 2 and the Torelli group II
    Journal: J. Knot Theory and its Ramifications, Vol. 13, No. 2, pp. 297-306
    Year: 2004
  7. Authors: KASAHARA Yasushi
    Title: The Jones representation of genus 2 at the 4th root of unity and the Torelli group
    Journal: Topology and its Applications, Vol. 124, pp. 129-138
    Year: 2002
  8. Authors: Yasushi Kasahara
    Title: An expansion of the Jones representation of genus 2 and the Torelli group
    Journal: Algebraic and Geometric Topology, Vol. 1, pp. 39-55
    Year: 2001
Invited lectures
  1. , 2016/12/17
  2. , 2016/10/26
  3. , 2016/09/06
  4. , 2016/07/08
Grants-in-Aid for Scientific Research from the Japanese government
  1. Project title: Fosterage of the visualization of the linearity for mapping class groups of surfaces
    Category: Grant-in-Aid for Scientific Research (C)
    Project number: 23540102
    Project period: 2011-2013
    Total budget amount: 3,380,000 yen
    Keywords: 

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Social activities

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