Specialities

low dimensinal topolpgy、Algebra

Speciality Keywords

Knot, low dimensinal topolpgy

Research Themes

Books

Papers

• 　On the skeins in the annulus and applications to invariants of 3-manifolds　JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS　7　2　187-203　1998
• 　Skeins associated with Homfly and Kauffman polynomials and invariants of graphs　ARCHIV DER MATHEMATIK　76　1　1-7　2001/01
• 　Twisted linking numbers via representations of fundamental groups　Pacific Journal of Mathematics (to appear)
• 　On the formulae for the colored HOMFLY polynomials　Journal of Geometry and Physics　106　143-154　2016

Conference Presentations

Others

• 　Twisted linking numbers via representations of　205　1　139-152　2002
• 　q-Analogues of the Riemann zeta,　20　1-26　2008/01/01
• 　Limits of the HOMFLY polynomials of the figure-eight knot　INTELLIGENCE OF LOW DIMENSIONAL TOPOLOGY 2006　2007

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

○「対称関数，Schur関数の立場からみた結び目と３次元多様体の量子不変量の研究」(1999-)　
○「対称函数の観点からみた結び目と３次元多様体の量子不変量の特殊値」(2001-)　
○「HOMFLYとKauffman多項式による量子不変量の漸近挙動の研究」(2007-2009)　
○「Schur函数による量子不変量の特殊値の研究」(2006-)　
○「Schur函数を利用した結び目の量子不変量の特殊値とその補空間の幾何」(2003-2006)　

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Mathematical Thinking(2017)
○Introduction to Information and Computational Science(2017)
○Mathematical Thinking(2017)
○Linear Algebra 1(2017)
○Linear Algebra 2(2017)
○Presentation and Debate (Freshman Seminar II)(2017)
○Presentation and Debate (Freshman Seminar II)(2017)
○Freshman Seminar I(2017)
○Linear Algebra 1(2016)
○Introduction to Information and Computational Science(2016)
○Linear Algebra 2(2016)

Classes (Graduate Schools)

○Topology(2017)
○Topology(2017)
○Topology(2017)
○Topology(2017)
○Research Work A(2017)
○Exercise A(2017)
○Topics in Computational Science a(2017)
○Seminar A(2017)
○Topics in Computational Science b(2017)
○Topics in Computational Science a(2016)
○Topology(2016)
○Seminar A(2016)
○Exercise A(2016)
○Topics in Computational Science b(2016)
○Research Work A(2016)