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Ishii Atsushi

Affiliation
Faculty of Pure and Applied Sciences
Official title
Assistant Professor
URL
Research fields
Geometry
Research keywords
low-dimensional topology
Research projects
ハンドル体結び目と拡大アレクサンダー不変量2018 -- 2020石井 敦Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)4,290,000Yen
ハンドル体結び目の向きと不変量2015 -- 2017石井 敦Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)4,680,000Yen
ハンドル体結び目と不変量2012 -- 2014Japan Society of for the Promotion of Science/若手研究(B)1,560,000Yen
ハンドル体結び目とトポロジー2009 -- 2011Japan Society of for the Promotion of Science/若手研究(B)4,030,000Yen
Career history
2005-04 -- 2007-03JSPS Osaka University Research Fellow
2007-04 -- 2008-08JSPS RIMS, Kyoto University Research Fellow
2008-09 -- 2013-04(University of Tsukuba) 大学院数理物質科学研究科 Assistant Professor
2013-05 -- (current)(University of Tsukuba) 数理物質系(数学域) 講師
Degree
2006-03博士(理学)Osaka University
Academic societies
-- (current)The Mathematical Society of Japan
Articles
  • Biquandle (co)homology and handlebody-links
    Ishii Atsushi; Iwakiri Masahide; Kamada Seiichi; Kim Jieo...
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS/27(11:::SI), 2018-10
  • ON CALCULATIONS OF THE TWISTED ALEXANDER IDEALS FOR SPATIAL GRAPHS, HANDLEBODY-KNOTS AND SURFACE-LINKS
    Ishii Atsushi; Nikkuni Ryo; Oshiro Kanako
    OSAKA JOURNAL OF MATHEMATICS/55(2)/pp.297-313, 2018-04
  • A multiple conjugation biquandle and handlebody-links
    Ishii Atsushi; Iwakiri Masahide; Kamada Seiichi; Kim Jieo...
    HIROSHIMA MATHEMATICAL JOURNAL/48(1)/pp.89-117, 2018-03
  • HOMOLOGY FOR QUANDLES WITH PARTIAL GROUP OPERATIONS
    Carter Scott; Ishii Atsushi; Saito Masahico; Tanaka Kokoro
    PACIFIC JOURNAL OF MATHEMATICS/287(1)/pp.19-48, 2017-03
  • The Markov theorems for spatial graphs and handlebody-knots with Y-orientations
    Ishii Atsushi
    INTERNATIONAL JOURNAL OF MATHEMATICS/26(14), 2015-12
  • A multiple conjugation quandle and handlebody-knots
    Ishii Atsushi
    TOPOLOGY AND ITS APPLICATIONS/196(B)/pp.492-500, 2015-12
  • Handlebody-knot invariants derived from unimodular Hopf algebras
    Masuoka Akira; Ishii Atsushi
    Journal of Knot Theory and its Ramifications/23(7)/p.1460001, 2014-06
  • Handlebody-knot invariants derived from unimodular Hopf algebras
    Ishii Atsushi
    J. Knot Theory Ramifications/23/p.1460001, 2014
  • A G-family of quandles and handlebody-knots
    Ishii Atsushi; Masahide Iwakiri; Yeonhee Jang; Kanako Oshiro
    Illinois J. Math./57/pp.817-838, 2013
  • Knotted handle decomposing spheres for handlebody-knots
    Ishii Atsushi; Kishimoto Kengo; Ozawa Makoto
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN/67(1)/pp.407-417, 2015-01
  • The quandle coloring invariant of a reducible handlebody-knot
    Ishii Atsushi; Kishimoto Kengo
    Tsukuba J. Math. 35 (2011) 131--141./35/pp.131-141, 2011-07
  • On normalizations of a regular isotopy invariant for spatial graphs
    Ishii Atsushi
    INTERNATIONAL JOURNAL OF MATHEMATICS/22(11)/pp.1545-1559, 2011-11
  • The Links-Gould invariants of the Kanenobu knots
    Atsushi Ishii
    Kobe J. Math./20/p.53-61, 2003-01
  • The Links-Gould invariant of closed 3-braids
    Atsushi Ishii
    J. Knot Theory Ramifications/13/p.41-56, 2004-01
  • Algebraic links and skein relations of the Links-Gould invariant
    Atsushi Ishii
    Proc. Amer. Math. Soc./132/p.3741-3749, 2004-01
  • Different links with the same Links-Gould invariant
    Atsushi Ishii; Taizo Kanenobu
    Osaka J. Math./42/p.273-290, 2005-01
  • Infinitely many two-variable generalisations of the Alexander-Conway polynomial
    Atsushi Ishii; David De Wit; Jon Links
    Algebr. Geom. Topol./5/p.405-418, 2005-01
  • The Links-Gould polynomial as a generalization of the Alexander-Conway polynomial
    Atsushi Ishii
    Pacific J. Math./225/p.273-285, 2006-01
  • A relation between the LG polynomial and the Kauffman polynomial
    Atsushi Ishii; Taizo Kanenobu
    Topology Appl./154/p.1407-1416, 2007-01
  • The pole diagram and the Miyazawa polynomial
    Atsushi Ishii
    Internat. J. Math./19/p.193-207, 2008-01
  • The virtual magnetic Kauffman bracket skein module and skein relations for the -polynomial
    Atsushi Ishii; Naoko Kamada; Seiichi Kamada
    J. Knot Theory Ramifications/17/p.675-688, 2008-01
  • The skein index for link invariants
    Atsushi Ishii
    J. Math. Soc. Japan/60/p.719-740, 2008-01
  • Moves and invariants for knotted handlebodies
    Atsushi Ishii
    Algebr. Geom. Topol./8/p.1403-1418, 2008-01
  • Smoothing resolution for the Alexander-Conway polynomial
    Atsushi Ishii
    Acta Math. Vietnam./33/p.321-333, 2008-01
  • The leading finite type coefficients of the Links-Gould polynomial
    Atsushi Ishii
    Kyungpook Math. J./50/p.49-58, 2010-01
Conference, etc.
  • Partially multiplicative biquandles and handlebody-knots
    Ishii Atsushi; Nelson Sam
    AMS Fall Western Sectional Meeting/2015-10-24--2015-10-25
Teaching
2019-10 -- 2020-02Research in Geometry IIIBUniversity of Tsukuba.
2019-04 -- 2019-08Research in Geometry IIIBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Geometry VBUniversity of Tsukuba.
2019-04 -- 2019-08Research in Geometry VAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Geometry IAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Geometry IBUniversity of Tsukuba.
2019-04 -- 2019-08Research in Geometry IVBUniversity of Tsukuba.
2019-10 -- 2020-02Seminar on GeometryUniversity of Tsukuba.
2019-04 -- 2019-08Seminar on GeometryUniversity of Tsukuba.
2019-10 -- 2020-02Research in Geometry IVAUniversity of Tsukuba.

(Last updated: 2019-07-16)