石井 敦 (ISHII, Atsushi)

Talks:

  • The Alexander polynomial and the Jones polynomial,
    数理科学セミナー, 高知大学, 2024.10.3
  • On a bracket polynomial for the Alexander--Conway polynomial ,
    Knots and Related Topics, 大阪公立大学, 2024.9.12
  • Quandle twisted Alexander invariants with cohomologous Alexander pairs,
    数理情報科学セミナー, 広島大学総合科学部, 2023.9.28
  • Alexander type invariants of groups, quandles and MCQs,
    日本数学会年会, 中央大学, 2023.3.17
  • On normalization of Alexander type invariants,
    拡大KOOKセミナー2022, 神戸大学とオンライン, 2022.8.30
  • On a quandle derivative,
    カンドルと対称空間, オンライン, 2020.12.18
  • Invariants for oriented spatial surfaces,
    東京女子大学トポロジーセミナー, 東京女子大学, 2019.11.30
  • Generalized quandle cocycle invariants and shadow quandle cocycle invariants,
    The Third Pan Pacific International Conference on Topology and Applications, Xiangyu Hotel, Chengdu, China, 2019.11.9
  • On generalized quandle cocycle invariants,
    北陸結び目セミナー2019, 金沢大学サテライト・プラザ, 2019.10.5
  • Twisted derivatives with Alexander pairs for quandles,
    拡大KOOKセミナー2019, 神戸大学社会科学系フロンティア館プレゼンテーションホール, 2019.8.20
  • f-derivatives for quandles,
    Special Session on Algebraic and Combinatorial Structures in Knot Theory, AMS Sectional Meeting, University of Hawaii, Honolulu, Hawaii, USA, 2019.3.22
  • Fox derivatives for quandles,
    日本数学会年会, 東京工業大学, 2019.3.19
  • Fox calculus on quandle presentations,
    N-KOOKセミナー, 神戸薬科大学 地域連携サテライトセンター, 2018.11.10
  • Augmented Alexander matrices and generalizations of twisted Alexander invariants and quandle cocycle invariants II,
    農工大セミナー, 東京農工大学, 2018.5.14
  • Quandle twisted Alexander invariants,
    結び目の代数と幾何, 早稲田大学, 2018.3.9
  • An augmented Alexander matrix and an affine extension of a quandle,
    Branched Coverings, Degenerations, and Related Topics 2018, 広島大学, 2018.3.6
  • Generalizations of twisted Alexander invariants and quandle cocycle invariants,
    トポロジー火曜セミナー, 東京大学, 2017.10.17
  • Quandle extensions and generalized twisted Alexander invariants,
    ハンドル体結び目とその周辺10・Hurwitz action 7, 筑波大学, 2017.10.9
  • On augmented Alexander matrices,
    Friday Seminar on Knot Theory, 大阪市立大学, 2017.1.27
  • 拡張アレキサンダー行列と(ねじれ)アレキサンダー多項式・カンドルコサイクル不変量の一般化,
    東京女子大学トポロジーセミナー, 東京女子大学, 2016.12.10
  • Parallel biquandle colorings for handlebody-knots and spatial graphs,
    International Workshop on Spatial Graphs 2016, 早稲田大学, 2016.8.3
  • The products of Alexander invariants and quandle cocycle invariants,
    結び目の数学VIII, 早稲田大学, 2015.12.25
  • The Markov theorem for spatial graphs and handlebody-knots,
    Special Session on Spatial Graphs, AMS Sectional Meeting, California State University, Fullerton, California, USA, 2015.10.24
  • Group, quandle, and mixed (co)homologies,
    日本数学会秋季総合分科会, 京都産業大学, 2015.9.13
  • Questions on handlebody-knot theory,
    拡大KOOKセミナー2015, 神戸大学, 2015.8.18
  • The skein index and Fox p-colorings,
    Knots and Manifolds, 大阪市立大学, 2015.2.7
  • The Markov theorem for spatial graphs with Y-oriented IH-labeled spatial trivalent graphs,
    Friday Seminar on Knot Theory, 大阪市立大学, 2015.1.16
  • ハンドル体絡み目とハンドル体組み紐,
    ハンドル体結び目とその周辺VII, 奈良女子大学, 2014.10.4
  • Circulatory orientations and handlebody-links,
    日本数学会秋季総合分科会, 広島大学, 2014.9.28
  • A multiple conjugation quandle,
    International Conference on Topology and Geometry 2013, 島根大学, 2013.9.6
  • Multiple conjugation quandles and handlebody-knots,
    2013 TAPU Workshop on Knot Theory and Related Topics, National Institute for Mathematical Sciences, Daejeon, Korea, 2013.8.5
  • An introduction to handlebody-knot theory,
    Topology seminar, University of South Alabama, USA, 2013.2.14
  • A handlebody-knot is a spatial trivalent graph without bridges up to IH-moves,
    The 9th East Asian School of Knots and Related Topics, 東京大学, 2013.1.16
  • On some properties of handlebody-knots,
    Friday Seminar on Knot Theory, 大阪市立大学, 2012.10.19
  • Handlebody-knots and their invariants,
    幾何学コロキウム, 北海道大学, 2012.8.3
  • Handlebody-knots and their invariants,
    トポロジー金曜セミナー, 九州大学, 2012.6.8
  • Coloring invariants for handlebody-knots,
    colloquium, Kyungpook National University, Daegu, Korea, 2012.5.1
  • Quantum-commutative quantum-symmetric algebras and invariants for handlebody-links,
    日本数学会年会, 東京理科大学, 2012.3.26
  • An introduction to handlebody-knot theory,
    Colloquium, The University of South Florida, Tampa, USA, 2012.2.13
  • Invariants for handlebody-knots derived from Yetter--Drinfeld modules,
    The 8th East Asian School of Knots and Related Topics, Korea Advanced Institute of Science and Technology, Daejeon, Korea, 2012.1.11
  • A handlebody-knot and a Yetter--Drinfeld module,
    結び目の量子不変量とそのカテゴリー化, 早稲田大学, 2011.8.26
  • A quandle cocycle invariant with non-commutative flows for a handlebody-knot,
    Intelligence of Low-dimensional Topology, 京都大学, 2011.5.27
  • Quandle colorings with non-commutative flows,
    トポロジー火曜セミナー, 東京大学, 2011.5.17
  • 非可換フローを用いたハンドル体結び目のカンドルコサイクル不変量,
    Knotting Nagoya, 名古屋市立大学, 2011.2.19
  • A quandle cocycle invariant on a group representation for handlebody-links I, II, (with Yeonhee Jang and Kanako Oshiro),
    The Seventh East Asian School of Knots and Related Topics, 広島大学, 2011.1.10
  • A knotted handlebody and a spatial graph,
    International Workshop on Spatial Graphs 2010, 早稲田大学, 2010.8.19
  • ハンドル体絡み目の有限型不変量,
    ハンドル体結び目とその周辺III, 東京女子大学, 2010.5.15
  • Invariants for knotted handlebodies,
    量子群と量子トポロジー, 京都大学, 2010.4.20
  • On normalizations of a regular isotopy invariant for spatial graphs,
    日本数学会年会, 慶應義塾大学, 2010.3.26
  • Normalizations for the Yamada polynomial,
    The Sixth East Asian School of Knots and Related Topics, Nankai University, Tianjin, China, 2010.1.26
  • A writhe polynomial for spatial graphs,
    結び目の数学II, 早稲田大学, 2009.12.25
  • On a normalization of a regular isotopy invariant for spatial graphs,
    Intelligence of Low Dimensional Topology, 大阪市立大学, 2009.11.13
  • The IH-complex of spatial trivalent graphs I,
    日本数学会秋季総合分科会, 大阪大学, 2009.9.25
  • The IH-complex and quandle colorings,
    Workshop on Topology and Geometry---Quandles and Related Topics---, 広島大学, 2009.7.12
  • The IH-complex of spatial trivalent graphs,
    Simplicial Complexes Arising in Low-Dimensional Topology, 東京工業大学, 2009.7.2
  • The Miyazawa polynomial and the homotopy equivalence class of a virtual knot,
    nanowordsとvirtual knots, 東京工業大学, 2009.2.7
  • Flows for spatial graphs and handlebody-knots,
    The 5th East Asian School of Knots and Related Topics, Gyeongju TEMF Hotel, Gyeongju, Korea, 2009.1.13
  • ハンドル体絡み目とカンドルコサイクル不変量,
    談話会, 筑波大学, 2008.11.20
  • ハンドル体絡み目とカンドル(コ)ホモロジー,
    東京女子大学トポロジーセミナー, 東京女子大学, 2008.10.18
  • A quandle cocycle invariant for handlebody-links, (with M. Iwakiri),
    日本数学会秋季総合分科会, 東京工業大学, 2008.9.25
  • ハンドル体の3次元球面への埋め込みとカンドルコサイクル不変量,
    トポロジーシンポジウム, 金沢大学, 2008.8.8
  • ハンドル体絡み目の基本変形とダイアグラムを用いた不変量,
    ハンドル体結び目とその周辺, 神戸大学, 2008.6.22
  • Invariants for spatial graphs and knotted handlebodies,
    微分トポロジーセミナー, 京都大学, 2008.5.27
  • Moves and invariants for handlebody-links,
    日本数学会年会, 近畿大学, 2008.3.23
  • The skein index for link invariants,
    The 5th TAPU Workshop on Knots and Related Topics, Kyungpook National University, Daegu, Korea, 2008.1.17
  • A categorification of the one-variable Kamada-Miyazawa polynomial, (with K. Tanaka),
    結び目のトポロジーX, 東京女子大学, 2007.12.24
  • The Miyazawa polynomials for long virtual knots,
    International Conference on Topology and its Applications 2007 joint with 4th Japan Mexico Topology Conference, 京都大学, 2007.12.4
  • A quandle cocycle invariant for handlebody-links,
    トポロジー火曜セミナー, 東京大学, 2007.11.27
  • On handlebodies embedded in the 3-sphere,
    Topology-Geometry Seminar, Georgia Institute of Technology, Atlanta, USA, 2007.11.5
  • Khovanov homology for virtual links with two types of maps for M\"{o}bius cobordisms, (with K. Tanaka),
    Knotting Mathematics and Art, The University of South Florida, Tampa, USA, 2007.11.4
  • On handlebodies embedded in the 3-sphere,
    数理学談話会, 金沢大学, 2007.10.3
  • The skein index for link invariants,
    日本数学会秋季総合分科会, 東北大学, 2007.9.21
  • Moves and invariants for knotted handlebodies,
    Intelligence of Low Dimensional Topology 兼拡大KOOKセミナー, 大阪市立大学, 2007.8.29
  • The pole diagram and the Miyazawa polynomial,
    International conference on quantum topology, Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam, 2007.8.7
  • Moves and invariants for knotted handlebodies,
    低次元トポロジーセミナー, 大阪大学, 2007.7.23
  • An invariant of a handlebody-link,
    早稲田大学教育学部トポロジーセミナー, 早稲田大学, 2007.6.30
  • The skein index for link invariants,
    Friday Seminar on Knot Theory, 大阪市立大学, 2007.6.15
  • The two variable bracket polynomial for Miyazawa polynomial,
    Seminar, Korea Advanced Institute of Science and Technology, Daejeon, Korea, 2007.5.23
  • A bracket polynomial and TQFT for invariants of virtual links,
    低次元トポロジーセミナー, 京都大学数理解析研究所, 2007.4.12
  • The pole diagram and the Miyazawa polynomial,
    日本数学会年会, 埼玉大学, 2007.3.30
  • The pole diagram and the Miyazawa polynomial,
    The 3rd East Asian School of Knots, Links and Related Topics, 大阪市立大学, 2007.2.8
  • The pole diagram and the virtual crossing number,
    結び目のトポロジーIX, 日本大学, 2006.12.20
  • The pole diagram and the magnetic diagram,
    広島大学トポロジー・幾何セミナー, 広島大学, 2006.12.5
  • The pole diagram and the Miyazawa polynomial,
    Friday Seminar on Knot Theory, 大阪市立大学, 2006.11.24
  • An invariant of a virtual (1,1)-tangle and the Miyazawa polynomial, (with N. Kamada and S. Kamada),
    東北結び目セミナー, 国際蔵王高原ホテル, 2006.11.17
  • 長仮想結び目の2変数多項式不変量, (with N. Kamada and S. Kamada),
    日本数学会秋季総合分科会, 大阪市立大学, 2006.9.21
  • Smoothing resolution for the Alexander-Conway polynomial,
    Intelligence of Low Dimensional Topology, 広島大学, 2006.7.24
  • Smoothing decomposition for the Alexander-Conway polynomial,
    日本数学会年会, 中央大学, 2006.3.28
  • 仮想マグネティックスケイン加群とf-多項式のスケイン関係式, (with N. Kamada and S. Kamada),
    日本数学会年会, 中央大学, 2006.3.28
  • A bracket polynomial for the Alexander-Conway polynomial,
    早大理工トポロジーセミナー, 早稲田大学, 2006.2.15
  • The virtual magnetic skein module and construction of skein relations on Jones-Kauffman polynomial, (with N. Kamada and S. Kamada),
    NZ-Japan Knot Theory conference, The University of Auckland, Auckland, New Zealand, 2006.1.7
  • An algebra for the Alexander-Conway polynomial,
    結び目のトポロジーVIII, 早稲田大学, 2005.12.25
  • The virtual magnetic skein module and construction of skein relations for the Jones-Kauffman polynomial,
    トポロジー金曜セミナー, 九州大学, 2005.11.18
  • Skein relations for the f-polynomial,
    低次元トポロジーセミナー, 大阪大学, 2005.11.16
  • Skein relations for a quantum invariant of virtual links,
    日本数学会秋季総合分科会, 岡山大学, 2005.9.20
  • Quantum invariants of virtual links and Cartan subalgebras,
    結び目と多様体の幾何と代数III, 甲南大学, 2005.9.1
  • Skein relations for the generalized Alexander polynomial for virtual links,
    The Second East Asian School of Knots and Related Topics in Geometric Topology, Dalian University of Technology, Dalian, China, 2005.8.2
  • Skein relations for a quantum invariant of virtual links,
    広島大学トポロジー・幾何セミナー, 広島大学, 2005.7.12
  • Uq[gl(m|n)] invariants for classical links and virtual links,
    東京女子大学トポロジーセミナー, 東京女子大学, 2005.6.18
  • Skein relations for the generalized Alexander polynomial for virtual links and closed virtual 2-braids,
    Friday Seminar on Knot Theory, 大阪市立大学数学研究所, 2005.5.6
  • The LG^{m,1} invariants and the Alexander-Conway polynomial (joint work with D. De Wit and J. Links),
    日本数学会年会, 日本大学, 2005.3.29
  • On the LG quantum link invariant,
    数学総合若手研究集会, 北海道大学, 2005.2.14
  • The LG polynomial as a generalization of the Alexander-Conway polynomial,
    結び目のトポロジーVII, 東京女子大学, 2004.12.25
  • A relation between the LG polynomial and the Kauffman polynomial,
    3rd Japan-Mexico Joint Meeting on Topology and its Applications, Facultad de Ciencias de la Universidad Aut\'{o}noma Benito Ju\'{a}rez de Oaxaca, Oaxaca, Mexico, 2004.12.7
  • The LG^{m,1} invariants and the Alexander-Conway polynomial (joint work with D. De Wit and J. Links),
    Intelligence of Low Dimensional Topology, 大阪市立大学文化交流センター, 2004.10.26
  • The LG polynomial as a generalization of the Alexander-Conway polynomial,
    日本数学会秋季総合分科会, 北海道大学, 2004.9.21
  • On the LG polynomial,
    阪大トポロジーセミナー, 大阪大学, 2004.7.26
  • The LG polynomial and the Alexander-Conway polynomial,
    International Graduate Course Student Workshop for Knot Theory and Related Topics, 大阪市立大学, 2004.7.5
  • Algebra and Geometry of the LG polynomial,
    Seminar, The University of Queensland, Brisbane, Australia, 2004.4.21
  • The Links-Gould invariants of the Kanenobu knots,
    日本数学会年会, 筑波大学, 2004.3.29
  • Skein relations of the Links-Gould invariant and their applications,
    First East Asian School of Knots, Links, and Related Topics, Kyoyuk Munhwa Hoekwan, Seoul, Korea, 2004.2.18
  • A relation between the Links-Gould invariant and the Alexander-Conway polynomial,
    東北結び目セミナー, 山形大学, 2004.1.6
  • A relation between the Links-Gould invariant and the Kauffman polynomial, (with T. Kanenobu),
    結び目のトポロジーVI, 日本大学, 2003.12.16
  • Different links with the same Links-Gould invariant, (with T. Kanenobu)
    結び目のトポロジーVI, 日本大学, 2003.12.16
  • The Links-Gould invariants of the Kanenobu knots,
    Intelligence of Low Dimensional Topology, 国民宿舎小豆島, 2003.11.18
  • Skein relations of the Links-Gould invariant,
    日本数学会秋季総合分科会, 千葉大学, 2003.9.25
  • Skein relations of the Links-Gould invariant and algebraic links,
    結び目と多様体の幾何と代数II, 甲南大学, 2003.9.3
  • The Links-Gould invariant of closed 3-braids,
    日本数学会年会, 東京大学, 2003.3.23
  • The Links-Gould invariant of links as Vassiliev invariant,
    結び目のトポロジーV, 早稲田大学, 2002.12.16
  • 3次の skein relation を持つ結び目不変量に対するコンピュータを使ったアプローチ,
    トポロジーとコンピュータ, 奈良女子大学, 2002.11.30
  • The Links-Gould invariant of 3-braids,
    結び目と多様体の幾何と代数, 大阪市立大学文化交流センター, 2002.10.9