Kanako Oshiro, Quandle homology theory and quandle cocycle invariants of links,
Quandles and Symmetric Spaces, OCAMI Reports Vol.~4 (2021), 29--31. (報告集)
Kanako Oshiro and Natsumi Oyamaguchi, Goeritz matrices and Dehn colorings of spatial graphs,
preprint.
Kanako Oshiro, Quandles versus symmetric quandles for oriented links,
preprint
Atsushi Ishii and Kanako Oshiro, Quandle twisted Alexander invariants,
Osaka J. Math. 59 (2022). (査読有)
Kanako Oshiro and Natsumi Oyamaguchi, Dehn colorings and vertex-weight invariants for spatial graphs,
Topology Appl. 307 (2022), Paper No. 107766, 13 pp. (査読有)
Atsushi Ishii and Kanako Oshiro, Derivatives with Alexander pairs for quandles,
to appear in Fund. Math.(査読有)
Kanako Oshiro, Kei and Symmetric Quandles ,
Encyclopedia of Knot Theory (2021), Chapter 77.(書籍, 査読有)
Kanako Oshiro and Natsumi Oyamaguchi, Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions ,
J. Knot Theory Ramifications (2021), 2150015, 34 pp.(査読有)
Atsushi Ishii and Kanako Oshiro, Row relations of twisted Alexander matrices and shadow quandle $2$-cocycles,
Topology Appl. 301 (2021), Paper No. 107513, 17 pp. (査読有)
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, and Kanako Oshiro, Cocycles of $G$-Alexander biquandles and $G$-Alexander multiple conjugation biquandles ,
Topology Appl. 301 (2021), Paper No.107512, 31 pp. (査読有)
Kanako Oshiro, Shadow biquandles and local biquandles,
Topology Appl. 271 (2020), 107041. (査読有)
Sam Nelson, Kanako Oshiro, and Natsumi Oyamaguchi, Local biquandles and Niebrzydowski's tribracket theory ,
Topology Appl. 258 (2019), 474--512.(査読有)
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, and Kanako Oshiro, Biquandle (co)homology and handlebody-links ,
J. Knot Theory Ramifications 27 (2018), 1843011, 33 pp.(査読有)
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, and Kanako Oshiro, A multiple conjugation biquandle and handlebody-links,
Hiroshima Math. J. 48 (2018), no. 1, 89--117. (査読有)
Kanako Oshiro, Ayaka Shimizu, and Yoshiro Yaguchi, Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II,
J. Knot Theory Ramifications 26 (2017), 1750073, 17 pp. (査読有)
Sam Nelson, Kanako Oshiro, Ayaka Shimizu, and Yoshiro Yaguchi, Biquandle Virtual Brackets,
J. Knot Theory Ramifications (2019),1940003, 22 pp. (査読有)
Atsushi Ishii, Ryo Nikkuni, and Kanako Oshiro, On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links,
Osaka J. Math. 55 (2018), 297--313. (査読有)
Kengo Kawamura, Kanako Oshiro, and Kokoro Tanaka, Independence of Roseman moves including triple points,
Algebr. Geom. Topol. 16 (2016), 2443--2458 (査読有)
石井敦, 大城佳奈子, The products of Alexander invariants and quandle cocycle invariants,
研究集会「結び目の数学VIII」報告集 (2016), 191--200. (報告集)
Kanako Oshiro and Kokoro Tanaka, On rack colorings for surface-knot diagrams without branch points,
Topology Appl. 196 (2015), 921--930. (査読有)
Kanako Oshiro and Shin Satoh, 7-colored 2-knot diagram with six colors,
Hiroshima Math. J. 44 (2014), 63--74. (査読有)
Atsushi Ishii, Masahide Iwakiri, Yeonhee Jang, and Kanako Oshiro, A G-family of quandles and handlebody-knots,
Illinois J. Math. 57 (2013), no. 3, 817–-838. (査読有)
Chuichiro Hayashi, Miwa Hayashi, and Kanako Oshiro, On linear n-colorings for knots,
J. Knot Theory Ramifications 21 (2012), 1250123, 13 pp. (査読有)
Yeonhee Jang and Kanako Oshiro, Symmetric quandle colorings for spatial graphs and handlebody-links,
J. Knot Theory Ramifications 21 (2012), 1250050, 16 pp. (査読有)
Kanako Oshiro, On pallets for Fox-colorings of spatial graphs,
Topology Appl. 159 (2012), 1092--1105. (査読有)
Kanako Oshiro, Homology groups of trivial quandles with good involutions and triple linking numbers of
surface-links,
J. Knot Theory Ramifications 20 (2011), no.4, 595--608. (査読有)
大城佳奈子, 張娟姫, 清水理佳, 鈴木咲衣, Alexander 多項式について,
第４回琵琶湖若手数学者勉強会報告集(2011), 415–439. (報告集)
大城佳奈子, On pallets for coloring invariants of spatial graphs
,
研究集会「結び目の数学III」報告集(2011). (報告集)
Kanako Oshiro, Pallets and coloring invariants for spatial graphs
,
数理解析研究所講究集1766 (2011), 72--80. (報告集)
Kanako Oshiro, Any 7-colorable knot can be colored by four colors,
J. Math. Soc. Japan 62, No. 3 (2010), 963--973. (査読有)
Seiichi Kamada and Kanako Oshiro, Homology groups of symmetric quandles and cocycle invariants of links and surface-links,
Trans. Amer. Math. Soc. 362 (2010), no. 10, 5501--5527. (査読有)
Kanako Oshiro, Triple point numbers of surface-links and symmetric quandle cocycle invariants,
Algebr. Geom. Topol. 10 (2010), 853--865. (査読有)
J. Scott Carter, Kanako Oshiro, and Masahico Saito Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces,
Topology Appl. 157 (2010), 857--869. (査読有)
『Trivial quandles and surface knot invariants』, Knotting Mathematics and
Art: International Conference in Low Dimensional Topology and Mathematical Art, University
of South Florida, USA, 2007年11月．
『Surface knot invariants with symmetric quandles and triple linking numbers』, Winter Workshop 2008 on Low-Dimensional Topology and its Rami cations, 大阪市立大学，2008年2月.
『Symmetric quandle invariants with trivial quandles for surface-links in 4-space』, Conference of Algebraic and Geometric Topology, Gdan'sk University, Poland, 2008年6月.
『Quandle cocycle invariants with trivial quandles and good involutions』, The 2-nd KNU-OCU-PNU Joint Graduate Student Workshop on Mathematics, Pusan National
University, Korea, 2008年7月.
『Surface-links whose triple point numbers are exactly 2n』, Knots in Washington XXVII 3rd Japan-USA Workshop in Knot Theory, George Washington University, USA, 2009年1月.
『Symmetric quandles and minimal triple point numbers of surface-links』, University of South Florida Mathematics and Statistics colloquia, 2009年1月.
『Extensions of quandles』, Winter Workshop 2009 on Low-Dimensional Topology and its Rami cations, 名城大学，2009年3月.
『Symmetric quandle invariants for oriented links 』，Workshop on Topology and Geometry，広島大学, 2009年7月.
『7-colored diagrams with exactly four colors』, The Third Osaka City University OCAMI, Pusan National University BK21, Kyungpook National University BK21 joint Graduate Student Workshop, 大阪市立大学，2009年8月.
『Cocycle invariants with quandles and symmetric doubles for oriented links』，Friday Seminar on Knot Theory，大阪市立大学, 2009年10月.
『Relationship between quandle cocycle invariants and symmetric quandle cocycle invariants for oriented links』, AMS Sectional Meeting Program, University of California Riverside, USA, 2009年11月.
2010
『Extensions of odd order dihedral quandles and an application for surface-links』, The Sixth East Asian School of Knots and Related Topics, Chern Institute of Mathematics, Nankai University, China, 2010年1月.
『Symmetric quandle invariants and its application for triple point numbers of surface-links』，研究集会「４次元トポロジー」，広島大学, 2010年1月.
『カンドルと結び目不変量』，第6回数学総合若手研究集会，北海道大学，2010年2月.
『Invariants of handlebody-links using symmetric quandles』，
Spring Workshop 2010 on Low-Dimensional Topology and its Rami cations, 名城大学，2010年3月. (with Yeonhee Jang)
『Oriented link invariants using symmetric quandles』, 広島大学トポロジー・幾何セミナー，広島大学，2010年4月.
『Symmetric quandle invariants for spatial graphs』, University of South Florida, USA, 2010年6月.
『7-colored surface-knot diagrams with six colors』, Knots in Chicago, University of Illinois at Chicago, USA, 2010年9月.
『On pallets for Fox colorings of spatial graphs』, International Conference Japan-Mexico on Topology and its Applications, University of Colima, Mexico, 2010年10月.
『On pallets for coloring invariants of spatial graphs』, Claremont Topology Seminar, Pomona College, USA, 2010年10月.
『On pallets for coloring invariants of spatial graphs』, 結び目の数学，日本大学，2010年12月.
2011
『A quandle cocycle invariant on a group representation for hadlebody-links I, II』, The Seventh East Asian School of Knots and Related Topics, 広島大学, 2011年1月. (with Atsushi Ishii and Yeonhee Jang)
『Pallets and coloring invariants for spatial graphs』, Intelligence of Low-dimensional Topology, 京都大学, 2011年5月.
『Pallets of quandles』, トポロジーセミナー, 東京工業大学, 2011年6月.
『Minimal number of colors and quandle cocycle invariants of surface-knots』, トポロジーセミナー, 東京女子大学, 2011年6月.
『Pallets of quandles and coloring invariants of spatial graphs』, 第58 回トポロジーシンポジウム, 筑波大学, 2011年8月.
『Minimal number of colors for surface-knots and quandle cocycle invariants』, 琉球結び目セミナー, 那覇市伝統工芸会議場, 2011年9月.
『カンドルと結び目不変量』, 理学セミナー, 日本女子大学, 2011年11月.
『Minimal numbers of colors for surface-knots and quandle cocycle invariants』, 研究集会「4 次元のトポロジー」, 広島大学, 2011年11月.
『Minimal numbers of colors and quandle cocycle invariants
for surface-knots』, Claremont Topology Semina, Pomona College, 2011年12月.
『On rack colorings for surface-knot diagrams without branch points』, The 9th East Asian School of Knots and Related Topics, 東京大学, 2013年1月.
『Linear Alexander quandle colorings and finite-fold branched covers of S^3 branched over knots』, The 5th KOOK-TAPU Joint Seminar on Knots and Related Topics, 大阪市立大学, 2013年7月.
『Conjugation quandles of SL(2;Fq) and quandle colorability for the n-twist-spun trefoil』, International Conference on Topology and Geometry 2013, 島根大学, 2013年9月.
『演習の時間 ―twisted Alexander polynomial の具体的な計算―』, 研究会「ハンドル体結び目とその周辺VI」, 上智大学, 2013年10月.
『Linear Alexander quandle colorings and finite-fold cyclic covers of $S^3$ branched over knots』, AMS Sectional Meeting #1095, University of California, Riverside, USA, 2013年11月.
『Linear Alexander quandle colorings and finite-fold cyclic covers of $S^3$ branched over knots』, Friday Seminar on Knot Theory, 大阪市立大学, 2013年11月.
『Linear Alexander quandle colorings and finite-fold cyclic covers of $S^3$ branched over knots』, Discussion meeting on Knot theory and its applications, IISER Mohali, Punjab, India, 2013年12月.
2014
『On group homomorphisms corresponding to linear Alexander quandle』, Knots and Low Dimensional Manifolds, A satellite conference of Seoul ICM 2014, BEXCO Convention and Exhibition Center II, Busan, Korea, 2014年8月.
『A property of quandle colorings by Alexander quandles of the form $\mathbb Z_p[t]/(t^{k+1}+a_k t^k + \cdots + a_1 t +a_0)$』, Knots, Braids and Topology, IISER Mohali, Punjab, India, 2014年10月.
2015
『On the minimum numbers of colors for knots and surface-knots』, 研究集会『Knots and Manifolds』, 大阪市立大学, 2015年2月.
『An interpretation of finite-degree connected Alexander quandle』, 日本数学会 ２０１５年度年会, 明治大学, 2015年3月.
『On quandles which give a non-trivial coloring for twist-spun trefoils』, AMS Spring Western Sectional Meeting, University of Nevada Las Vegas(アメリカ合衆国), 2015年4月.
『On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surfacelinks』, TAPU Summer School on Knot Theory and Related Topics, Jeju National University International Center(韓国), 2015年9月.
2016
『Twisted quandles and matrix invariants for oriented links』, 2016 Joint Mathematices Meetings, Special Session: Knots in
Washington (State), Washington state convention center(アメリカ合衆国), 2016年1月.
『Symmetric quandle cocycle invariants for oriented links』, 上智大学数学談話会, 上智大学, 2016年4月.
『Up-down colorings of virtual-link diagrams and RII-detectors』, Claremont Topology seminar, Pomona Callege (米国), 2016年11月.
2017
『Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II』, 茨城工業高等専門学校数学セミナー, 茨城工業高等専門学校, 2017年3月.
『Augmented Alexander matrices and
generalizations of twisted Alexander invariants
and quandle cocycle invariants』, Meeting #1128: AMS Spring Western Sectional Meeting, Washington State University, Pullman (米国), 2017年4月.
『Augmented Alexander matrices and
generalizations of twisted Alexander invariants
and quandle cocycle invariants』, 2017 KIAS Research Station Busan
Self-distributive system and quandle (co)homology theory in algebra and
low-dimensional topology, Kolon Seacloud Hotel (韓国), 2017年6月.
『Introduction to biquandle theory』, 研究集会「ハンドル体結び目とその周辺10・Hurwitz action 7」, 筑波大学, 2017年10月.
『Biquandle (co)homology and handlebody-links』, Friday Seminar on Knot Theory, 大阪市立大学, 2017年12月.
2018
『 G-families of quandles, their homology theory and cocycle invarians of handlebody-knots』, Meeting #1135: Joint Mathematics Meetings, San Diego Convention Center, California(米国), 2018年1月.
『 Link invariants obtained from augmented Alexander matrices』, Meeting #1137: AMS Spring Western Sectional Meeting, Portland State University, Oregon(米国), 2018年4月.
『Augmented Alexander matrices and link invariants
』, 上智大学数学談話会, 上智大学, 2018年5月.
『Augmented Alexander matrices and generalizations of twisted Alexander invariants and quandle cocycle invariants I
』, 農工大セミナー, 東京農工大学, 2018年5月.
『Local biquandles and region colorings of link diagrams』, Quandles and Symmetric Spaces, 大阪市立大学, 2018年11月.
2019
『Shadow biquandles and local biquandles』, 日本数学会2019年度年会, 東京工業大学, 2019年3月.
『Calculations of twisted Alexander invariants using $f$-derivatives for
quandles.』, AMS Sectional Meeting #1147: AMS Spring Central and Western Joint Sectional Meeting, Hawaii(米国), 2019年3月.
『Knot-theoretic ternary-quasigroups, local biquandles, and shadow
biquandles』, 筑波大学トポロジーセミナー, 筑波大学, 2019年8月.
『Knot-theoretic ternary quasigroup theory and shadow biquandle theory』, Friday Seminar on Knot Theory, 大阪市立大学, 2019年10月.
『Knot-theoretic ternary-quasigroups, local biquandles, and shadow biquandles』, 東京女子大学トポロジーセミナー, 東京女子大学, 2019年10月.
『Knot-theoretic ternary quasigroup theory and shadow biquandle theory for oriented surface-knots』, Unifying 4-Dimensional Knot Theory, The Banff Centre, Alberta, Canada, 2019年11月.
『Quandle homology theory and quandle cocycle invariants of links』, 研究集会「カンドルと対称空間」,大阪市立大学, 2019年12月.
2020
『Goeritz invariants and Dehn colorings for spatial Euler graphs』, Quantum Topology Seminar, オンライン, 2020年9月.
『A Goeritz invariant of spatial Euler graphs』, 拡大KOOKセミナー２０２０, オンライン, 2020年9月.
『Goeritz matrices and Dehn colorings of spatial graphs』, The first Korean-Russian Conference on Knot Theory and Related Topics, オンライン, 2020年11月.
2021
『Goeritz matrices and Dehn colorings of spatial graphs』, 日本数学会2021年度年会, オンライン, 2021年3月.
『Dehn colorings and vertex-weight invariants for spatial graphs』, Knot and representation theory, Moscow (Russia), オンライン, 2021年7月.
『Goeritz invariants and Dehn colorings of spatial Euler graphs』, Meeting #1165: AMS Fall Southeastern Sectional Meeting (formerly at the University of South Alabama)
Event: Spatial Graphs, IV, オンライン, 2021年11月.
2022
『The minimum number of Dehn colors of knots and R-palette graphs』, The 17th East Asian Conference on Geometric Topology, オンライン, 2022年1月.
『Alexander pairs of quandles and generalizations of twisted Alexander polynomials』, The 17th East Asian Conference on Geometric Topology, オンライン, 2022年1月.