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研究

学術論文、プレプリント、著書、主催した研究集会、講演歴。


学術論文

結び目理論と量子トポロジーの研究。


  1. •On the universal sl2 invariant of ribbon bottom tangles, Algebr. Geom. Topol. 10 (2010), no. 2, 1027-1061. arXiv:0905.1783.

  2. •On the universal sl2 invariant of boundary bottom tangles, Algebr. Geom. Topol. 12 (2012) 997-1057. arXiv:1103.2204.

  3. •On the universal sl2 invariant of Brunnian bottom tangles, Math. Proc. Camb. Phil. Soc.,  154 (2013), no.1, 127-143. arXiv:1111.6310.

  4. •On the colored Jones polynomials of ribbon links, boundary links and Brunnian links, Banach Center Publ. 100 (2014), 213-222. arXiv:1111.6408.

  5. •Bing doubling and the colored Jones polynomial, Internat. J. Math. 25 (2014) 1450074 (25 pages). arXiv:1305.0602.

  6. •(with J.-B. Meilhan) The universal sl2 invariant and Milnor invariants, Internat. J. Math. 27 (2016), no. 11, 1650090 (37pages) . arXiv:1405.3062.

  7. •(with J.-B. Meilhan) Riordan trees and the homotopy sl2 weight system, J. Pure Appl. Algebra. 221 (2017), no. 3, 691-706.  arXiv:1507.04454.

  8. •The universal quantum invariant and colored ideal triangulations. Algebr. Geom. Topol. 18 (2018), 3363-3402. arXiv: 1612.08262.


プレプリント


著書

2つの担当部分は同じ内容です。


  1. •葉廣和夫, 鈴木咲衣, 数学セミナー, 圏論の歩き方シリーズ第三回 ``タングルの圏’’, 2011年10月号.

  2. •圏論の歩き方委員会（編集）, 「圏論の歩き方」, 日本評論社, 2015.



主催した研究集会

  1. •2016/8/8-12

         Workshop on knot theory and related topics -presented by women in mathematics II-[Poster]

         RIMS, Kyoto University

  1. •2016/3/30-31

         Workshop on finite type invariants of 3-manifolds

         The university of Tokyo [sato’s note]

  1. •2014/6/8-10

         Workshop on the universal finite type invariants

         The university of Tokyo, Japan

  1. •2013/11/18-29

         Workshop on knot theory presented by women in mathematics

         University of Zurich, ETH, Switzerland Arkadius Kalka.pdf Vin

  1. •2013/3/11-12

         Workshop on Categorification

         The university of Tokyo, Japan



講演歴

★は英語による講演。


2019

  1. ★2019/11/20

         Pentagon relation, Yang-Baxter equation and Drinfel’d associators

         多重ゼータ値の諸相, RIMS, Kyoto

  1. ★2019/7/11

         Factorizations of the universal R matrix and the universal quantum invariant for framed 3 manifolds,

        Expansions, Lie Algebras, and Invariants, Workshop at CRM, Montreal, Canada

  1. •2019/4/20

         Factorizations of the universal R matrix and the universal quantum invariant for framed 3 manifolds,

         Topology Seminar, Tokyo Woman’s Christian University

  1. ★2019/3/27

         Factorizations of the universal R matrix and the universal quantum invariant for framed 3 manifolds,

         Quantum seminar, Strasbourg university, France


2018

  1. ★2018/12/19

         A reconstruction of the universal quantum invariant using ideal triangulations

         Classical and quantum 3-manifold topology, Monash University, Melbourne, Australia,

  1. ★2018/12/8

         Factorizations of the universal R matrix and the universal quantum invariant for framed 3 manifolds.

         New development of low dimensional topology, Hakone,

  1. ★2018/7/23

         Factorizations of the universal R matrix and the universal quantum invariant for framed 3 manifolds.

         Kyoto Young Topologists Seminar, RIMS

  1. •2018/6/13

         The universal quantum invariant and colored ideal triangulations [slide]

         Topology Seminar, Colloquium, Tokyo Tech


2017

  1. ★2017/12/18

         The universal quantum invariant and colored ideal triangulations [slide]

         Quantum seminar, Strasbourg university, France

  1. ★2017/11/1

         The universal quantum invariant and colored ideal triangulations [slide]

         Topological invariants in low dimensional topology, Shimane University,

  1. ★2017/9/5

         The universal quantum invariant and colored ideal triangulations

        Recent Developments in Operator Algebra, RIMS

  1. •2017/7/11

         The universal quantum invariant and colored ideal triangulations

         Kyoto Operator Algebra Seminar, RIMS

  1. ★2017/6/13

         The universal quantum invariant and colored ideal triangulations

         MS Seminar, IPMU

  1. •2017/4/14

         The universal quantum invariant and colored ideal triangulations

         Geometry Seminar, Nagoya University

  1. ★2017/3/16

         The universal quantum invariant and colored ideal triangulations

         Low dimensional topology and number theory IX

         AiRIMaQ Seminar Room, Innovation Plaza, Fukuoka,

  1. ★2017/2/16

         The universal quantum invariant and colored ideal triangulations

         Seminar on topology and geometry

         University of Geneva, Switzerland

  1. ★2017/2/14

         The universal quantum invariant and colored ideal triangulations

         Topology seminar

         University of Pisa, Italy

  1. ★2017/1/27

         The universal quantum invariant and colored ideal triangulations

         Topology seminar

         Universite Joseph Fourier, Grenoble, France

  1. ★2017/1/26

         The universal quantum invariant and colored ideal triangulations

         Topology seminar

         University of Montpellier, France

  1. ★2017/1/16

         The universal quantum invariant and colored ideal triangulations

         Quantum seminar

         University of Strasbourg, France

  1. •2017/1/6

         The universal quantum invariant and colored ideal triangulations

         表現論セミナー

         RIMS, Kyoto


2016


  1. •2016/10/20

         The universal quantum invariant and colored ideal triangulations

         Topology seminar

         Waseda University

  1. ★2016/8/10

         Construction of quantum g invariant via ideal triangulation

         Workshop on knot theory and related topics -presented by women in mathematicsII-[Poster]

         RIMS, Kyoto University

  1. ★2016/5/31

         Construction of quantum g invariant via ideal triangulation

         PMI Quantum Topology Seminar

         POSTECH, Korea

  1. •2016/5/21

         Construction of quantum g invariant via ideal triangulation

         第８回数論女性の集まり（WINJ9)

         上智大学四谷キャンパス

  1. •2016/4/19

         Construction of quantum g invariant via ideal triangulation

        2015年度白眉年次報告会, poster session

         芝蘭会館

  1. •2016/4/19

         考える原点ー理論と現実の狭間でー

        2015年度白眉年次報告会

         芝蘭会館

  1. ★2016/3/31

         Construction of quantum g invariant via ideal triangulation

        Workshop on finite type invariants of 3-manifolds

         The university of Tokyo, Tokyo


2015

  1. ★2015/11/20

         Quantum invariants of knots

         Topology Seminar

         Leiden University, Holand

  1. ★2015/10/19

         The universal sl2 invariant and Milnor invariants

         Quantum seminar

         University of Strasbourg, France

  1. •2015/5/31

         Quantum invariants and Cyclotomic completion of polynomial rings

         第８回数論女性の集まり（WINJ8）

         上智大学四谷キャンパス


2014

  1. •2014/11/8

         The universal sl2 invariant and Milnor invariants

         N-KOOK Seminar

         大阪市立大学文化交流センター

  1. •2014/11/5

         The universal sl2 invariant and Milnor invariants [slide]

         Colloquium

         RIMS, Kyoto University

  1. ★2014/10/29

         The universal sl2 weight system on the space of tree Jacobi diagrams [slide]

         Topology and Geometry of Low dimensional Manifolds

         Nara International Seminar House

  1. •2014/6/8

         Quantum topology and LMO invariant

         Workshop on the universal finite type invariants

         University of Tokyo

  1. •2014/4/15

         Knots and Quantum topology [slide]

         Hakubi Seminar

         Hakubi Center

  1. ★2014/3/18

         The universal sl2 invariant and Milnor’s invariants [slide]

        Low dimensional topology and number theory VI

         Soft Research Park Center, Fukuoka


2013

  1. •2013/12/21

         The universal sl2 invariant and Milnor’s invariants

         曲面の写像類群に関する幾何と代数

         神奈川県足柄下郡箱根町強羅

  1. ★2013/11/19, 20

         Claspers and the category of cobordisms

         Workshop on knot theory presented by women in mathematics

         Zurich, Switzerland

  1. ★2013/11/18

         Groups and Lie algebras of string links

         Workshop on knot theory presented by women in mathematics

         Zurich, Switzerland

  1. •2013/10/31, 11/1

　　  Introduction on Quantum topology

　　  Seminar on Geometric representation theory and Quantum integrable system

　　  名古屋大学

  1. •2013/8/29

　　  結び目と量子トポロジー

　　  ワークショップ ``Intersection of Pure Mathematics and Applied Mathematics II’’

　　  九州大学

  1. •2013/4/12

　　  The universal sl2 invariant and Milnor’s invariant

         トポロジー金曜セミナー

         九州大学

  1. •2013/3/20
    Bing doubling and the colored Jones polynomial [slide]
    日本数学会2013年度年会
    京都大学

  2. ★2013/3/8
    The universal sl2 invariant and Milnor’s invariant
    Universite Joseph Fourier, Grenoble, France


2012

  1. •2012/12/24

          Bing doubling and the colored Jones polynomial [slide]

          結び目の数学V
          早稲田大学  

  1. ★2012/12/17
    Bing doubling and the colored Jones polynomial [slide]
    Winter Braids III,

         Universite Joseph Fourier, Grenoble, France

  1. •2012/11/6

          Bing doubling and the colored Jones polynomial

          Differential Topology Seminar
          Kyoto University

  1. •2012/7/18

          絡み目と底タングルの量子不変量

          GCOE tea time
          Kyoto University            

  1. •2012/7/6

          Bing doubling and the colored Jones polynomial

          Friday Seminar on Knot Theory
          大阪市立大学 数学研究所

  1. ★2012/6/11

          On the universal $sl_2$ invariant of Brunnian bottom tangles

          Workshop on WKO

          Caen university, Caen, France

  1. ★2012/5/16

          On the universal $sl_2$ invariant of Brunnian bottom tangles

          Intelligence of Low-dimensional Topology

          RIMS, Kyoto university

  1. •2012/3/2
    普遍不変量を用いた絡み目の量子不変量の研究
    第４回京都大学優秀女性研究者賞（たちばな賞）表彰式 
    京都大学 芝蘭会館

  2. ★2012/2/20
    On the universal $sl_2$ invariant of boundary bottom tangles
    第３回GCOE若手数学者交流会 ポスターセッション
    京都大学


2011

  1. •2011/12/25
    On the universal $sl_2$ invariant of Brunnian bottom tangles [slide]
    結び目の数学
    東京女子大学

  2. ★2011/11/4
    On the universal $sl_2$ invariant of bottom tangles [slide]
    Doctorial Forum of Mathematics between Fudan and Kyoto Universities
    Fudan university, China

  3. •2011/6/10
    On the universal $sl_2$ invariant of bottom tangles
    京都表現論セミナー
    京都大学 数理解析研究所

  4. ★2011/5/28
    On the universal $sl_2$ invariant of boundary bottom tangles
    Swiss Knots 2011 poster session [ poster 1, 2 ], Gwatt-Zentrum at the lake of Thun, Switzerland

  5. ★2011/5/20
    On the universal $sl_2$ invariant of bottom tangles
    Universite Joseph Fourier, Grenoble, France


2010

  1. •2010/12/4
    絡み目の量子不変量と底タングルの普遍不変量
    Knots in east Osaka IV
    大阪工業大学　

  2. •2010/11/26
    On the universal $sl_2$ invariant of bottom tangles
    Friday Seminar on Knot Theory
    大阪市立大学 数学研究所　

  3. •2010/11/16
    結び目の量子不変量について
    幾何学セミナー
    名古屋大学

  4. •2010/9/22
    Brunnian底タングルの普遍$sl_2$不変量について
    日本数学会2010年度秋季総合分科会
    名古屋大学 [ アブストラクト ]

  5. ★2010/8/17
    On the universal $sl_2$ invariant of bottom tangles
    University of Zurich

  6. ★2010/8/3
    On the universal $sl_2$ invariant of bottom tangles [slide]
    KNOTS in Poland III
    Bedlewo, Poland

  7. ★2010/7/7
    On the universal $sl_2$ invariant of bottom tangles
    Diagram algebras and related topics
    Okinawa

  8. •2010/6/25
    On the universal $sl_2$ invariant of bottom tangles
    トポロジー金曜セミナー
    九州大学

  9. ★2010/4/20
    On the universal $sl_2$ invariant of bottom tangles
    Quantum groups and quantum topology
    RIMS, Kyoto university  [ 報告書 ]

  10. •2010/3/26
    境界底タングルの普遍$sl_2$不変量について [slide]
    日本数学会2010年度年会
    慶應義塾大学 [ アブストラクト ]

  11. ★2010/2/22-2010/2/23
    On the universal $sl_2$ invariant of ribbon bottom tangles
    第二回GCOE若手数学者交流会 ポスターセッション [ ポスター 1, 2 ]
    京都大学

  12. •2010/2/16
    境界底タングルの普遍$sl_2$不変量（Universal $sl_2$ invariant）について
    第6回数学総合若手研究集会
    北海道大学


2009

  1. •2009/12/23
    境界底タングルの普遍$sl_2$不変量（Universal $sl_2$ invariant）について [slide]
    結び目の数学 II
    早稲田大学 [ 報告書 ]

  2. •2009/11/5
    絡み目の量子不変量と普遍不変量
    GCOE tea time
    京都大学 理学部 数学教室

  3. •2009/10/3
    結び目の量子不変量について
    院生談話会
    大阪市立大学 数学研究所

  4. •2009/9/27
    リボン底タングルの普遍$sl_2$不変量について [slide]
    日本数学会2009年度秋季総合分科会
    大阪大学 [ アブストラクト ]

  5. •2009/7/24
    On the universal $sl_2$ invariant of ribbon bottom tangles
    Friday Semminar on Knot Theory
    大阪市立大学 数学研究所

  6. ★2009/7/1
    On the universal $sl_2$ invariant of ribbon bottom tangles
    Universite Joseph Fourier, Grenoble, France

  7. •2009/6/12
    リボンボトムタングルの普遍$sl_2$不変量について
    講演会
    東京大学大学院数理科学研究科

  8. •2009/6/8
    On the universal $sl_2$ invariant of ribbon bottom tangles
    GCOE Geometry Seminar
    京都大学理学部数学教室

  9. •2009/2/7
    結び目理論
    第6回けいはんなセミナー
    関西学研都市　けいはんなプラザ


2008

  1. •2008/12/23
    リボン底タングルの普遍$sl_2$不変量（Universal $sl_2$ invariant）について
    結び目の数学
    東京女子大学 [ 報告書 ]