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Tange Motoo

Faculty of Pure and Applied Sciences
Official title
Associate Professor
Research fields
Research keywords
Low-dimensional topology
Dehn surgery
Research projects
Reserach of handle decomposition of 4-manifolds and Dehn surgery2017-04 -- 2021-03Motoo Tange日本学術振興会/学術研究助成基金助成金(若手研究(B)4,160,000Yen
ハンドル図式を用いた低次元多様体の研究2014-04 -- 2016-03丹下 基生Japan Society for the Promotion of Science/若手研究(B)2,340,000Yen
4次元の微分構造の骨格と3次元のザイフェルト手術の骨格2012-08 -- 2014-03Motoo Tange日本学術振興会/研究活動スタート支援2,340,000Yen
へーガードフレアホモロジーのデーン手術と葉層構造への応用と量子論的解釈2007 -- 2008丹下基生大阪大学/若手研究(スタートアップ)1,950,000Yen
Career history
2006-06 -- 2007-03Kyoto University Mathematics Department JSPS Reserach fellow
2007-04 -- 2008-04Osaka University 特任研究員
2008-04 -- 2009-03Research Institute for Mathematical Sciences 非常勤研究員
2009-04 -- 2012-03Research Institute for Mathematical Sciences JSPS特別研究員
2012-04 -- 2012-04Research Institute for Mathematical Sciences 特定研究員
2012-05 -- (current)University of Tsukuba 数理物質系数学域 Assistant Professor
Academic societies
2003 -- (current)日本数学会
  • The third term in lens surgery polynomials
    Tange Motoo
    arXiv:2005.09004, 2020-05
  • On the Alexander polynomial of lens space knots
    Tange Motoo
    Topology and its Applications/275, 2020-04
  • Homology spheres with E8-fillings and arbitrarily large correction terms
    Tange Motoo
    arXiv:1811.11831, 2018-11
  • Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots
    Tange Motoo; Li Youlin
    Geometriae Dedicata, 2020-07
  • Boundary-sum irreducible finite order corks
    Tange Motoo
    arXiv:1710.07034, 2017-10
  • Homology spheres yielding lens spaces
    丹下 基生
    Proceedings of Gokova Geometry and Topology Conference 2017, 2018-05
  • Heegaard Floer homology of Matsumoto's manifolds
    Tange Motoo
    ADVANCES IN MATHEMATICS/320/pp.475-499, 2017-11
  • Non-existence theorems on infinite order corks
    Tange Motoo
    arXiv:1609.04344, 2016-09
  • Notes on Gompf's infinite order cork
    Tange Motoo
    arXiv:1609.04345, 2016-09
  • Ribbon disks with the same exterior
    Tange Motoo; Abe Tetsuya
    arXiv:1703.04913, 2017-03
  • Upsilon invariants of L-space cable knots
    Tange Motoo
    arXiv:1703.08828, 2017-03
  • Four dimensional manifolds constructed by lens space surgeries of distinct types
    Tange Motoo; Yamada Yuichi
    Journal of knot theory and its ramifications/26(11), 2017-06
  • Introduction to Heegaard Floer homology (Intelligence of Low-dimensional Topology)
    丹下 基生
    RIMS Kokyuroku/2004/pp.57-76, 2016-07
  • On Nash's 4-sphere and Property 2R
    Tange Motoo
    Turkish Journal of Mathematics/37(2)/p.374, 2013
  • Variations of 4-dimensional twists obtained by an infinite order plug
    Tange Motoo
    arXiv:1508.03092, 2015-08
  • Finite order corks
    Tange Motoo
    International Journal of Mathematics/28(6), 2017-05
  • Non-orientable Genus of a Knot in Punctured CP2
    Sato Kouki; Tange Motoo
    TOKYO JOURNAL OF MATHEMATICS/38(2)/pp.561-574, 2015-12
  • A plug with infinite order and some exotic 4-manifolds
    Tange Motoo
    J. Gökova Geom. Topol./9(1)/p.17, 2015
  • On the non-existence of L-space surgery structure
    Tange Motoo
    Osaka Journal of Mathematics/48(2)/pp.541-547, 2011-04
  • Remarks on lens space surgery
    Tange Motoo
    Kobe Journal of Mathematics/26/pp.47-58, 2009-01
  • Lens spaces given from L-space homology spheres
    Tange Motoo
    Experimental Mathematics/18(3)/pp.119-134, 2009-07
  • Ozsváth-Szabó's correction term and lens surgery
    Tange Motoo
    Mathematical Proceedings of Cambridge Philosophical Society/146(1)/pp.119-134, 2009-01
  • On applications of correction term to lens space
    Tange Motoo
    Intelligence of low dimensional topology 2006/pp.315-322, 2007-05
  • A 2-knot connected-sum and 4-dimensional diffeomorphism
    丹下 基生
    Journal of Mathematics of Kyoto University/46(4)/pp.879-890, 2006-10
  • On the diffeomorphisms for Akbulut's knot concordance surgery
    Tange Motoo
    Journal of knot theory and its ramifications/14(5)/pp.539-564, 2005-08
  • Ozsváth-Szabó's correction term and lens surgery
    Tange Motoo
Conference, etc.
  • Lens space knot polynomials and the genus-2 Heegaard splitting of S3
    Tange Motoo
    Mini-Symposium : Knot Theory on Okinawa/2020-02-17--2020-02-22
  • コルクの性質とその応用
    丹下 基生
    4-diimensional topology and gauge theory/2020-01-27--2020-01-29
  • Handle decompositions for slice disks and moves
    Tange Motoo
    Lefschetz Pencils and Low dimensional Topology/2019-05-31--2019-06-02
  • On ribbon disks in handle decompositions
    Tange Motoo
  • Ribbon disk diagrams in handle decomposition of B4
    Tange Motoo
    2018 Mini-workshp on Low Dimensional Topology/2018-9-15
  • 4-dimensional light bulb theorem by Gabai I
    Tange Motoo
    Differential Topology 19/2019-03-11
  • Handle decompositions for slice disks and moves
    Tange Motoo
    Lefschetz Pencils and Low dimensional Topology/2019-05-31
  • Homology spheres yielding lens spaces
    Tange Motoo
    MIST 2018: Workshop on Topology/2018-03-02
  • On infinite order corks
    Tange Motoo
  • Slice-ribbon conjecture and handle slide
    Tange Motoo
  • Introduction to Heegaard Floer homology
    Tange Motoo
    研究集会 Intelligence of low-dimensional Topology/2016-05-19
  • Infinite order corks
    Tange Motoo
  • Introduction to Heegaard Floer homology
    Tange Motoo
    Differential Topology 17/2017-03-28
  • Upsilon-invariants and Alexander polynomials of torus knots
    Tange Motoo
  • Cork twistings and exotic 4-manifolds
    Tange Motoo
    24th Gokova Geometry and Topology/2017-05-29
  • Cork twist and infinite exotic families
    Tange Motoo
    Conference on 4-manifolds and knot concordance/2016-10-20
  • レンズ空間結び目のアレクサンダー多項式
    丹下 基生
  • L-空間ホモロジー球面内のレンズ空間手術の分類
    丹下 基生
  • Double branched covers and rational 4-ball bounds
    丹下 基生
  • Ribbon disks via handle decompositions of B4
    丹下 基生
  • 有限位数コルクについて
    丹下 基生
  • ある結び目のWhitehead doubleの二重分岐被覆を境界とする有理4球体
    丹下 基生
  • Double branched covers and rational homology balls
    丹下 基生
  • Omae's knot and 12a990 are ribbon
    丹下 基生
  • Annulus twist of a knot and log transform
    丹下 基生
2019-10 -- 2020-02Research in Geometry IAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Geometry IBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Geometry IIAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Geometry IIBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Geometry IBUniversity of Tsukuba.
2019-10 -- 2020-02Problems for Students in Introduction to TopologyUniversity of Tsukuba.
2019-10 -- 2020-02Frontiers of MathematicsUniversity of Tsukuba.
2019-04 -- 2019-08Frontiers of MathematicsUniversity of Tsukuba.
2019-11 -- 2020-02Exercises in Calculus FUniversity of Tsukuba.
2019-04 -- 2019-08Research in Geometry IIAUniversity of Tsukuba.
Other educational activities
2018-06 -- 2018-06筑波大学附属高校研究室訪問
2018-02 -- 2018-02筑波大学附属駒場中学研究室訪問
2014-05 -- (current)数学手習い塾筑波大学
Professional activities
2017-03 -- 2018-02日本数学会地方区代議員
Other activities
2009-10 -- 2009-10雑誌 数理科学 2009年 10月号 「ヒーゴールフレアホモロジー-Heegaard Floer homology」
2019-03 -- 2019-06雑誌 数学セミナー2019年3月号エレガントな解答をもとむ出題 2019年6月号解答と講評
2018-02 -- 2018-05雑誌 数学セミナー2018年2月号エレガントな解答をもとむ出題 2018年5月号解答と講評
2017-01 -- 2017-01雑誌 数学セミナー2017年1月号「モース理論(写像の言葉で幾何を扱う)」
2017-11 -- 2020-06雑誌 数理科学 例題形式で探求する集合・位相連載 2017年11,12月号 2018年2,3,5,6,8,9,11,12月号 2019年2,3,5,6,8,9,11,12月号 2020年2,3,5,7月号

(Last updated: 2020-06-25)