TANGE Motoo
- Affiliation
- Institute of Pure and Applied Sciences
- Official title
- Associate Professor
- ORCID
- 0000-0002-7672-1184
- URL
- Office
- B715
- Research fields
Geometry - Research keywords
Low-dimensional topology Dehn surgery 4-manifolds - Research projects
多様体のハンドル分解やデーン手術に関するある問題解決 2021 -- 2025 丹下 基生 Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C) 3,770,000Yen Reserach of handle decomposition of 4-manifolds and Dehn surgery 2017-04 -- 2021-03 Motoo 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 -- 2014-03 Motoo 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 -- 2007-03 Kyoto UniversityMathematics DepartmentJSPS Reserach fellow 2007-04 -- 2008-04 Osaka University特任研究員 2008-04 -- 2009-03 Research Institute for Mathematical Sciences非常勤研究員 2009-04 -- 2012-03 Research Institute for Mathematical SciencesJSPS特別研究員 2012-04 -- 2012-04 Research 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 - Degree
2006-05-23 博士(理学) 京都大学数学教室 - Academic societies
2003 -- (current) 日本数学会 - Articles
- POCHETTE SURGERY OF 4-SPHERE
Suzuki Tatsumasa; Tange Motoo
PACIFIC JOURNAL OF MATHEMATICS/324(2)/pp.371-398, 2023-06 - Non-existence theorems on infinite order corks
Tange Motoo
ADVANCES IN MATHEMATICS/429, 2023-09-15 - Pochette surgery of S^4
Tange Motoo; Suzuki Tatsumasa
arxiv:2205.06034/pp.1-20, 2022-05 - The third term in lens surgery polynomials
Tange Motoo
Hiroshima Mathematical Journal/51(1)/pp.101-109, 2021-03 - 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
Indiana University Mathematics Journal/70(3)/pp. 985-1002, 2021-08 - Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots
Li Youlin; Tange Motoo
Geometriae Dedicata, 2020-07 - Boundary-sum irreducible finite order corks
Tange Motoo
Kobe Journal of Mathematics/37(1)/pp.19-31, 2020-01 - 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 corks
Tange Motoo
Michigan Mathematical Journal/70(1)/pp.3-21, 2021-03 - Ribbon disks with the same exterior
Abe Tetsuya; Tange Motoo
COMMUNICATIONS IN ANALYSIS AND GEOMETRY/30(2)/pp.257-270, 2022-11 - Upsilon invariants of L-space cable knots
Tange Motoo
TOPOLOGY AND ITS APPLICATIONS/324, 2023-02 - 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 - The E-8-boundings of homology spheres and negative sphere classes in E(1)
Tange Motoo
TOPOLOGY AND ITS APPLICATIONS/202/pp.160-182, 2016-04 - 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 - more...
- POCHETTE SURGERY OF 4-SPHERE
- Books
- 例題形式で探求する集合・位相: 連続写像の織りなすトポロジーの世界
丹下 基生
サイエンス社, 2020-11 - Ozsváth-Szabó's correction term and lens surgery
Tange Motoo
2006-05
- 例題形式で探求する集合・位相: 連続写像の織りなすトポロジーの世界
- Conference, etc.
- コルクの基礎とその応用〜ショートコース〜
丹下 基生
微分トポロジー’24 コルク、微分構造、コンコーダンス/2024-03-26--2024-03-29 - Lens space surgeries on homology spheres of λ = −2, −3
TANGE Motoo
The 19th East Asian Conference on Geometric Topology/2024-02-19--2024-02-22 - Scharlemann manifolds and pochette surgery
Tange Motoo
The 18th East Asian Conference on Geometric Topology/2023-02-06--2023-02-06 - スライスリボン予想とハンドルスライド
丹下 基生
日本数学会年会/2017-03-26 - E8交差形式をもつ4次元多様体とcorrection term
丹下 基生
日本数学会秋季総合分科会/2018-09-24 - Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots
丹下 基生; Li Youlin
日本数学会秋季総合分科会/2019-09-17 - The third term in lens surgery polynomials
丹下 基生
日本数学会年会/2021-03-15 - Pochette surgery on S4
丹下 基生; 鈴木龍正
日本数学会年会/2022-03-30 - Pochette surgery on S4
Tange Motoo
The 17th East Asian Conference on Geometric Topology/2022-01-20 - The third term in lens surgery polynomials
丹下 基生
結び目の数理III/2020-12-23--2020-12-26 - 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
4次元トポロジー/2018-09-09 - 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
日本数学会秋季総合分科会/2016-09-15 - Slice-ribbon conjecture and handle slide
Tange Motoo
日本数学会年会/2017-03-26 - Introduction to Heegaard Floer homology
Tange Motoo
研究集会 Intelligence of low-dimensional Topology/2016-05-19 - Infinite order corks
Tange Motoo
研究集会「4次元トポロジー」/2016-11-27 - Introduction to Heegaard Floer homology
Tange Motoo
Differential Topology 17/2017-03-28 - Upsilon-invariants and Alexander polynomials of torus knots
Tange Motoo
研究集会「結び目の数学IX」/2016-12-20 - Cork twistings and exotic 4-manifolds
Tange Motoo
24th Gokova Geometry and Topology/2017-05-29 - more...
- コルクの基礎とその応用〜ショートコース〜
- Teaching
2024-04 -- 2024-08 Research in Geometry IB University of Tsukuba. 2024-10 -- 2025-02 Research in Geometry IIA University of Tsukuba. 2024-10 -- 2025-02 Research in Geometry IA University of Tsukuba. 2024-04 -- 2024-08 Research in Geometry IIIB University of Tsukuba. 2024-10 -- 2024-12 Calculus 2 University of Tsukuba. 2024-04 -- 2024-08 Seminar on Mathematics University of Tsukuba. 2024-10 -- 2025-02 Seminar on Mathematics University of Tsukuba. 2024-04 -- 2024-08 Geometry I University of Tsukuba. 2024-04 -- 2024-08 Research in Geometry IIIA University of Tsukuba. 2024-10 -- 2024-12 Calculus II University of Tsukuba. more... - Other educational activities
2022-07 -- 2022-07 霞ヶ浦高校 大学模擬授業 霞ヶ浦高校 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 -- 2020-03 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 - University Management
2020-04 -- 2022-03 教育社会連携推進室 教育社会連携推進室室員 - Other activities
2023-02 -- 2023-02 雑誌 数学セミナー2023年2月号エレガントな解答をもとむ出題 2023年5月号解答と講評 2022-02 -- 2022-02 雑誌 数学セミナー2022年2月号エレガントな解答をもとむ出題 2022年5月号解答と講評 2021-02 -- 2021-02 雑誌 数学セミナー2021年2月号エレガントな解答をもとむ出題 2021年5月号解答と講評 2023-01 -- 2023-01 雑誌「数学」のS. Akbulutによる"4-manifolds"の書評執筆 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: 2024-08-23)