SASAHIRA HIROFUMI
Organization
Faculty of Mathematics Division of Algebra and Geometry Professor
Graduate School of Mathematics Department of Mathematics（Concurrent）
School of Sciences Department of Mathematics（Concurrent）
Title
Professor
Profile
I study 4-dimensional manifolds, using gauge theory.
External link
Research Areas
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Natural Science / Geometry
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Natural Science / Geometry
Degree
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Ph.D (mathematical science)
Research History
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Kyushu University Faculty of Mathematics Division of Algebra and Geometry Professor
2016.12 - Present
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Kyushu University 数理学研究院 Associate Professor
2016.12 - 2023.3
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２０１０年名古屋大学 多元数理科学研究科 助教
Education
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The University of Tokyo
- 2007.3
Research Interests・Research Keywords
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Research theme： I study 3 and 4-dimensional topology using gauge theory.
Keyword： Geometry, Topology, Gauge theory
Research period： 2007.4
Papers
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Seiberg-Witten Floer spectra for b_1 > 0 Reviewed International coauthorship
Hirofumi Sasahira
The Memoirs of the European Mathematical Society 17 2025.2 （ ISSN:2747-9080 ISBN:9783985470877, 9783985475872 eISSN:2747-9099 ）
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Unfolded Seiberg-Witten Floer spectra II, Relative invariants and the gluing theorem. Reviewed International journal
Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
Journal of Differential Geometry 124 ( 2 ) 231 - 316 2023.6 （ ISSN:0022040X ）
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Seiberg-Witten Floer stable homotopy type and its applications to corks and the intersection forms of 4-manifolds (New trends of transformation groups)
Sasahira Hirofumi
RIMS Kokyuroku 2231 64 - 69 2022.11 （ ISSN:18802818 ）
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Twisted Donaldson invariants Reviewed International journal
Tsuyoshi Kato, Hirofumi Sasahira, Hang Wang
Mathematical Proceeding of the Cambridge Philosophical Society 2021.2
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Unfolded Seiberg–Witten Floer spectra, I : Definition and invariance Reviewed International journal
Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
Geometry and Topology 22 ( 4 ) 2027 - 2114 2018.4
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Stable cohomotopy Seiberg-Witten invariants of connected sums of four-manifolds with positive first Betti number II: Applications. Reviewed International journal
Masashi Ishida, Hirofumi Sasahira
Communications in Analysis and Geometry 2017.1
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Stable cohomotopy Seiberg-Witten invariants of connected sums of four-manifolds with positive first Betti number, I: non-vanishing theorem. Reviewed International journal
Masashi Ishida, Hirofumi Sasahira
International Journal of Mathematics 2015.4
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Floer homology for 2-torsion instanton invariants Invited Reviewed International journal
Hirofumi Sasahira
Asian Journal of Mathematics 2013.9
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Instanton Floer homology for lens spaces. Invited Reviewed International journal
Hirofumi Sasahira
Mathematische Zeitschrift 2012.3
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An SO(3)-version of 2-torsion instanton invariants. Invited Reviewed International journal
Hirofumi Sasahira
The University of Tokyo. Journal of Mathematical Sciences 2008.1
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Spin structures on Seiberg-Witten moduli spaces. Reviewed International journal
Hirofumi Sasahira
The University of Tokyo. Journal of Mathematical Sciences 2006.1
Books
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サイバーグ-ウィッテン方程式
笹平 裕史（Role：Sole author）
サイエンス社 2024.2
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サイバーグ-ウィッテン方程式 : ホモトピー論的手法を中心に
笹平 裕史
サイエンス社 2024 （ ISBN:9784781915968 ）
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サイバーグ-ウィッテン方程式
Sasahira Hirofumi
サイエンス社 2024
Presentations
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Surgery exact triangle for Seiberg-Witten Floer stable homotopy type International conference
笹平 裕史
Gauge theory in Kyoto 2023.3
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Seiberg-Witten Floer stable homotopy type and its applications to corks and the intersection forms of 4-manifolds
笹平 裕史
変換群論の新潮流 2022.5
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第一Betti数が正の３次元多様体のSeiberg-Witten-Floer安定ホモトピー型とトポロジーへの応用
笹平 裕史
研究集会"４次元トポロジー" 2020.11
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Seiberg-Witten-Floer安定ホモトピー型 Invited
笹平 裕史
幾何学シンポジウム 2019.8
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Seiberg-Witten-Floer stable homotopy type for 3-manifolds with positive first Betti number Invited International conference
笹平 裕史
第1回日独友好幾何学研究集会 2019.9
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Seiberg-Witten equations and topology Invited International conference
笹平 裕史
Geometry, Topology and Dynamics seminar 2019.1
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Twisted Donaldson invariants International conference
笹平 裕史
Spring operator algebra program 2018.4
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Seiberg-Witten方程式とその応用 Invited
笹平 裕史
日本数学会 幾何学分科会特別講演 2018.3
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Analytic construction of spectral section International conference
笹平 裕史
Gauge theory in Fukuoka 2018.2
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ゲージ理論の低次元トポロジーへの応用
笹平 裕史
京都大学 談話会 2017.12
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Twisted Donaldson invariants International conference
笹平 裕史
Advances in non commutative geometry 2017.5
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Unfolded Seiberg-Witten stable homotopy type International conference
笹平 裕史
Australia-Japan Geometry, Analysis and their applications 2017.1
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Seiberg-Witten-Floer 安定ホモトピー型
笹平 裕史
関西ゲージ理論セミナー 2016.3
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Spin structures on Seiberg-Witten moduli spaces International conference
笹平 裕史
The joint Los Angeles topology seminar 2015.4
Professional Memberships
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日本数学会
Academic Activities
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組織委員 International contribution
East Asia conference on gauge theory and related topics （ Japan ） 2018.9
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組織委員 International contribution
Gauge theory in Fukuoka （ Japan ） 2018.2
Research Projects
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Computations and applications of Seiberg-Witten Floer stable homotopy type
Grant number：23K03115 2023 - 2027
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
笹平 裕史
Authorship：Principal investigator Grant type：Scientific research funding
Seiberg-Witten Floer安定ホモトピー型という３次元多様体の不変量の計算手法を開発し、低次元トポロジーや結び目理論への応用を行う予定である。応用として、境界付き４次元多様体のトポロジーへの応用や、Seiberg-Witten Floer安定ホモトピー型と結目理論の不変量であるKhovanovホモトピーとの関連を研究していく予定である。
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Grant number：19K03493 2019 - 2022
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Sasahira Hirofumi
Authorship：Principal investigator Grant type：Scientific research funding
I studied the Seiberg-Witten Floer stable homotopy type which is an invariant of closed 3-manifolds. The invariant had been defined only for 3-manifolds with first Betti number zero and computed only for a few types of Seifert fibered spaces. I have studied to extend the invariant to a class of 3-manifolds and to establish a way to compute for more 3-manifolds.
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Floer 理論のホモトピー論的研究とその応用
2016 - 2019
Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists(A)or(B)
Authorship：Principal investigator Grant type：Scientific research funding
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精密化されたゲージ理論的不変量の研究
2013 - 2015
Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists(A)or(B)
Authorship：Principal investigator Grant type：Scientific research funding
Educational Activities
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I have lectures and seminars on geometry.
Class subject
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数学III
2025.4 - 2025.7 First semester
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微分積分学Ⅱ
2023.10 - 2024.3 Second semester
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幾何学Ⅲ
2023.10 - 2024.3 Second semester
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コアセミナーⅡ
2023.10 - 2024.3 Second semester
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数学入門
2023.10 - 2024.3 Second semester
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微分積分学Ⅰ
2023.4 - 2023.9 First semester
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数理科学特別講義XⅢ
2022.10 - 2023.3 Second semester
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微分幾何学基礎・演習
2022.10 - 2023.3 Second semester
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数理科学特論１３
2022.10 - 2023.3 Second semester
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コアセミナーⅡ
2022.10 - 2023.3 Second semester
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数学入門
2022.10 - 2023.3 Second semester
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応用複素関数論
2022.4 - 2022.9 First semester
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入門線形代数Ⅱ
2021.6 - 2021.8 Summer quarter
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入門線形代数Ⅱ
2021.6 - 2021.8 Summer quarter
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応用複素関数論
2021.4 - 2021.9 First semester
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入門線形代数Ⅰ
2021.4 - 2021.6 Spring quarter
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入門線形代数Ⅰ
2021.4 - 2021.6 Spring quarter
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線形代数学・同演習Ｂ
2020.10 - 2021.3 Second semester
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微分積分学・同演習Ｂ
2020.10 - 2021.3 Second semester
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線形代数学・同演習Ａ
2020.4 - 2020.9 First semester
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微分積分学・同演習Ａ
2020.4 - 2020.9 First semester
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応用複素関数論
2020.4 - 2020.9 First semester
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位相幾何学基礎・演習
2019.10 - 2020.3 Second semester
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線形代数学・同演習Ｂ
2019.10 - 2020.3 Second semester
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微分幾何学大意
2019.4 - 2019.9 First semester
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微分幾何学大意
2019.4 - 2019.9 First semester
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線形代数学・同演習Ａ
2019.4 - 2019.9 First semester
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数学特論４
2019.4 - 2019.9 First semester
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幾何学Ⅰ・演習
2019.4 - 2019.9 First semester
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位相幾何学基礎・演習
2018.10 - 2019.3 Second semester
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線形代数学・同演習Ｂ
2018.10 - 2019.3 Second semester
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微分積分学・同演習Ⅱ
2018.10 - 2019.3 Second semester
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微分幾何学大意
2018.4 - 2018.9 First semester
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微分幾何学大意
2018.4 - 2018.9 First semester
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線形代数学・同演習Ａ
2018.4 - 2018.9 First semester
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微分積分学・同演習Ⅰ
2018.4 - 2018.9 First semester
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幾何学Ⅰ・演習
2018.4 - 2018.9 First semester
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数学特論４
2018.4 - 2018.9 First semester
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数理科学特別講義Ⅶ
2017.10 - 2018.3 Second semester
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線形代数学･同演習B
2017.10 - 2018.3 Second semester
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微分積分学･同演習Ⅱ
2017.10 - 2018.3 Second semester
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線形代数学･同演習B
2017.10 - 2018.3 Second semester
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線形代数学･同演習A
2017.4 - 2017.9 First semester
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微分積分学･同演習Ⅰ
2017.4 - 2017.9 First semester
Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.
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2024 鹿児島大学 Classification:Part-time lecturer Domestic/International Classification:Japan
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2017 京都大学 Classification:Intensive course
Outline of Social Contribution and International Cooperation activities
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I gave public lectures on geometry. And I organized international conferences on gauge theory.
Social Activities
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オープンキャンパスで模擬講義を行なった
九州大学オープンキャンパス 2019.8
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オイラー数とトポロジーという題目で講義した.
九州大学 九州大学 西新プラザ 2017.8
Travel Abroad
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2014.11 - 2014.12
Staying countory name 1：Germany Staying institution name 1：マックスプランク研究所
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2012.8 - 2013.7
Staying countory name 1：United States Staying institution name 1：ハーバード大学