HAMADA NORIYUKI
Organization
Institute of Mathematics for Industry Division of Fundamental mathematics Assistant Professor
Title
Assistant Professor
Contact information
Profile
曲面の写像類群を用いて、4次元多様体のトポロジーを研究しています。4次元の空間を直接取り扱うことは難しいですが、シンプレクティック4次元多様体などの良いクラスは「曲面の族」として理解できることが知られています。さらに、こうした族は曲面の写像類群の言葉で簡潔に表現できます。このように、4次元多様体という抽象的な空間を、曲面という我々の直感が働く空間を通して研究しています。初等的な議論で様々な4次元多様体を構成できるため、位相不変量などに何か制限を与えたときにそれを満たすような4次元多様体が存在するかといった問題に主に取り組んでいます。
External link
Research Areas
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Natural Science / Geometry
Degree
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PhD (Mathematical Science) (Kyushu University)
Research History
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Kyushu University Institute of Mathematics for Industry Project Assistant Professor
2023.8 - Present
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Keio University Faculty of Science and Technology Department of Mathematics Project Assistant Professor
2022.10 - 2023.7
Country：Japan
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University of Massachusetts Amherst Department of Mathematics and Statistics Visiting Assistant Professor
2017.9 - 2022.8
Country：United States
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Hokkaido University Global Institution for Collaborative Research and Education (GI-CoRE), Collaborative Center for Big data and IoT (CCB) Assistant Professor
2021.4 - 2022.8
Country：Japan
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九州大学：2012年4月～2013年9月 東京大学：2013年10月～2017年8月 University of Massachusetts Amherst：2017年9月～2022年8月 慶應義塾大学：2022年10月～2023年7月
Research Interests・Research Keywords
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Research theme：4-manifolds
Keyword：4-manifolds
Research period： 2024
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Research theme：Symplectic topology
Keyword：Symplectic topology
Research period： 2024
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Research theme：Low-dimensional topology
Keyword：Low-dimensional topology
Research period： 2024
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Research theme：Mapping class groups of surfaces
Keyword：Mapping class groups of surfaces
Research period： 2024
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Research theme：Study of Lefschetz pencils on symplectic Calabi-Yau 4-manifolds
Keyword：Lefschetz Pencils, Mapping Class Groups, Symplectic Topology
Research period： 2023.8 - 2024.3
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Research theme：Construction of exotic 4-manifolds via Lefschetz fibrations and pencils
Keyword：Lefschetz Fibrations, Lefschetz Pencils, Mapping Class Groups, Symplectic Topology, Exotic 4-manifolds
Research period： 2023.8 - 2024.3
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Research theme：Study of sections of Lefschetz fibrations over the sphere
Keyword：Lefschetz Fibrations, Lefschetz Pencils, Mapping Class Groups, Symplectic Topology
Research period： 2023.8 - 2024.3
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Research theme：Realization problem of signatures of Lefschetz fibrations over the sphere
Keyword：Lefschetz Fibrations, Mapping Class Groups, Symplectic Topology, 4-manifolds, Signature
Research period： 2023.8 - 2024.3
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Research theme：Topological construction of Lefschetz pencils on the complex projective plane
Keyword：Lefschetz Pencils, Mapping Class Groups, Symplectic Topology, Algebraic Surfaces
Research period： 2023.8 - 2024.3
Papers
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Lefschetz fibrations with arbitrary signature Reviewed International journal
R. İnanç Baykur, Noriyuki Hamada
Journal of the European Mathematical Society 26 ( 8 ) 2837 - 2895 2023.3 （ ISSN:1435-9855 eISSN:1435-9863 ）
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Classification of genus-1 holomorphic Lefschetz pencils Reviewed International journal
Noriyuki HAMADA, Kenta HAYANO
TURKISH JOURNAL OF MATHEMATICS 45 ( 3 ) 1079 - 1119 2021.5
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Topology of holomorphic Lefschetz pencils on the four-torus Reviewed
Noriyuki Hamada, Kenta Hayano
Algebraic and Geometric Topology 18 ( 3 ) 1515 - 1572 2018.4
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Nonholomorphic Lefschetz fibrations with (-1)-sections Reviewed International journal
Noriyuki Hamada, Ryoma Kobayashi, Naoyuki Monden
Pacific Journal of Mathematics 298 ( 2 ) 375 - 398 2019.3
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Upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus Reviewed International journal
Noriyuki Hamada
Michigan Mathematical Journal 63 ( 2 ) 275 - 291 2014.6
Presentations
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Exotic 4-manifolds with signature zero via mapping class group relations Invited
Noriyuki Hamada
Conference on “Topology related to Riemann surfaces” 2024.9
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Exotic 4-manifolds with signature zero
Noriyuki Hamada
The 19th East Asian Conference on Geometric Topology 2024.2
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Signatures of Lefschetz fibrations and symplectic geography Invited
Noriyuki Hamada
BOSTON UNIVERSITY/KEIO UNIVERSITY/TSINGHUA UNIVERSITY WORKSHOP 2022 Geometry and Mathematical Physics 2022.6
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TBA Invited
研究集会「接触構造、特異点、微分方程式及びその周辺」
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Exotic 4-manifolds via fibration structures Invited
Noriyuki Hamada
Geometry and Topology 2024 2024.10
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Exotic 4-manifolds with signature zero Invited
Algebraic Geometry, Topology, Combinatorics and Related Topics 2024 2024.3
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Exotic 4-manifolds with signature zero Invited
Noriyuki Hamada
Algebraic Geometry, Topology, Combinatorics and Related Topics 2024 2024.3
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Exotic 4-manifolds with signature zero International conference
Noriyuki Hamada
The 19th East Asian Conference on Geometric Topology 2024.2
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Exotic 4-manifolds with signature zero via Lefschetz fibrations
2023.11
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Exotic 4-manifolds with signature zero via Lefschetz fibrations
Noriyuki Hamada
Four Dimensional Topology 2023.11
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Lefschetz fibrations and exotic 4-manifolds with signature zero
2023.10
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Lefschetz fibrations and pencils with signature zero
Noriyuki Hamada
Manifolds and Singularities 2022.5
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Lefschetz fibrations and exotic 4-manifolds with signature zero Invited
Noriyuki Hamada
Topology Friday Seminar, Kyushu University 2023.10
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Signatures of Lefschetz fibrations and symplectic geography Invited
Noriyuki Hamada
Geometry Colloquium, Hokkaido University 2022.10
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Exotic 4-manifolds with signature zero Invited
Noriyuki Hamada
Tuesday Seminar on Topology, University of Tokyo 2024.5
MISC
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Exotic 4-manifolds with signature zero
R. Inanc Baykur, Noriyuki Hamada
2023.5
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Exotic 4-manifolds with signature zero via mapping class group relations Invited
Noriyuki Hamada
100 - 105 2024.9
Professional Memberships
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The Mathematical Society of Japan
2013.4 - Present
Committee Memberships
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Topology Friday Seminar, Kyushu University Organizer
2023.11 - Present
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17th International Workshop on Real and Complex Singularities Organizing Committee
2021.10 - 2022.7
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Geometry and Topology Seminar, University of Massachusetts Amherst Organizer
2018.9 - 2022.8
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Manifolds and Singularities Organizing Committee
2021.10 - 2022.5
Class subject
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フーリエ解析と偏微分方程式
2023.10 - 2024.3 Second semester
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フーリエ・ラプラス変換と偏微分方程式
2023.10 - 2024.3 Second semester
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複素関数論
2023.10 - 2024.3 Second semester
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複素関数論（機械Bクラス・航空宇宙）
2023.10 - 2024.3 Second semester
FD Participation
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2024.4 Role：Participation Title：令和６年度 第１回全学FD（新任教員の研修）The 1st All-University FD (training for new faculty members) in FY2024
Organizer：University-wide
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2024.4 Role：Participation Title：数理学府ＦＤ
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2024.4 Role：Participation Title：令和６年度 第１回全学FD（新任教員の研修）The 1st All-University FD (training for new faculty members) in FY2024
Organizer：University-wide
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2024.3 Role：Participation Title：【オンデマンド開催】大学教職員職能開発FD 「⽣成AIを大学の教育・学習・業務にどのように組み込むか？-第一弾 生成AIを使った授業デザイン支援のアイデア-」
Travel Abroad
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2017.9 - 2022.8
Staying countory name 1：United States Staying institution name 1：University of Massachusetts Amherst
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2012.7 - 2012.12
Staying countory name 1：United States Staying institution name 1：Michigan State University