Faculty Profiles - HAMADA NORIYUKI

Information

写真a

HAMADA NORIYUKI

Organization

Institute of Mathematics for Industry Division of Fundamental mathematics 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。

Homepage

https://kyushu-u.elsevierpure.com/ja/persons/noriyuki-hamada
研究者プロファイリングツール　九州大学Pure

External link

Research Areas

Natural Science / Geometry

Degree

PhD (Mathematical Science) (Kyushu University)

Research History

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

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Country：Japan

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University of Massachusetts Amherst Department of Mathematics and Statistics Visiting Assistant Professor

2017.9 - 2022.8

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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

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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

Research theme： 4-manifolds

Keyword： 4-manifolds

Research period： 2024
Research theme： Symplectic topology

Keyword： Symplectic topology

Research period： 2024
Research theme： Low-dimensional topology

Keyword： Low-dimensional topology

Research period： 2024
Research theme： Mapping class groups of surfaces

Keyword： Mapping class groups of surfaces

Research period： 2024
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
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
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
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
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

Lefschetz fibrations with arbitrary signature Reviewed International coauthorship International journal

R. İnanç Baykur, Noriyuki Hamada

Journal of the European Mathematical Society 26 ( 8 ) 2837 - 2895 2024.6 （ ISSN:1435-9855 eISSN:1435-9863 ）

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Language：English Publishing type：Research paper (scientific journal) Publisher：European Mathematical Society - EMS - Publishing House GmbH

4次元トポロジーにおいて，レフシェッツファイブレーション構造をもつ4次元多様体の符号数は任意の値をとりうることを示した．応用として符号数0のエキゾチック4次元多様体の新たな例を体系的に構成した．

DOI： 10.4171/jems/1326

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Repository Public URL： https://hdl.handle.net/2324/7183034
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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Language：English Publishing type：Research paper (scientific journal)

DOI： 10.3906/mat-2008-88

Repository Public URL： https://hdl.handle.net/2324/7183031
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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Language：English Publishing type：Research paper (scientific journal)

© 2018, Mathematical Sciences Publishers. All rights reserved. We discuss topological properties of holomorphic Lefschetz pencils on the four-torus. Relying on the theory of moduli spaces of polarized abelian surfaces, we first prove that, under some mild assumptions, the (smooth) isomorphism class of a holomorphic Lefschetz pencil on the four-torus is uniquely determined by its genus and divisibility. We then explicitly give a system of vanishing cycles of the genus-3 holomorphic Lefschetz pencil on the four-torus due to Smith, and obtain those of holomorphic pencils with higher genera by taking finite unbranched coverings. One can also obtain the monodromy factorization associated with Smith’s pencil in a combinatorial way. This construction allows us to generalize Smith’s pencil to higher genera, which is a good source of pencils on the (topological) four-torus. As another application of the combinatorial construction, for any torus bundle over the torus with a section we construct a genus-3 Lefschetz pencil whose total space is homeomorphic to that of the given bundle.

DOI： 10.2140/agt.2018.18.1515

Repository Public URL： https://hdl.handle.net/2324/7183035
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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Language：English Publishing type：Research paper (scientific journal)

© 2019 Mathematical Sciences Publishers. We construct two types of nonholomorphic Lefschetz fibrations over S 2 with (-1)-sections-hence, they are fiber sum indecomposable-by giving the corresponding positive relators. One type of the two does not satisfy the slope inequality (a necessary condition for a fibration to be holomorphic) and has a simply connected total space, and the other has a total space that cannot admit any complex structure in the first place. These give an alternative existence proof for nonholomorphic Lefschetz pencils without Donaldson's theorem.

DOI： 10.2140/pjm.2019.298.375

Repository Public URL： https://hdl.handle.net/2324/7183029
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

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Language：English Publishing type：Research paper (scientific journal)

In this paper, we give some relations i. The mapping class groups of oriented closed surfaces i. The form that a product of a small number of right-hand Dehn twists is equal to a single commutator. Consequently, we find upper bounds fo. The minimal number of singular fibers in a Lefschetz fibration ove. The torus.

DOI： 10.1307/mmj/1401973051

Repository Public URL： https://hdl.handle.net/2324/7183027

Presentations

Exotic 4-manifolds with signature zero via mapping class group relations Invited

Noriyuki Hamada

Conference on “Topology related to Riemann surfaces” 2024.9 河澄響矢(東大数理), 田所勇樹(木更津高専), 久野雄介(津田塾大学), 佐藤正寿(東京電機大学)

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Event date： 2024.9

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：東京大学大学院数理科学研究科大講義室 Country：Japan

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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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Event date： 2024.2

Language：English Presentation type：Oral presentation (keynote)

Venue：RIMS, Kyoto University, Japan Country：Japan

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Signatures of Lefschetz fibrations and symplectic geography Invited International conference

Noriyuki Hamada

BOSTON UNIVERSITY/KEIO UNIVERSITY/TSINGHUA UNIVERSITY WORKSHOP 2022 Geometry and Mathematical Physics 2022.6

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Event date： 2022.6 - 2022.7

Language：English Presentation type：Oral presentation (invited, special)

Venue：Boston University (Hybrid) Country：United States

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符号数0のシンプレクティック4次元多様体

浜田法行

さくらセミナー2025 2025.3

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Event date： 2025.3

Language：Japanese Presentation type：Oral presentation (general)

Venue：鹿児島大学理学部１号館１０１ Country：Japan

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TBA Invited

浜田法行

研究集会「接触構造、特異点、微分方程式及びその周辺」 2025.1 世話人：大場貴裕 (大阪大学)、小川竜 (東海大学)、門上晃久 (金沢大学)、森淳秀 (大阪歯科大学)

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Event date： 2025.1

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：金沢大学駅前サテライト 3階 Country：Japan

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Exotic 4-manifolds via fibration structures Invited

Noriyuki Hamada

Geometry and Topology 2024 2024.10 組織委員池祐一, 笹平裕史（九州大学）

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Event date： 2024.10

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：九州大学数理学研究院 W1-D-413 (ウエスト１号館D棟４階) Country：Japan

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Exotic 4-manifolds with signature zero Invited

浜田法行

Algebraic Geometry, Topology, Combinatorics and Related Topics 2024 2024.3

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Event date： 2024.3

Language：Japanese Presentation type：Oral presentation (general)

Venue：大阪大学理学部 Country：Japan
Exotic 4-manifolds with signature zero Invited

Noriyuki Hamada

Algebraic Geometry, Topology, Combinatorics and Related Topics 2024 2024.3 協力（Scientific Committee）：石川昌治（慶応大学），佐伯修（九州大学），作間誠（広島大学），島田伊知朗（広島大学），徳永浩雄（都立大学）世話人：白根竹人（徳島大学），坂内真三（岡山理科大学），吉永正彦（大阪大学）

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Event date： 2024.3

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：大阪大学理学部 E棟 404（豊中キャンパス） Country：Japan

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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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Event date： 2024.2

Language：English Presentation type：Oral presentation (general)

Venue：RIMS, Kyoto University Country：Japan
Exotic 4-manifolds with signature zero via Lefschetz fibrations

浜田法行

研究集会「４次元トポロジー」 2023.11

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Event date： 2023.11

Language：Japanese Presentation type：Oral presentation (general)

Venue：大阪大学理学研究科 Country：Japan
Exotic 4-manifolds with signature zero via Lefschetz fibrations

Noriyuki Hamada

Four Dimensional Topology 2023.11 世話人：鎌田聖一、安井弘一、大場貴裕組織委員：上正明、鎌田聖一、河内明夫、古田幹雄、松本幸夫

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Event date： 2023.11

Language：Japanese Presentation type：Oral presentation (general)

Venue：大阪大学理学研究科 E棟4階 E404教室 Country：Japan

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Lefschetz fibrations and exotic 4-manifolds with signature zero

浜田法行

九州大学トポロジー金曜セミナー 2023.10

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Event date： 2023.10

Language：Japanese Presentation type：Oral presentation (general)

Venue：九州大学 Country：Japan
Lefschetz fibrations and pencils with signature zero

Noriyuki Hamada

Manifolds and Singularities 2022.5 世話人: 奥田喬之（工学院大学）, 浜田法行（マサチューセッツ大学アマースト校）, 溝田裕介（九州産業大学）, 山本稔（弘前大学）

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Event date： 2022.5

Language：Japanese Presentation type：Oral presentation (general)

Venue：Zoomでのオンライン配信 Country：Japan

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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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Language：Japanese Presentation type：Public lecture, seminar, tutorial, course, or other speech

Venue：九州大学数理学研究院 Country：Japan

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Signatures of Lefschetz fibrations and symplectic geography Invited

Noriyuki Hamada

Geometry Colloquium, Hokkaido University 2022.10

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Language：Japanese Presentation type：Public lecture, seminar, tutorial, course, or other speech

Venue：北海道大学理学部 Country：Japan

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Exotic 4-manifolds with signature zero Invited

Noriyuki Hamada

Tuesday Seminar on Topology, University of Tokyo 2024.5 河澄響矢, 北山貴裕, 逆井卓也, 葉廣和夫

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Language：Japanese Presentation type：Public lecture, seminar, tutorial, course, or other speech

Venue：東京大学数理科学研究科（オンライン開催） Country：Japan

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MISC

Exotic 4-manifolds with signature zero

R. Inanc Baykur, Noriyuki Hamada

2023.5

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We produce infinitely many distinct irreducible smooth 4-manifolds
homeomorphic to #(2m+1)(CP^2 # -CP^2) and #(2n+1)(S^2 x S^2), respectively, for
each m>3 and n>4. These provide the smallest exotic closed simply-connected
4-manifolds with signature zero known to date, and in each one of these
homeomorphism classes, we get minimal symplectic 4-manifolds. Our novel exotic
4-manifolds are derived from fairly special small Lefschetz fibrations we build
via positive factorizations in the mapping class group, with spin and non-spin
monodromies, and we explain how such models can be employed effectively in
general to construct symplectic 4-manifolds with trivial or cyclic fundamental
groups.

arXiv

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Other Link： http://arxiv.org/pdf/2305.10908v1
Exotic 4-manifolds with signature zero via mapping class group relations Invited

Noriyuki Hamada

リーマン面に関連する位相幾何学 2024 予稿集 100 - 105 2024.9

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Language：Japanese Publishing type：Lecture material (seminar, tutorial, course, lecture, etc.)

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Professional Memberships

The Mathematical Society of Japan

2013.4 - Present

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Committee Memberships

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

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Academic Activities

17th International Workshop on Real and Complex Singularities

Role(s)： Planning, management, etc.

（ Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus São Carlos ） 2022.7

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Type：Academic society, research group, etc.

Served as a member of the Organizing Committee.

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Manifolds and Singularities

Role(s)： Planning, management, etc.

奥田喬之, 浜田法行, 溝田裕介, 山本稔 2022.5

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Type：Academic society, research group, etc.

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The Journal of the London Mathematical Society International contribution

Role(s)： Peer review

2018

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Type：Peer review

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Contemporary Mathematics International contribution

Role(s)： Peer review

2015

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Type：Peer review

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Research Projects

写像類群を用いたシンプレクティック4次元多様体の構成ー非負符号数の領域の開拓ー

Grant number：25K06980 2025.4 - 2030.3

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

浜田法行

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Grant type：Scientific research funding

Class subject

フーリエ解析と偏微分方程式

2023.10 - 2024.3 Second semester
フーリエ・ラプラス変換と偏微分方程式

2023.10 - 2024.3 Second semester
複素関数論

2023.10 - 2024.3 Second semester
複素関数論（機械Bクラス・航空宇宙）

2023.10 - 2024.3 Second semester

FD Participation

2024.7 Role：Participation Title：数理学府FD

Organizer：[Undergraduate school/graduate school/graduate faculty]
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
2024.4 Role：Participation Title：数理学府ＦＤ

Organizer：[Undergraduate school/graduate school/graduate faculty]
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
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

2017.9 - 2022.8

Staying countory name 1：United States Staying institution name 1：University of Massachusetts Amherst
2012.7 - 2012.12

Staying countory name 1：United States Staying institution name 1：Michigan State University