Organization
Integrated Center for Science and Humanities Mathematics, Information and Statistical Science Area Professor
Title
Professor
NAKAMURA Nobuhiro
Degree
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理学博士 ( 2006.7 京都大学 )
Research Interests
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Gauge theory
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Topology
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4次元多様体
Research Areas
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Natural Science / Geometry
Education
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Kyoto University Graduate School, Division of Natural Science
- 2006.3
Country： Japan
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The University of Tokyo Graduate School, Division of Mathematical Sciences
- 1997.3
Country： Japan
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The University of Tokyo Faculty of Science
- 1995.3
Country： Japan
Research History
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Fukushima Medical University Fukushima Medical University Integrated Center for Science and Humanities Professor
2022.4 - Now
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Fukushima Medical University School of Medicine (Human and Natural Sciences) Department of Natural Sciences (The Section of Mathematics and Informatics) Professor
2022.4 - 2023.3
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大坂医科薬科大学医学部講師
2015.8 - 2022.3
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学習院大学理学部数学科助教
2012.4 - 2015.7
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東京大学大学院数理科学研究科特任助教
2011.4 - 2012.3
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東京大学大学院数理科学研究科特任研究員
2006.8 - 2011.3
Professional Memberships
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日本数学会
2012.4 - Now
Papers
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The simple type conjecture for mod 2 Seiberg–Witten invariants
Tsuyoshi Kato, Nobuhiro Nakamura, Kouichi Yasui
Journal of the European Mathematical Society 25 ( 12 ) 4849 - 4877 2022.11（ ISSN:14359855 ）
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Tsuyoshi Kato, Hokuto Konno, Nobuhiro Nakamura
Compositio Mathematica 157 ( 4 ) 770 - 808 2021（ ISSN:0010-437X ）
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Pin−(2)-monopole invariants
Nakamura N.
J. Differential Geom. 101 ( 3 ) 507 - 549 2015.10
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Pin−(2)-monopole equations and intersection forms with local coefficients of 4-manifolds
Nakamura N.
Math. Ann. 357 915 - 939 2013.3
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Smoothability of Z×Z-actions on 4-manifolds
Nakamura N.
Proc. Amer. Math. Soc. 138 2973 - 2978 2010.3
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Bauer-Furuta invariants under Z2-actions
Nakamura N.
Math. Z 262 219 - 233 2008.5
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Nonsmoothable group actions on elliptic surfaces
Liu X., Nakamura N.
Topology Appl. 155 ( 9 ) 946 - 964 2008.4
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Pseudofree Z/3-actions on K3 surfaces
Liu X., Nakamura N.
Proc. Amer. Math. Soc. 135 903 - 910 2006.8
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Mod p vanishing theorem of Seiberg-Witten invariants for 4-manifolds with Zp-actions
Nakamura N.
Asian J. Math. 10 ( 4 ) 731 - 748 2006.1
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The Seiberg-Witten equations for families and diffeomorphisms of 4-manifolds
Nakamura N.
Asian J. Math. 7 ( 1 ) 133 - 138 2003.1
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A note on exotic families of 4-manifolds
Tsuyoshi Kato, Hokuto Konno, Nobuhiro Nakamura
Proceedings of the American Mathematical Society 151 ( 6 ) 2695 - 2705 2023.6（ ISSN:00029939 ）
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Constraints on families of smooth 4–manifolds from Pin−(2)–monopole
Hokuto Konno, Nobuhiro Nakamura
Algebraic & Geometric Topology 23 ( 1 ) 419 - 438 2023（ ISSN:14722747 ）
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Real structures and the Pin-(2)-monopole equations,
Nakamura N.
Internat. J. Math 31 ( 14 ) 2020.12
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Yamabe Invariants and the Pin-(2)-monopole Equations
Ishida M., Matsuo S., Nakamura N.
Math. Res. Lett. 23 ( 4 ) 1049 - 1069 2016.9
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Mod p equality theorem for Seiberg-Witten invariants under Zp-actions
Nakamura N.
Tokyo J. of Math. 37 ( 1 ) 21 - 29 2014.7
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A free Zp-action and the Seiberg-Witten invariants
Nakamura N.
J. Korean Math. Soc. 39 ( 1 ) 103 - 117 2002.1
Presentations
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Geometric Analysis in Geometry and Topology 2016.12
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第63回幾何学シンポジウム 2016.8
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Pin−(2)-monopole equations and applications
2013 SNU/KIAS Topology Winter School 2012.12
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日本数学会2011年度秋季総合分科会 2011.9
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Bauer-Furuta invariants and a non-smoothable involution on K3#K3
第54回トポロジーシンポジウム 2007.8
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Conjectures on inequalities of 10/8-type
Special Workshop in Gauge Theory 2024.1
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Upper bounds for virtual dimensions of Seiberg-Witten moduli spaces
Gauge Theory in Kyoto 2023.3
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Families Seiberg-Witten invariants and topology of spin families of 4-manifolds
4-dimensional Topology and Gauge Theory 2020.1
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Real structures and the Pin−(2)-monopole equations
Gauge Theory in Fukuoka 2018.2
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Recent development of Seiberg-Witten Floer theory
Casson不変量に関わる3次元多様体の不変量」 2017.1
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Pin(2) 同変 Seiberg-Witten Floer K 理論と境界付き4次元スピン多様体の交叉形式
微分トポロジー16 2016.3
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Pin−(2)-monopole equations and Yamabe invariants
研究集会4次元トポロジー 2014.11
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Pin−(2)-monopole invariants and its applications
研究集会4次元トポロジー 2012.11
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Smoothability of Z×Z-actions on 4-manifolds
研究集会「４次元トポロジー」 2010.1
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Edmonds-Ewing の理論：Freedman 理論の群作用への応用
キャッソン・フリードマン理論 研究会 2009.10
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Nonsmoothable involutions on K3 and K3#K3
研究集会「４次元トポロジー」 2009.1
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Nonsmoothable group actions in dimension 4
第34回変換群論シンポジウム 2007.11
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The Seiberg-Witten equations for families and diffeomorphisms of 4-manifolds
研究集会：「低次元幾何学と無限次元幾何学」 2007.9
Research Projects
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ゲージ理論と微分トポロジーの諸相
Grant number：24K06716 2024.4 - 2029.3
中村信裕
Authorship：Principal investigator Grant type：Competitive
Grant amount：\3250000 （ Direct Cost: \2500000 、 Indirect Cost：\750000 ）
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Pin(2)モノポール方程式と4次元トポロジー
2019.4 - 2024.3
中村信裕
Authorship：Principal investigator Grant type：Competitive
Grant amount：\3250000 （ Direct Cost: \2500000 、 Indirect Cost：\750000 ）
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ゲージ理論の精密化と4次元トポロジー
2013.4 - 2018.3
中村信裕
Authorship：Principal investigator Grant type：Competitive
Grant amount：\3700000 （ Direct Cost: \2900000 、 Indirect Cost：\870000 ）