Organization
Graduate School of Mathematics Natural Mathematics Associate professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science Department of Mathematics
Title
Associate professor
MATSUO Shinichiroh
Degree 1
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Doctor (Mathematical Sciences) （ 2010.3 The University of Tokyo ）
Research Interests 5
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scalar curvature
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Nevanlinna theory
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Gauge theory
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Differential geometry
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Geometric analysis
Research Areas 1
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Natural Science / Geometry
Research History 4
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Osaka University Graduate School of Mathematics Assistant Professor
2012.4 - 2016.3
Country：Japan
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Kyoto University Department of Mathematics, Graduate School of Science JSPS PD
2011.4 - 2012.3
Country：Japan
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The University of Tokyo Graduate School of Mathematical Sciences GCOE project researcher
2010.4 - 2011.3
Country：Japan
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The University of Tokyo Graduate School of Mathematical Sciences JSPS Research Fellow DC1
2007.4 - 2010.3
Country：Japan
Education 3
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The University of Tokyo Graduate School, Division of Mathematical Sciences Mathematical sciences
2007.4 - 2010.3
Country： Japan
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The University of Tokyo Graduate School, Division of Mathematical Sciences Mathematical sciences
2005.4 - 2007.3
Country： Japan
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The University of Tokyo Faculty of Science
2001.4 - 2005.3
Country： Japan
Professional Memberships 1
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Mathematical Society of Japan
Papers 7
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The Atiyah-Patodi-Singer Index and Domain-Wall Fermion Dirac Operators
Fukaya Hidenori, Furuta Mikio, Matsuo Shinichiroh, Onogi Tetsuya, Yamaguchi Satoshi, Yamashita Mayuko
COMMUNICATIONS IN MATHEMATICAL PHYSICS Vol. 380 ( 3 ) page： 1295 - 1311 2020.12
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The perturbation of the Seiberg-Witten equations revisited Reviewed
Furuta Mikio, Matsuo Shinichiroh
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN Vol. 68 ( 4 ) page： 1655-1668 2016.10
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Yamabe Invariants and the $\mathrm{Pin}^-(2)$-monopole Equations Reviewed
Masashi Ishida, Shinichiroh Matsuo, and Nobuhiro Nakamura
Mathematical Research Letters Vol. 23 ( 4 ) page： 1049--1069 2016
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Local mean dimension of ASD moduli spaces over the cylinder Reviewed
Matsuo Shinichiroh, Tsukamoto Masaki
ISRAEL JOURNAL OF MATHEMATICS Vol. 207 ( 2 ) page： 793-834 2015.4
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BRODY CURVES AND MEAN DIMENSION Reviewed
Matsuo Shinichiroh, Tsukamoto Masaki
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 28 ( 1 ) page： 159-182 2015.1
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The prescribed scalar curvature problem for metrics with unit total volume Reviewed
Matsuo Shinichiroh
MATHEMATISCHE ANNALEN Vol. 360 ( 3-4 ) page： 675-680 2014.12
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Instanton approximation, periodic ASD connections, and mean dimension Reviewed
Matsuo Shinichiroh, Tsukamoto Masaki
JOURNAL OF FUNCTIONAL ANALYSIS Vol. 260 ( 5 ) page： 1369-1427 2011.3
KAKENHI (Grants-in-Aid for Scientific Research) 6
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Does a compact hyperbolic 4-manifold have a symplectic structure?
Grant number：17K14186 2017.4 - 2021.3
Authorship：Principal investigator
Grant amount：\4290000 （ Direct Cost: \3300000 、 Indirect Cost：\990000 ）
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インスタントンのモジュライの計量幾何の観点からの研究
2013.4 - 2017.3
科学研究費補助金 若手研究(B)
Authorship：Principal investigator
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Geometric and Global Analysis of Scalar Curvature and Einstein Metrics
Grant number：24340008 2012.4 - 2018.3
AKUTAGAWA KAZUO
Authorship：Collaborating Investigator(s) (not designated on Grant-in-Aid)
On a compact manifold with very general singularities, we have studied the Yamabe problem and have established a generalization of Aubin’s inequality for Yamabe constants. When the inequality is strict, we have proved the existence of singular Yamabe metrics.
When the equality of the inequality holds, we have constructed an example of singular manifolds which have not singular Yamabe metrics. For an edge-cone Einstein metric on a smooth manifold, we have constructed an appropriate family of smooth metrics with Ricci curvature bounded below by the Einstein constant. As a corollary, we have obtained an estimate of the Yamabe invariant from below by using the existence of edge-cone Einstein metrics. -
非コンパクト四次元多様体のドナルドソン理論におけるモジュライ空間の幾何解析的研究
2011.4 - 2014.3
科学研究費補助金 若手研究(B)
Authorship：Principal investigator
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四次元開多様体上のゲージ理論の大域解析学的研究と無限次元の幾何学
2011.4 - 2012.3
科学研究費補助金
Authorship：Principal investigator
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擬正則曲線のモジュライ空間の大域解析学的研究とその四元数化の研究
2007.4 - 2010.3
科学研究費補助金
Authorship：Principal investigator
Social Contribution 2
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Role(s)：Lecturer
NHK文化センター 秋の数学散策 2016.10
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Role(s)：Lecturer
名古屋大学大学院多元数理科学研究科 2016.10