Shinichiroh Matsuo

Associate Professor
Graduate School of Mathematics, Nagoya University

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I am an associate professor at Nagoya University.

My mathematical interests include geometric analysis, gauge theory, differential geometry, and dynamical systems. I have worked on topics such as Donaldson theory on non-compact $4$-manifolds, Seiberg-Witten theory, scalar curvature, and mean dimension. I also have a side interest in the application of $K$-theory to topological insulators. \[ \begin{cases} D_A \Phi = 0 \\ \sqrt{8} iF_A^+ = -\beta(|\sigma(\Phi)|) \left[ \left( \frac{2}{3} R_g + 2w_g \right) + \epsilon \right]_+ \frac{\sigma(\Phi)}{|\sigma(\Phi)|} \end{cases} \]

I received my PhD from University of Tokyo in 2010, supervised by Professor Mikio Furuta. After that I was a JSPS postdoctoral fellow at Kyoto, and an assistant professor at Osaka, before moving to Nagoya in 2016. Here is a CV.


  1. Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi, and Mayuko Yamashita. “The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators,” 2019. 
    Full-text PDF
  2. Mikio Furuta and Shinichiroh Matsuo. “The perturbation of the Seiberg-Witten equations revisited.” J. Math. Soc. Japan 68, no. 4 (2016): 1655–68. doi:10.2969/jmsj/06841655. 
    Full-text PDF Journal website
  3. Masashi Ishida, Shinichiroh Matsuo, and Nobuhiro Nakamura. “Yamabe invariants and the $\rm Pin^-(2)$-monopole equations.” Math. Res. Lett. 23, no. 4 (2016): 1049–69. doi:10.4310/MRL.2016.v23.n4.a4. 
    Full-text PDF Journal website
  4. Shinichiroh Matsuo and Masaki Tsukamoto. “Local mean dimension of ASD moduli spaces over the cylinder.” Israel J. Math. 207, no. 2 (2015): 793–834. doi:10.1007/s11856-015-1162-z. 
    Full-text PDF Journal website
  5. ———. “Brody curves and mean dimension.” J. Amer. Math. Soc. 28, no. 1 (2015): 159–82. doi:10.1090/S0894-0347-2014-00798-0. 
    Full-text PDF Journal website
  6. Shinichiroh Matsuo. “The prescribed scalar curvature problem for metrics with unit total volume.” Math. Ann. 360, no. 3-4 (2014): 675–80. doi:10.1007/s00208-014-1052-4. 
    Full-text PDF Journal website
  7. Shinichiroh Matsuo and Masaki Tsukamoto. “Instanton approximation, periodic ASD connections, and mean dimension.” J. Funct. Anal. 260, no. 5 (2011): 1369–1427. doi:10.1016/j.jfa.2010.11.008. 
    Full-text PDF Journal website


  • Ph.D. in Mathematical Sciences, University of Tokyo, March 2010
    The Runge theorem for instantons
    Mikio Furuta
  • B.A. in Mathematics, University of Tokyo, March 2005


Associate Professor, Nagoya University
Assistant Professor, Osaka University
JSPS Research Fellow PD, Kyoto University
GCOE Project Researcher, University of Tokyo
JSPS Research Fellow DC1, University of Tokyo


JSPS KAKENHI Grant-in-Aid for Young Scientists B
JSPS KAKENHI Grant-in-Aid for Young Scientists B
JSPS KAKENHI Grant-in-Aid for Young Scientists B
JSPS KAKENHI Grant-in-Aid for JSPS Fellows
JSPS KAKENHI Grant-in-Aid for JSPS Fellows

Visiting positions

2017-4-23 -- 2017-7-21
The Simons Center for Geometry and Physics
2014-11-8 -- 2014-12-25
Max-Planck-Institut für Mathematik
2010-11-22 -- 2010-12-24
The Hausdorff Research Institute for Mathematics