## About

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.

## Papers

- 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 - 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 - 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 - ———. “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 - 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 - 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

## Education

- Ph.D. in Mathematical Sciences, University of Tokyo, March 2010
- Thesis
- The Runge theorem for instantons
- Advisor
- Mikio Furuta

- B.A. in Mathematics, University of Tokyo, March 2005

## Employment

- 2016--Present
- Associate Professor, Nagoya University
- 2012--2016
- Assistant Professor, Osaka University
- 2011--2012
- JSPS Research Fellow PD, Kyoto University
- 2010--2011
- GCOE Project Researcher, University of Tokyo
- 2007--2010
- JSPS Research Fellow DC1, University of Tokyo

## Grants

- 2017--2020
- JSPS KAKENHI Grant-in-Aid for Young Scientists B
- 2013--2016
- JSPS KAKENHI Grant-in-Aid for Young Scientists B
- 2011--2014
- JSPS KAKENHI Grant-in-Aid for Young Scientists B
- 2011--2011
- JSPS KAKENHI Grant-in-Aid for JSPS Fellows
- 2007--2009
- 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