Shinichiroh Matsuo

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

1. Shoto Aoki, Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, and Satoshi Yamaguchi. “The index of lattice Dirac operators and K-theory,” 2024. https://arxiv.org/abs/2407.17708.　
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2. Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi, and Mayuko Yamashita. “Mod-two APS index and domain-wall fermion.” Lett. Math. Phys. 112, no. 16 (2022): 1295–1311. doi:10.1007/s11005-022-01509-2.　
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3. Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi, and Mayuko Yamashita. “The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators.” Comm. Math. Phys. 380, no. 3 (2020): 1295–1311. doi:10.1007/s00220-020-03806-0.　
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4. 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.　
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5. 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.　
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6. 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.　
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7. ———. “Brody curves and mean dimension.” J. Amer. Math. Soc. 28, no. 1 (2015): 159–82. doi:10.1090/S0894-0347-2014-00798-0.　
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8. 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.　
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9. 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.　
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