Regular biography
HONDA Shouhei is a professor in the Department of MATH at The University of Tokyo. His research focuses on geometric analysis, particularly on geometric analysis related to Ricci curvature and collapsing of Riemannian manifolds. He is currently working on metric measure spaces with Ricci curvature bounded below and related topics. His research includes collaborations on topics such as weakly non-collapsed RCD spaces, singular Weyl's law, and isometric immersions of RCD spaces. He has published extensively in top mathematics journals, including Manuscripta Math., Trans. Amer. Math. Soc., and J. Reine Angew. Math. Honda has received several awards, including the Mathematical Society of Japan Geometry Prize (2018), the Young Scientists' Prize of Science and Technology by the MEXT (2017), and the MSJ Takebe Katahiro Prize (2015).
Scholar-generated biography
Shouhei Honda is a researcher at the Graduate School of Mathematical Science, The University of Tokyo, focusing on geometric analysis and metric measure spaces. His work explores Ricci curvature bounds, convergence of metric spaces, and spectral properties of operators on non-smooth spaces. Honda's research includes stability results for metric measure spaces with uniform Ricci bounds, spectral convergence under bounded Ricci curvature, and the embedding of RCD⁎(K, N) spaces in L2 via eigenfunctions. His contributions span elliptic PDEs on Ricci limit spaces, Weyl’s law with Ricci curvature bounds, and the analysis of singular Weyl’s law. His studies also address the topological stability of spaces and the relationship between Ricci curvature and orientability.