School personnel information

写真b

OHTA Shin-ichi


Keyword

Differential geometry, geometric analysis

URL

http://www.math.sci.osaka-u.ac.jp/~sohta/

Organization 【 display / non-display

  • 2017.04.01 - , Department of Mathematics, Graduate School of Science, Professor

Employment Record 【 display / non-display

Kyoto University, Associate Professor 2003.10 - 2009.09
Kyoto University, Associate Professor 2009.10 - 2017.03
Osaka University, Professor 2017.04 -

Research topics 【 display / non-display

  • My research subject is geometry, especially differential geometry and geometric analysis related to analysis and probability theory. A keyword of my research is "curvature" which represents how the space is curved. As seen in the difference between the sums of interior angles of triangles in a plane and a sphere, the behavior of the curvature influences various properties of the space (the shapes of triangles, the volume growth of concentric balls, how heat propagates, the behavior of entropy, etc.). This powerful and versatile conception has been applied to Riemannian manifolds, metric spaces, Finsler manifolds, Banach spaces, as well as discrete objects such as graphs.
    Geometry-related

 

Academic Papers 【 display / non-display

  • Needle decompositions and isoperimetric inequalities in Finlser geometry, Shin-ichi Ohta, J. Math. Soc. Japan,70(2) 651-693, 2018.04, Papers

  • Nonlinear geometric analysis on Finsler manifolds, Shin-ichi Ohta, Eur. J. Math.,3 916-952, 2017.12, Review Papers

  • Some functional inequalities on non-reversible Finsler manifolds, Shin-ichi Ohta, Proc. Indian Acad. Sci. Math. Sci.,127 833-855, 2017.11, Papers

  • Gradient flows and a Trotter-Kato formula of semi-convex functions on CAT(1)-spaces, Shin-ichi Ohta, Miklos Palfia, Amer. J. Math.,139 937-965, 2017.08, Papers

  • (K,N)-convexity and the curvature-dimension condition for negative N, Shin-ichi Ohta, J. Geom. Anal.,26(3) 2067-2096, 2016.07, Papers

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Awards 【 display / non-display

  • JSPS Prize, Shin-ichi Ohta, JSPS, 2014.02

  • MEXT Young Scientist's Prize, Shin-ichi Ohta, MEXT, 2012.04

  • MSJ Spring Prize, Shin-ichi Ohta, Mathematical Society of Japan, 2012.03

  • MSJ Geometry Prize, Shin-ichi Ohta, Mathematical Society of Japan, 2011.09

  • MSJ Takebe Prize, Shin-ichi Ohta, Mathematical Society of Japan, 2005.09