Mu-Tao Wang

Mu-Tao Wang is a Chinese mathematician from Taiwan who studies differential geometry and geometric analysis with applications in general relativity .

Wang studied international business and then mathematics at National Taiwan University with a bachelor's degree in 1988 and a master's degree in 1992. He received his doctorate from Harvard University in 1998 with Shing-Tung Yau ( Generalized harmonic maps and representations of discrete groups ). After that he was Szego Assistant Professor at Stanford University . In 2001 he became an assistant professor at Columbia University , where he received a full professorship in 2009.

In 2011/12 he was visiting professor at National Taiwan University.

With Yau he developed a new concept of quasi-local masses in general relativity. In differential geometry, he investigated mean curvature flow in higher dimensions.

In 2003 he was a Sloan Fellow. In 2007 he received the Chern Prize and in 2010 the Morningside Gold Medal . He has been a Fellow of the American Mathematical Society since 2012 . In 2014/15 he was Simons Fellow and in 2007 Kavli Fellow of the National Academy of Sciences. In 2010 he was plenary speaker at the ICCM (Quasilocal mass from a mathematical perspective) and in 2012 at the International Congress on Mathematical Physics .

Fonts

• A fixed point theorem of isometry action on Riemannian manifolds, Journal of Differential Geometry 50 (1998), pp. 249-267
• Mean curvature flow of surfaces in Einstein four-manifolds, Journal of Differential Geometry 57 (2001), pp. 301-338
• Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension, Inventiones Mathematicae 148 (2002), no.3, 525-543
• with Knut Smoczyk: Mean curvature flows of Lagrangian submanifolds with convex potentials, Journal of Differential Geometry 62 (2002), pp. 243-257
• The Dirichlet problem for the minimal surface system in arbitrary codimension, Communications on Pure and Applied Mathematics 57 (2004), pp. 267-281
• Lectures on mean curvature flow in higher codimensions, in: Handbook of Geometric Analysis, Internat. Press, Somerville, 2008, pp. 525-543
• with Shing-Tung Yau: Isometric embeddings into the Minkowski space and new quasi-local mass, Communications in Mathematical Physics 288 (2009), pp. 919-942
• with Ivana Medoš: Deforming symplectomorphisms of complex projective spaces by the mean curvature flow, Journal of Differential Geometry 87 (2011), pp. 309–342
• with Simon Brendle , Pei-Ken Hung: A Minkowski type inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold, Communications in Pure and Applied Mathematics, 69 (2016), pp. 124–144, Preprint 2012
• with Yau: Quasilocal mass in general relativity, Phys. Rev. Lett. 102 (2009), p. 021101, Arxiv
• with Yau: Limit of quasilocal mass at spatial infinity, Comm. Math. Phys., 296 (2010), pp. 271-283

Web links

• Homepage at Columbia University

Individual evidence

1. ↑ Mu-Tao Wang in the Mathematics Genealogy Project (English)