Gerhard Huisken
Gerhard Huisken ( born May 20, 1958 in Hamburg ) is a German mathematician.
Life
Huisken began after graduating from high school in 1977 with the study of mathematics at the University of Heidelberg. In 1982, one year after the final examination, he earned his doctorate at the University of Heidelberg with a thesis on nonlinear partial differential equations ( Regular capillary surfaces in negative gravitational fields ).
From 1983 to 1984 he worked at the Centre for Mathematical Analysis Australian National University in Canberra, where he turned to differential geometry, especially curvature -induced flows (mean curvature flow) and applications in general relativity. In 1985, again working as a research assistant at the University of Heidelberg, he qualified here in 1986. After a stint as a visiting professor at the University of California at San Diego, he worked from 1986 to 1992 as a lecturer ( first Lecturer, then Reader) at the Centre for Mathematical Analysis of the Australian National University. In 1991 he was a visiting professor at Stanford University. Between 1992 and 2002, Huisken was a professor at the University of Tübingen, where he practiced until 1998, the Office of the Dean of Mathematics Faculty of Tübingen in 1996. From 1999 to 2000, he held a visiting professor at Princeton University.
From 2002 to 2013 was Huisken Director at the Max Planck Institute for Gravitational Physics in Golm near Potsdam and also an honorary professor at the Free University of Berlin and at the University of Tübingen. By April 2013, he is Director of the Mathematical Research Institute Oberwolfach and has been a professor at the University of Tübingen. At the MPI for Gravitational Physics, he is " External Scientific Member".
His doctoral Simon Brendle heard.
Services
Huisken works in the intersection region of analysis, geometry and physics. Many phenomena in mathematical physics and geometry are closely related to variable curves, surfaces and spaces.
His mathematical research topics are out of the analysis, the differential geometry. It deals with the development of the shape of surfaces in the course of time, that is, it examines the deformation of surfaces, the rules of this deformation are determined by the geometry of the surfaces own.
Gerhard Huisken made outstanding contributions to the general theory of relativity. In 1997, he was able to prove the Penrose conjecture for black holes in the case of three-dimensional Riemannian manifolds with positive scalar curvature together with Tom Ilmanen (ETH Zurich ).
In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Evolution of hypersurfaces by curvature in Riemannian manifolds Their ).
Memberships
Huisken is a member of the Heidelberg Academy of Sciences, the Berlin- Brandenburg Academy of Sciences and the German Academy of Sciences Leopoldina ( since 2004).
In 2006 he was a member of the traditionally held secret until the respective award selection committee of the International Mathematical Union, which decides within the framework of the International Congress of Mathematicians on the award of the Fields Medal. He is a Fellow of the American Mathematical Society.
Prizes and awards
Writings
- Flow by mean curvature of convex surfaces into spheres, J. Differential Geom 20 (1984 ), no 1, 237-266.
- Contracting convex hypersurfaces in Riemannian manifolds by Their mean curvature, Invent. Math 84 (1986 ), no 3, 463-480.
- With K. Ecker: Mean curvature evolution of Entire graphs, Ann. of Math ( 2) 130 (1989 ), no 3, 453-471.
- With K. Ecker: Interior estimates for hypersurfaces moving by mean curvature, Invent. Math 105 (1991), no 3, 547-569.
- With ST Yau: Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature, Invent. Math 124 (1996), no 1-3, 281-311.
- Evolution Equations in Geometry, in Engquist, Schmid (Editor ) Mathematics Unlimited - 2001 and Beyond, Springer 2001