Gerhard Huisken

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Gerhard Huisken 2006

Gerhard Huisken (born May 20, 1958 in Hamburg ) is a German mathematician .

Life

After graduating from high school in 1977, Huisken began studying mathematics at Heidelberg University . In 1982, one year after his diploma examination, he received his doctorate there with a thesis on nonlinear partial differential equations ( regular capillary surfaces in negative gravitational fields ).

From 1983 to 1984 he worked at the Center for Mathematical Analysis at the Australian National University in Canberra , where he turned to differential geometry, specifically mean curvature flow and applications in general relativity . In 1985 he returned to Heidelberg University as a research associate, and completed his habilitation in 1986. After an interlude as a visiting professor at the University of California in San Diego , he worked from 1986 to 1992 as a lecturer (first lecturer, then reader) at the Center for Mathematical Analysis Australian National University. In 1991 he was visiting professor at Stanford University , USA . Between 1992 and 2002, Huisken held a professorship at the University of Tübingen , and from 1996 to 1998 he was the dean of the Mathematical Faculty of Tübingen. From 1999 to 2000 he was visiting professor at Princeton University , USA.

From 2002 to 2013 Huisken was director at the Max Planck Institute for Gravitational Physics in Golm near Potsdam and at the same time honorary professor at the Free University of Berlin and the University of Tübingen. From April 2013 he is director of the Mathematical Research Institute Oberwolfach and holds a professorship at the University of Tübingen. He is an "External Scientific Member" at the MPI for Gravitational Physics.

Simon Brendle is one of his PhD students .

Services

Huisken works in the intersection of analysis , geometry and physics . Many phenomena in mathematical physics and geometry are closely related to changing curves, surfaces and spaces.

In addition to analysis, his mathematical research topics are also differential geometry . He is concerned with the development of the shape of surfaces over time, that is, he studies the deformation of surfaces, the rules of this deformation being determined by the own geometry of the surfaces.

Gerhard Huisken made outstanding contributions to the general theory of relativity . In 1997, together with Tom Ilmanen ( ETH Zurich ) , he was able to prove the Penrose conjecture for black holes in the case of three-dimensional Riemannian manifolds with positive scalar curvature.

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (Evolution of hypersurfaces by their curvature in Riemannian Manifolds).

Memberships

Huisken is a member of the Heidelberg Academy of Sciences , the Berlin-Brandenburg Academy of Sciences , the German Academy of Sciences Leopoldina (since 2004) and the Academia Europaea (since 2014).

In 2006 he was a member of the selection committee of the International Mathematical Union , traditionally kept secret until the respective award ceremony , which decides on the award of the Fields Medal as part of the International Congress of Mathematicians . He is a fellow of the American Mathematical Society .

Prizes and awards

Fonts

  • 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.
  • Asymptotic behavior for singularities of the mean curvature flow , J. Differential Geom. 31 (1990), no. 1, 285-299.
  • 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.
  • with C. Sinestrari: Convexity estimates for mean curvature flow and singularities of mean convex surfaces , Acta Math. 183 (1999), no. 1, 45-70
  • with T. Ilmanen: The inverse mean curvature flow and the Riemannian Penrose inequality , J. Differential Geom. 59 (2001), no. 3, 353-437.
  • with C. Sinestrari: Mean curvature flow with surgeries of two-convex hypersurfaces , Invent. Math. 175 (2009), no. 1, 137-221.
  • Evolution Equations in Geometry , in: Engquist, Schmid (editor): Mathematics Unlimited - 2001 and beyond , Springer 2001

Web links

Individual evidence

  1. ↑ Gerhard Huisken in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Huisken, Ilmanen The Riemann-Penrose Inequality Int. Math. Research Notes Vol. 20, 1997, pp. 1045-1058, The inverse mean curvature flow and the Riemannian Penrose Inequality , Journal of Differential Geometry, Vol. 59, 2001, p 353-437
  3. ^ Gabriele Dörflinger: Mathematics in the Heidelberg Academy of Sciences . 2014, pp. 28–29.
  4. ↑ IMU Awards and Prizes: Selection Committees ( Memento of the original from July 15, 2013 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. ; on the website of the International Mathematical Union; accessed on June 9, 2013  @1@ 2Template: Webachiv / IABot / www.mathunion.org
personal data
SURNAME Huisken, Gerhard
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH May 20, 1958
PLACE OF BIRTH Hamburg