Tobias Colding

Tobias Holck Colding (* in Copenhagen ) is a Danish mathematician who deals primarily with differential geometry and with minimal surfaces.

Colding his doctorate in 1992 at Christopher Brian Croke at the University of Pennsylvania ( Alexandrov 's spaces in Riemannian Geometry ). 1993/94 he was a post- doctoral fellow at MSRI. After that, he was at the Courant Institute of Mathematical Sciences of New York University (until 2008) and from 2005 professor at the Massachusetts Institute of Technology (MIT). Previously, he was a visiting professor at MIT and 2001/ 02 Visiting Professor at Princeton University.

Colding deals with differential geometry, geometric analysis, partial differential equations and low-dimensional topology. In a series of works by William P. Minicozzi II, he developed a theory in 3- dimensional manifolds embedded minimal surfaces .. They also proved a conjecture of Eugenio Calabi and Shing -Tung Yau

He was the 1991/92 and 1996 Sloan Fellow, is a foreign member of the Royal Danish Academy of Sciences, since 2008 a member of the American Academy of Arts and Sciences, and since 2006 Honorary Professor, University of Copenhagen. In 2010 he was awarded with the Minicozzi Oswald Veblen Prize for their work on minimal surfaces. In 1998 he was invited speaker at the ICM in Berlin ( Spaces of Ricci curvature bounds ). With Minicozzi he also dealt among other things with Ricci - flows and harmonic functions on manifolds and with Jeff Cheeger with areas of limited Ricci curvature.

He is related to the Danish physicist Ludwig August Colding, who postulated the conservation of energy independent of Mayer and Joule in the 19th century.

Writings

  • William P. Minicozzi II: Minimal Surfaces, Courant Lecture notes in Mathematics 4, New York 1999
  • William P. Minicozzi II: Discs are double spiral staircases did, Notices of the AMS 50, March 2003, pp. 327-339 (online)
  • William P. Minicozzi II: An excursion into geometric analysis ( PDF file, 571 kB), in Alexander Grigor'yan, Shing -Tung Yau (eds.): Surveys in Differential Geometry. Volume IX: Eigenvalues ​​of Laplacians and Other Geometric Operators, International Press, Somerville 2004, pp. 83-146
Oswald Veblen Prize in Geometry Ludwig A. Colding Integrated Authority File
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