Tobias Colding

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

Colding obtained his PhD in 1992 under Christopher Brian Croke at the University of Pennsylvania ( Alexandrov's spaces in Riemannian Geometry ). In 1993/94 he was a post-doc at MSRI . He was then 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 visiting professor at MIT and visiting professor at Princeton University in 2001/02 .

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

He was a Sloan Fellow in 1991/92 and 1996, is a foreign member of the Royal Danish Academy of Sciences, has been a member of the American Academy of Arts and Sciences since 2008 and has been an honorary professor at the University of Copenhagen since 2006 . In 2010 he and Minicozzi received the Oswald Veblen Prize for their work on minimal surfaces. In 1998 he was invited speaker at the International Congress of Mathematicians (ICM) in Berlin ( Spaces of Ricci curvature bounds ). With Minicozzi he also dealt with Ricci flows and harmonic functions on manifolds and with Jeff Cheeger with spaces of limited Ricci curvature .

He is related to the Danish physicist Ludwig August Colding , who postulated the conservation of energy independently of Julius Robert von Mayer and James Prescott Joule in the 19th century.

Fonts

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

Web links

Individual evidence

  1. ^ Colding, Minicozzi The space of embedded minimal surfaces of fixed genus in a 3-manifold , part 1–4, Annals of Mathematics, Vol. 160, 2004, pp. 27, 69, 523, 573
  2. ^ Colding, Minicozzi The Calabi-Yau Conjecture for embedded surfaces , Annals of Mathematics, Vol. 167, 2008, p. 211.
personal data
SURNAME Colding, Tobias
ALTERNATIVE NAMES Colding, Tobias Holck
BRIEF DESCRIPTION Danish mathematician
DATE OF BIRTH 20th century
PLACE OF BIRTH Copenhagen