William Minicozzi II

William P. Minicozzi II ( born December 13, 1967 in Bryn Mawr, Pennsylvania) is an American mathematician who deals primarily with minimal surfaces.

Life

Minicozzi studied at Princeton University ( BA 1990) and his PhD in 1994 with Richard Schoen at Stanford University ( Geometrical variational problems related to symplectic geometry ). Subsequently he was a post- doctoral fellow at the Courant Institute of Mathematical Sciences of New York University. From 1995 he was at Johns Hopkins University, where he was an assistant professor in 1994, associate professor in 1998 and professor in 2000. He is there since 2002, J.- J.- Sylvester - professor of mathematics and from 2007 Warrior Eisenhower Professor.

Minicozzi deals with differential geometry, geometric analysis and partial differential equations. In a series of papers by Tobias Colding, he developed a theory in 3- dimensional manifolds embedded minimal surfaces. They also proved a conjecture of Eugenio Calabi and Shing -Tung Yau for the special case of embedded surfaces. With Colding he also dealt among other things with Ricci - flows and harmonic functions on manifolds.

In 1998 he was Sloan Fellow. In 2010 he was awarded with the Colding Oswald Veblen Prize for their work on minimal surfaces. In 2006 he was invited speaker at the International Congress of Mathematicians (ICM ) in Madrid (embedded minimal surfaces ). He is since 2007 the editor of the Memoirs and Transactions of the AMS since 2008 by Geometriae dedicata, since 2007, Analysis and PDE and the Journal of Topology and Analysis. He is a Fellow of the American Mathematical Society.

Writings

  • Tobias Colding: Minimal Surfaces, Courant Lecture notes in Mathematics 4, New York 1999
  • Tobias Colding: Discs are double spiral staircases did, Notices of the AMS 50, March 2003, pp. 327-339 (online)
  • Tobias Colding: 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
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