Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Tobias_Colding> ?p ?o }
- Tobias_Colding abstract "Tobias Holck Colding is a Danish mathematician. He was born in Copenhagen, Denmark, to Torben Holck Colding and Benedicte Holck Colding. He received his Ph.D. in mathematics in 1992 at the University of Pennsylvania under Chris Croke. Since 2005 Colding has been a professor of mathematics at MIT. He was on the faculty at the Courant Institute of New York University in various positions from 1992 to 2008. He has also been a visiting professor at MIT (2000–01) and at Princeton University (2001–02) and a postdoctoral fellow at MSRI (1993–94).In the early stage of his career, Colding did impressive work on manifolds with bounds on Ricci curvature. In 1995 he presented this work at the Geometry Festival. He began working with Jeff Cheeger while at NYU. He gave a 45-minute invited address to the ICM on this work in 1998 in Berlin. He began coauthoring with William P. Minicozzi at this time: first on harmonic functions and later on minimal surfaces.He gave an AMS Lecture at University of Tennessee. He also gave an invited address at the first AMS-Scandinavian International meeting in Odense, Denmark, in 2000 and an invited address at the Germany Mathematics Meeting in 2003 in Rostock. He gave the 2008 Mordell Lecture at the University of Cambridge and gave the 2010 Cantrell Lectures at University of Georgia. Since 2008 he has been a Fellow of the American Academy of Arts and Sciences, and since 2006 a foreign member of the Royal Danish Academy of Sciences and Letters, and also since 2006 an honorary professor of University of Copenhagen, Denmark.In 2010 Tobias H. Colding received the Oswald Veblen Prize in Geometry together with William Minicozzi II for their work on minimal surfaces. In justification of the reward the American Mathematical Society wrote:"The 2010 Veblen Prize in Geometry is awarded to Tobias H. Colding and William P. Minicozzi II for their profound work on minimal surfaces. In a series of papers they have developed a structure theory for minimal surfaces with bounded genus in 3-manifolds, which yields a remarkable global picture for an arbitrary minimal surface of bounded genus. This contribution led to the resolution of long-standing conjectures of initiated a wave of new results. Specifically, they are cited for the following joint papers, of which the first four form a series of establishing the structure theory for embedded surfaces in 3-manifolds:"The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. I. estimates off the Axis for Disks", Ann. of Math (2) 160 (2004), no. 1, 27-68."The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. II. Multi-valued Graphs in Disks". Ann. of Math. (2) 160 (2004), no. 1, 69-92."The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. III. Planar Domains". Ann. of Math. (2) 160 (2004), no. 1, 523-572."The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. IV. Locally Simply Connected". Ann. of Math. (2) 160 (2004), no. 1, 573-615."The Calabi-Yau Conjectures for Embedded Surfaces", Ann. of Math. (2) 167 (2008), no. 1, 211-243.In the final paper cited here, the authors show that a complete embedded minimal surface of finite genus is properly embedded, proving the embedded version of the Calabi-Yau conjectures."Tobias Colding is the great grandchild of Ludwig August Colding.".
- Tobias_Colding almaMater University_of_Pennsylvania.
- Tobias_Colding doctoralAdvisor Christopher_Croke.
- Tobias_Colding field Mathematics.
- Tobias_Colding nationality Denmark.
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- Tobias_Colding wikiPageWikiLink American_Academy_of_Arts_and_Sciences.
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- Tobias_Colding wikiPageWikiLink Category:21st-century_mathematicians.
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- Tobias_Colding wikiPageWikiLink Harmonic_function.
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- Tobias_Colding wikiPageWikiLink Jeff_Cheeger.
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- Tobias_Colding wikiPageWikiLink Ludwig_August_Colding.
- Tobias_Colding wikiPageWikiLink MIT.
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- Tobias_Colding wikiPageWikiLink Minimal_surface.
- Tobias_Colding wikiPageWikiLink Minimal_surfaces.
- Tobias_Colding wikiPageWikiLink New_York_University.
- Tobias_Colding wikiPageWikiLink Odense.
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- Tobias_Colding wikiPageWikiLink Princeton_University.
- Tobias_Colding wikiPageWikiLink Ricci_curvature.
- Tobias_Colding wikiPageWikiLink Royal_Danish_Academy_of_Sciences_and_Letters.
- Tobias_Colding wikiPageWikiLink Sloan_Fellowship.
- Tobias_Colding wikiPageWikiLink University_of_Cambridge.
- Tobias_Colding wikiPageWikiLink University_of_Copenhagen.
- Tobias_Colding wikiPageWikiLink University_of_Georgia.
- Tobias_Colding wikiPageWikiLink University_of_Pennsylvania.
- Tobias_Colding wikiPageWikiLink University_of_Tennessee.
- Tobias_Colding wikiPageWikiLink William_Minicozzi_II.
- Tobias_Colding wikiPageWikiLinkText "Colding".
- Tobias_Colding wikiPageWikiLinkText "Colding, Tobias".
- Tobias_Colding wikiPageWikiLinkText "Tobias Colding".
- Tobias_Colding almaMater University_of_Pennsylvania.
- Tobias_Colding doctoralAdvisor Christopher_Croke.
- Tobias_Colding fields Mathematics.
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- Tobias_Colding name "Colding, Tobias".
- Tobias_Colding name "Tobias Colding".
- Tobias_Colding shortDescription "Danish mathematician".
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- Tobias_Colding workplaces New_York_University.
- Tobias_Colding description "Danish mathematician".
- Tobias_Colding description "Danish mathematician".
- Tobias_Colding subject Category:21st-century_mathematicians.
- Tobias_Colding subject Category:Danish_mathematicians.
- Tobias_Colding subject Category:Differential_geometers.
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- Tobias_Colding subject Category:Massachusetts_Institute_of_Technology_faculty.
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- Tobias_Colding comment "Tobias Holck Colding is a Danish mathematician. He was born in Copenhagen, Denmark, to Torben Holck Colding and Benedicte Holck Colding. He received his Ph.D. in mathematics in 1992 at the University of Pennsylvania under Chris Croke. Since 2005 Colding has been a professor of mathematics at MIT. He was on the faculty at the Courant Institute of New York University in various positions from 1992 to 2008.".
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