303:"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:
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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."
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American
Mathematical Society, January 2010 Prizes and Awards, 2010 Joint Mathematics Meeting, San Francisco, CA, January 13–16, 2010.
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307:"The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. I. estimates off the Axis for Disks",
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314:"The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. II. Multi-valued Graphs in Disks".
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328:"The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. IV. Locally Simply Connected".
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321:"The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. III. Planar Domains".
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in various positions from 1992 to 2008. He has also been a visiting professor at
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189:(1993–94). Colding lives in Cambridge, MA, with his wife and three children.
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under Chris Croke. Since 2005 Colding has been a professor of mathematics at
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Lower bounds on Ricci curvature and the almost rigidity of warped products.
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On the structure of spaces with Ricci curvature bounded below. III.
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On the structure of spaces with Ricci curvature bounded below. II.
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On the structure of spaces with Ricci curvature bounded below. I.
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In the early stage of his career, Colding did impressive work on
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Massachusetts
Institute of Technology School of Science faculty
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Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II
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while at NYU. He gave a 45-minute invited address to the
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457:"Colding, Seidel win 2010 AMS Veblen Prize in Geometry"
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Generic mean curvature flow I: generic singularities.
335:"The Calabi-Yau Conjectures for Embedded Surfaces",
783:Courant Institute of Mathematical Sciences faculty
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398:J. Differential Geom. 46 (1997), no. 3, 406–480.
415:Colding, Tobias H.; Minicozzi, William P., II.
277:, and also since 2006 an honorary professor of
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405:J. Differential Geom. 54 (2000), no. 1, 13–35.
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419:Ann. of Math. (2) 175 (2012), no. 2, 755–833.
391:Ann. of Math. (2) 145 (1997), no. 3, 477–501.
384:Ann. of Math. (2) 144 (1996), no. 1, 189–237.
275:Royal Danish Academy of Sciences and Letters
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269:. Since 2008 he has been a Fellow of the
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389:Ricci curvature and volume convergence.
288:In 2010 Tobias H. Colding received the
265:and gave the 2010 Cantrell Lectures at
185:(2001–02) and a postdoctoral fellow at
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271:American Academy of Arts and Sciences
95:Massachusetts Institute of Technology
439:"Spaces with Ricci curvature bounds"
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788:20th-century Danish mathematicians
768:21st-century Danish mathematicians
408:Cheeger, Jeff; Colding, Tobias H.
401:Cheeger, Jeff; Colding, Tobias H.
394:Cheeger, Jeff; Colding, Tobias H.
380:Cheeger, Jeff; Colding, Tobias H.
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773:University of Pennsylvania alumni
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137:. He is the great grandchild of
555:Oswald Veblen Prize in Geometry
363:Oswald Veblen Prize in Geometry
339:(2) 167 (2008), no. 1, 211–243.
332:(2) 160 (2004), no. 1, 573–615.
325:(2) 160 (2004), no. 1, 523–572.
290:Oswald Veblen Prize in Geometry
169:. He was on the faculty at the
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518:Mathematics Genealogy Project
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318:(2) 160 (2004), no. 1, 69–92.
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221:. He began coauthoring with
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437:Colding, Tobias H. (1998).
32:1963 (age 60–61)
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217:on this work in 1998 in
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125:(born 1963) is a Danish
67:Veblen Prize in Geometry
263:University of Cambridge
251:University of Tennessee
225:at this time: first on
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763:Differential geometers
719:Fernando Codá Marques
267:University of Georgia
139:Ludwig August Colding
370:Research Prize 2016
368:Carlsberg Foundation
294:William Minicozzi II
223:William P. Minicozzi
183:Princeton University
123:Tobias Holck Colding
16:Danish mathematician
647:Richard S. Hamilton
613:James Harris Simons
445:. pp. 299–308.
387:Colding, Tobias H.
235:mean curvature flow
175:New York University
99:New York University
665:Michael J. Hopkins
553:Recipients of the
375:Major publications
296:for their work on
227:harmonic functions
131:geometric analysis
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207:Geometry Festival
181:(2000–01) and at
171:Courant Institute
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75:Scientific career
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91:Institutions
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793:1963 births
723:André Neves
713:Daniel Wise
703:Paul Seidel
671:David Gabai
589:Barry Mazur
358:ICM Speaker
249:Lecture at
245:He gave an
241:Recognition
229:, later on
159:mathematics
129:working on
85:Mathematics
43:Nationality
752:Categories
573:Raoul Bott
424:References
151:Copenhagen
36:Copenhagen
651:Gang Tian
199:manifolds
145:Biography
737:Song Sun
709:Ian Agol
488:cite web
516:at the
283:Denmark
259:Denmark
155:Denmark
347:Honors
255:Odense
219:Berlin
133:, and
81:Fields
69:(2010)
63:Awards
47:Danish
727:2019
717:2016
707:2013
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663:and
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29:Born
247:AMS
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