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Minicozzi graduated from Princeton University in 1990 and received his Ph.D. from Stanford University in 1994 under the direction of Richard Schoen . After graduating he spent a year at the Courant Institute of New York University as a visiting member where he began working with Tobias Colding on harmonic functions on Riemannian manifolds ,
work he was later invited to present at the Geometry Festival . In 1995, he went to the Johns Hopkins University ,
with a National Science Foundation postdoctoral fellowship.
Minicozzi became the J. J. Sylvester Professor of Mathematics at Johns Hopkins in 2002, and later became Krieger-Eisenhower Professor there. He turned to work on minimal surfaces , continuing to work with Tobias Colding . In 2012 he joined MIT as a professor of mathematics. Currently, they mainly work on the mean curvature flow and the Ricci flow .
In addition to his teaching and research duties, Minicozzi serves as an editor of the American Journal of Mathematics .[1]
Awards and honors [ edit ]
He won a Sloan Fellowship in 1998.
He gave an invited address on this work at the 2006 ICM in Madrid, a London Mathematical Society Spitalfields Lecture in 2007, the thirty-fifth University of Arkansas Spring Lecture Series in 2010, and an AMS invited address in Syracuse in 2010.[needs update ]
In 2010 William P. Minicozzi received the Oswald Veblen Prize in Geometry together with Tobias Colding for their work on minimal surfaces .[2] 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.
In 2012 he became a fellow of the American Mathematical Society .[3]
Selected publications [ edit ]
Colding, Tobias H.; Minicozzi, William P., II (2004). "The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. I. estimates off the Axis for Disks". Ann. of Math. 160 (1 ): 27–68. arXiv :math/0210106 . doi :10.4007/annals.2004.160.27 . MR 2119717 . S2CID 10598766 . {{cite journal }}
: CS1 maint: multiple names: authors list (link )
Colding, Tobias H.; Minicozzi, William P., II (2004). "The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. II. Multi-valued Graphs in Disks" . Ann. of Math. 160 (1 ): 69–92. doi :10.4007/annals.2004.160.69 . MR 2119718 . {{cite journal }}
: CS1 maint: multiple names: authors list (link )
Colding, Tobias H.; Minicozzi, William P., II (2004). "The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. III. Planar Domains". Ann. of Math. 160 (2 ): 523–572. arXiv :math/0210141 . doi :10.4007/annals.2004.160.523 . MR 2123932 . S2CID 13966528 . {{cite journal }}
: CS1 maint: multiple names: authors list (link )
Colding, Tobias H.; Minicozzi, William P., II (2004). "The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold. IV. Locally Simply Connected". Ann. of Math. 160 (2 ): 573–615. arXiv :math/0210119 . doi :10.4007/annals.2004.160.573 . MR 2123933 . S2CID 6455672 . {{cite journal }}
: CS1 maint: multiple names: authors list (link )
Colding, Tobias H.; Minicozzi, William P., II (2015). "The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-manifold V; Fixed genus". Ann. of Math. 181 (1 ): 1–153. arXiv :math/0509647 . doi :10.4007/annals.2015.181.1.1 . MR 3272923 . S2CID 119660597 . {{cite journal }}
: CS1 maint: multiple names: authors list (link )
Colding, Tobias H.; Minicozzi, William P., II (2008). "The Calabi-Yau Conjectures for Embedded Surfaces". Ann. of Math. 167 (1 ): 211–243. arXiv :math/0404197 . doi :10.4007/annals.2008.167.211 . MR 2373154 . S2CID 11923866 . {{cite journal }}
: CS1 maint: multiple names: authors list (link )
References [ edit ]
^ List of Fellows of the American Mathematical Society , retrieved 2013-02-04.
External links [ edit ]
William Minicozzi at the Mathematics Genealogy Project
International
National
Academics
Other
R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=William_Minicozzi&oldid=1154059096 "
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