Ravi Vakil
Ravi Vakil ( born February 22, 1970 in Toronto ) is a Canadian mathematician who deals with algebraic geometry.
Life
Vakil walked in Etobicoke, Ontario to school and studied at the University of Toronto (Master degree in 1992 ) and Harvard University, where he received his doctorate at Joe Harris 1997 ( Enumerative geometry of curves via degeneration methods ). After that, he was instructor at Princeton University and the Massachusetts Institute of Technology (1998 to 2001 as a Moore Instructor ). Since 2001 he is Assistant Professor and since 2007 professor at Stanford University.
As a student he was part of the Canadian team at the International Mathematical Olympiad, where he won a silver medal two gold and. As a student he was four consecutive Putnam Fellow as a result of William Lowell Putnam competition.
Work
It deals with many aspects of algebraic geometry, including the Schubert calculus of enumerative geometry of algebraic curves in projective space ( the subject of the Hilbert problems ), where he solved some long open problems. He found, among other things, that all the problems of counting out of points are in a complex Grassmannvarietät real nature in the section of Schubert varieties. He also dealt with Gromov -Witten invariants, Intersection Theory in the sense of William Fulton and Robert MacPherson and moduli spaces of curves and their singularities.
Prices
He was Sloan Fellow, was from 2008 to 2013 Packard Fellow, recipient of the 2001 /02 AMS Centennial Fellowship, 2003-2008 a Career Grant from the National Science Foundation and in 2005 he was awarded the André Aisenstadt Prize of the Centre de Recherches Mathématiques of the University of Toronto. In 2008 he received the Coxeter - James Prize of the Canadian Mathematical Society and he received the G. de B. Robinson Award for Characteristic numbers of quartic plane curves. It dissolves in the last part of a conjecture of Hieronymus Georg Zeuthen (1873 ) on the characteristic numbers of flat smooth curves of degree d ( d is less than or equal to 4 ), ie, the number of these curves that pass through a given point and b given straight line as tangents have (all in general position ). In 2004 he received the Presidential Early Career Award for Scientists and Engineers ( PECASE ) of the U.S. president.
In 1980 he was awarded the Lester Randolph Ford Award. He's Polya Lecturer of the Mathematical Association of America ( MAA) for the years 2012 to 2014. For 2014, the Chauvenet Prize he was awarded for The Mathematics of Doodling. Vakil is a Fellow of the American Mathematical Society.
Writings
- A mathematical mosaic: patterns and problem solving, Mathematical Association of America ( MAA) 1997, 2nd edition 2007
- With Kentaro Hori, Sheldon Katz, Albrecht Klemm, Aahul Pandharipande, Richard Thomas, Cumrun Vafa, Eric Zaslow Mirror Symmetry, American Mathematical Society 2003
- Publisher Snowbird Lectures in Algebraic Geometry, Contemporary Mathematics, Volume 388, American Mathematical Society 2005 ( Snowbird Conference 2004)
- With D. Abramovich, M. Marino, M. Thaddeus, K. Behrend, M. Manetti Enumerative invariants in algebraic geometry and string theory, CIME Summer School 2005, Lecture Notes in Mathematics, Vol 1947, Springer Verlag 2008
- The moduli space of curves and its tautological ring, Notices AMS, June / July 2003 Online