Jacob Lurie
| Jacob Lurie | |
|---|---|
 Lurie in 2005 | |
| Born |
7 December 1977 Washington, D.C. |
| Nationality | American |
| Fields | Mathematics |
| Institutions | Harvard University |
| Alma mater |
Massachusetts Institute of Technology Harvard College |
| Doctoral advisor | Michael J. Hopkins |
| Notable awards | Morgan Prize (2000) |
Jacob Alexander Lurie (born 7 December 1977) is an American mathematician, who is a professor at Harvard University.[1]
Life
In seventh grade, Lurie participated in Johns Hopkins University's Center for Talented Youth. While in high school, Lurie took part in the International Mathematical Olympiad, where he won a gold medal with a perfect score in 1994. He performed slightly worse in 1995, but still managed to win a silver medal. In 1996 he took first place in the Westinghouse Science Talent Search and was featured in a front-page story in Washington Times.[2] He graduated from the Science, Mathematics, and Computer Science Magnet Program at Montgomery Blair High School. Lurie earned his Bachelor's degree in mathematics from Harvard College in 2000 and was awarded in the same year the Morgan Prize for his undergraduate thesis on Lie algebras.[3] He earned his Ph.D. from the Massachusetts Institute of Technology under supervision of Michael J. Hopkins, in 2004 with a thesis on derived algebraic geometry. In 2007, he became associate professor at MIT, and in 2009 he became professor at Harvard.
Mathematical work
Lurie's research interests started with logic and the theory of surreal numbers, while he was still in school.
He is especially known for his work, starting with his thesis, on infinity-categories and derived algebraic geometry. Derived algebraic geometry is a way of infusing homotopical methods into algebraic geometry both to get deeper insight into algebraic geometry (e.g. into intersection theory) and to use methods of algebraic geometry in stable homotopy theory. The latter is the topic of Lurie's work on elliptic cohomology. Infinity categories (in the form of Joyal's quasi-categories) are a convenient framework to do homotopy theory in abstract settings. They are the main topic of his book Higher Topos Theory.
Another part of Lurie's work, is his article on topological field theories, where he sketches a classification of extended field theories using the language of infinity-categories.
In groundbreaking joint work with Dennis Gaitsgory, he used his Nonabelian Poincare duality in an algebraic-geometric setting to prove the Siegel mass formula for function fields.
Publications
- Lurie, Jacob (2009), Higher topos theory, Annals of Mathematics Studies 170, Princeton University Press, arXiv:math.CT/0608040, ISBN 978-0-691-14049-0; 978-0-691-14049-0 Check
|isbn=value (help), MR 2522659
References
- ↑ "Jacob Lurie Named Professor of Mathematics at Harvard", Harvard University, December 18, 2008.
- ↑ Lacharite, Gretchen (March 12, 1996), "Unreal mind gets top prize in science: Bethesda teen wins talent search", Washington Times.
- ↑ ——— (2001). "On simply laced Lie algebras and their minuscule representations". Commentarii Mathematici Helvetici 76 (3): 515–575. doi:10.1007/PL00013217.
External links
- Lurie's website at Harvard
- Jacob Lurie at the Mathematics Genealogy Project
- Jacob Lurie's results at the International Mathematical Olympiad
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