Jacob Lurie
Jacob Lurie | |
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Lurie in 2005 | |
Born | (1977-12-07) December 7, 1977 (age 46) Washington, D.C., U.S. |
Alma mater | Harvard University (BA) Massachusetts Institute of Technology (PhD) |
Awards | Morgan Prize (2000) Breakthrough Prize in Mathematics (2014) MacArthur Fellowship (2014) |
Scientific career | |
Fields | Algebraic geometry |
Institutions | Massachusetts Institute of Technology Harvard University Institute for Advanced Study |
Thesis | Derived algebraic geometry (2004) |
Doctoral advisor | Michael J. Hopkins |
Jacob Alexander Lurie (born December 7, 1977) is an American mathematician who is a professor at the Institute for Advanced Study.[1] In 2014, Lurie received a MacArthur Fellowship.
Life
When he was a student in the Science, Mathematics, and Computer Science Magnet Program at Montgomery Blair High School, Lurie took part in the International Mathematical Olympiad, where he won a gold medal with a perfect score in 1994.[2] In 1996 he took first place in the Westinghouse Science Talent Search and was featured in a front-page story in the Washington Times.[3]
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.[4] 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 University.[5][6] In 2019, he joined the Institute for Advanced Study as a permanent faculty member in mathematics.[7]
Mathematical work
Lurie's research interests started with logic and the theory of surreal numbers while he was still in high school.[8] He is best 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, with two purposes: deeper insight into algebraic geometry (e.g. into intersection theory) and the use of methods of algebraic geometry in stable homotopy theory. The latter area is the topic of Lurie's work on elliptic cohomology. Infinity categories (in the form of André 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 (cobordism hypothesis). In joint work with Dennis Gaitsgory, he used his non-abelian Poincaré duality in an algebraic-geometric setting, to prove the Siegel mass formula for function fields.
Lurie was one of the inaugural winners of the Breakthrough Prize in Mathematics in 2014, "for his work on the foundations of higher category theory and derived algebraic geometry; for the classification of fully extended topological quantum field theories; and for providing a moduli-theoretic interpretation of elliptic cohomology."[9] Lurie was also awarded a MacArthur "genius grant" Fellowship in 2014.[10][11]
Publications
- Lurie, Jacob (2009), Higher Topos Theory, Annals of Mathematics Studies, vol. 170, Princeton University Press, arXiv:math.CT/0608040, ISBN 978-0-691-14049-0, MR 2522659
- Lurie, Jacob (2017), Higher Algebra
- Lurie, Jacob (2018), Spectral Algebraic Geometry
References
- ^ "Jacob Lurie". Institute for Advanced Study. Retrieved August 5, 2019.
- ^ Dillon, Sam (July 20, 1994), "Perfect Score for Americans in World Math Tourney", New York Times.
- ^ Lacharite, Gretchen (March 12, 1996), "Unreal mind gets top prize in science: Bethesda teen wins talent search", Washington Times.
- ^ Lurie, Jacob (2001). "On simply laced Lie algebras and their minuscule representations" (PDF). Commentarii Mathematici Helvetici. 76 (3): 515–575. doi:10.1007/PL00013217. MR 1854697. S2CID 8543203.
- ^ "Jacob Lurie Named Professor of Mathematics at Harvard", Harvard University, December 18, 2008.
- ^ Bradt, Steve (December 18, 2008). "Algebra, topology expert Lurie named professor of mathematics". Harvard Gazette. Retrieved June 24, 2014.
- ^ "Jacob Lurie, Trailblazing Mathematician, Joins Faculty of the Institute for Advanced Study". Institute for Advanced Study. Retrieved August 5, 2019.
- ^ Conway, John H.; Jackson, Allyn (July 1996). "Budding Mathematician Wins Westinghouse Competition" (PDF). Notices of the American Mathematical Society. Retrieved September 26, 2016.
- ^ "Five Winners Receive Inaugural Breakthrough Prize in Mathematics". Breakthrough Prize. Archived from the original on June 24, 2014. Retrieved June 24, 2014.
- ^ "Jacob Lurie - MacArthur Fellow 2014". MacArthur Foundation. Retrieved September 17, 2014.
- ^ Shay, Kevin James (September 29, 2014). "Blair alum wins prestigious MacArthur fellowship". Retrieved August 30, 2018.
External links
- Lurie's website at the Institute for Advanced Study
- Lurie's website at Harvard (Jacob Lurie's Home Page)
- Jacob Lurie at the Mathematics Genealogy Project
- Jacob Lurie's results at International Mathematical Olympiad
- v
- t
- e
- Simon Donaldson, Maxim Kontsevich, Jacob Lurie, Terence Tao and Richard Taylor (2015)
- Ian Agol (2016)
- Jean Bourgain (2017)
- Christopher Hacon, James McKernan (2018)
- Vincent Lafforgue (2019)
- Alex Eskin (2020)
- Martin Hairer (2021)
- Takuro Mochizuki (2022)
- Daniel A. Spielman (2023)
- Simon Brendle (2024)
physics
- Nima Arkani-Hamed, Alan Guth, Alexei Kitaev, Maxim Kontsevich, Andrei Linde, Juan Maldacena, Nathan Seiberg, Ashoke Sen, Edward Witten (2012)
- Special: Stephen Hawking, Peter Jenni, Fabiola Gianotti (ATLAS), Michel Della Negra, Tejinder Virdee, Guido Tonelli, Joseph Incandela (CMS) and Lyn Evans (LHC) (2013)
- Alexander Polyakov (2013)
- Michael Green and John Henry Schwarz (2014)
- Saul Perlmutter and members of the Supernova Cosmology Project; Brian Schmidt, Adam Riess and members of the High-Z Supernova Team (2015)
- Special: Ronald Drever, Kip Thorne, Rainer Weiss and contributors to LIGO project (2016)
- Yifang Wang, Kam-Biu Luk and the Daya Bay team, Atsuto Suzuki and the KamLAND team, Kōichirō Nishikawa and the K2K / T2K team, Arthur B. McDonald and the Sudbury Neutrino Observatory team, Takaaki Kajita and Yōichirō Suzuki and the Super-Kamiokande team (2016)
- Joseph Polchinski, Andrew Strominger, Cumrun Vafa (2017)
- Charles L. Bennett, Gary Hinshaw, Norman Jarosik, Lyman Page Jr., David Spergel (2018)
- Special: Jocelyn Bell Burnell (2018)
- Charles Kane and Eugene Mele (2019)
- Special: Sergio Ferrara, Daniel Z. Freedman, Peter van Nieuwenhuizen (2019)
- The Event Horizon Telescope Collaboration (2020)
- Eric Adelberger, Jens H. Gundlach and Blayne Heckel (2021)
- Special: Steven Weinberg (2021)
- Hidetoshi Katori and Jun Ye (2022)
- Charles H. Bennett, Gilles Brassard, David Deutsch, Peter W. Shor (2023)
- John Cardy and Alexander Zamolodchikov (2024)
- Cornelia Bargmann, David Botstein, Lewis C. Cantley, Hans Clevers, Titia de Lange, Napoleone Ferrara, Eric Lander, Charles Sawyers, Robert Weinberg, Shinya Yamanaka and Bert Vogelstein (2013)
- James P. Allison, Mahlon DeLong, Michael N. Hall, Robert S. Langer, Richard P. Lifton and Alexander Varshavsky (2014)
- Alim Louis Benabid, Charles David Allis, Victor Ambros, Gary Ruvkun, Jennifer Doudna and Emmanuelle Charpentier (2015)
- Edward Boyden, Karl Deisseroth, John Hardy, Helen Hobbs and Svante Pääbo (2016)
- Stephen J. Elledge, Harry F. Noller, Roeland Nusse, Yoshinori Ohsumi, Huda Zoghbi (2017)
- Joanne Chory, Peter Walter, Kazutoshi Mori, Kim Nasmyth, Don W. Cleveland (2018)
- C. Frank Bennett and Adrian R. Krainer, Angelika Amon, Xiaowei Zhuang, Zhijian Chen (2019)
- Jeffrey M. Friedman, Franz-Ulrich Hartl, Arthur L. Horwich, David Julius, Virginia Man-Yee Lee (2020)
- David Baker, Catherine Dulac, Dennis Lo, Richard J. Youle [de] (2021)
- Jeffery W. Kelly, Katalin Karikó, Drew Weissman, Shankar Balasubramanian, David Klenerman and Pascal Mayer (2022)
- Clifford P. Brangwynne, Anthony A. Hyman, Demis Hassabis, John Jumper, Emmanuel Mignot, Masashi Yanagisawa (2023)
- Carl June, Michel Sadelain, Sabine Hadida, Paul Negulescu, Fredrick Van Goor, Thomas Gasser, Ellen Sidransky and Andrew Singleton (2024)