Jacob Lurie

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.{{Citation |title=Perfect Score for Americans in World Math Tourney |newspaper=New York Times |date=July 20, 1994 |last=Dillon |first=Sam |url=https://www.nytimes.com/1994/07/20/us/perfect-score-for-americans-in-world-math-tourney.html }}. In 1996 he took first place in the Westinghouse Science Talent Search and was featured in a front-page story in the Washington Times.{{Citation |title=Unreal mind gets top prize in science: Bethesda teen wins talent search |newspaper=Washington Times |date=March 12, 1996 |last=Lacharite |first=Gretchen |url=https://www.questia.com/read/1G1-56826719 |access-date=January 7, 2019 |archive-date=December 12, 2019 |archive-url=https://web.archive.org/web/20191212055453/https://www.questia.com/read/1G1-56826719 |url-status=dead }}.

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.{{cite journal |last=Lurie |first=Jacob |year=2001 |title=On simply laced Lie algebras and their minuscule representations |journal=Commentarii Mathematici Helvetici |volume=76 |issue=3 |pages=515–575 |doi=10.1007/PL00013217 |url=http://www.math.harvard.edu/~lurie/papers/thesis.pdf|mr=1854697 |s2cid=8543203 |doi-access=free }} 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.{{Citation |url=http://www.fas.harvard.edu/home/news-and-notices/news/press-releases/release-archive/releases-2008/lurie-12182008.shtml |title=Jacob Lurie Named Professor of Mathematics at Harvard |work=Harvard University |date=December 18, 2008 }}.{{cite news|last1=Bradt|first1=Steve|title=Algebra, topology expert Lurie named professor of mathematics| url=http://news.harvard.edu/gazette/story/2008/12/algebra-topology-expert-lurie-named-professor-of-mathematics/|access-date=June 24, 2014|publisher=Harvard Gazette|date=December 18, 2008}} In 2019, he joined the Institute for Advanced Study as a permanent faculty member in mathematics.{{Cite web|url=https://www.ias.edu/press-releases/2019/lurie-appointment|title=Jacob Lurie, Trailblazing Mathematician, Joins Faculty of the Institute for Advanced Study|website=Institute for Advanced Study|date=June 11, 2019 |language=en|access-date=2019-08-05}}

Lurie is Jewish.{{cite book|title=American Jewish Year Book 2015: The Annual Record of the North American Jewish Communities|volume=115|editor1-first=Arnold|editor1-last=Dashefsky|editor2-first=Ira M.|editor2-last=Sheskin|publisher=Springer|page=848|isbn=978-3-319-24505-8|doi=10.1007/978-3-319-24505-8|year=2016|url=https://books.google.com/books?id=gaqFCwAAQBAJ}}

Lurie's research interests started with logic and the theory of surreal numbers when he was in high school.{{Cite web|url=https://www.ams.org/notices/199607/comm-conway.pdf|title=Budding Mathematician Wins Westinghouse Competition|last1=Conway|first1=John H.|last2=Jackson|first2=Allyn|date=July 1996|publisher=Notices of the American Mathematical Society|access-date=2016-09-26}} 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."{{cite web|title=Five Winners Receive Inaugural Breakthrough Prize in Mathematics|url=https://breakthroughprize.org/?controller=Page&action=news&news_id=18|website=Breakthrough Prize|access-date=June 24, 2014|archive-url=https://web.archive.org/web/20140624214039/https://breakthroughprize.org/?controller=Page&action=news&news_id=18|archive-date=June 24, 2014|url-status=dead}} Lurie was also awarded a MacArthur "genius grant" Fellowship in 2014.{{cite web|title=Jacob Lurie - MacArthur Fellow 2014|url=http://www.macfound.org/fellows/921/|publisher=MacArthur Foundation|access-date=17 September 2014}}{{cite news |last1=Shay |first1=Kevin James |title=Blair alum wins prestigious MacArthur fellowship |url=http://www.gazette.net/gazettecms/story.php?id=8508 |access-date=30 August 2018 |date=September 29, 2014 |archive-date=August 31, 2018 |archive-url=https://web.archive.org/web/20180831035448/http://www.gazette.net/gazettecms/story.php?id=8508 |url-status=dead }}

• {{Citation | last1=Lurie | first1=Jacob | title=Higher Topos Theory | arxiv=math.CT/0608040 | publisher=Princeton University Press | series=Annals of Mathematics Studies | isbn=978-0-691-14049-0 | mr=2522659 | year=2009 | volume=170| title-link=Higher Topos Theory }}
• Lurie, Jacob (2017), Higher Algebra
• Lurie, Jacob (2018), Spectral Algebraic Geometry

{{Reflist}}

• [https://www.ias.edu/scholars/lurie Lurie's website at the Institute for Advanced Study]
• [http://www.math.harvard.edu/~lurie/ Lurie's website at Harvard] ([http://math.ias.edu/~lurie/ Jacob Lurie's Home Page])
• {{MathGenealogy|name=Jacob Lurie|id=84215}}
• {{IMO results|id=1143}}

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