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American mathematician (born 1977)
Jacob Alexander Lurie (born December 7, 1977) is an American mathematician who is a professor at the Institute for Advanced Study. In 2014, Lurie received
Jacob_Lurie
Mathematics text
of ∞-categories written by American mathematician Jacob Lurie. In addition to introducing Lurie's new theory of ∞-topoi, the book is widely considered
Higher_Topos_Theory
American-Canadian mathematician
Massachusetts Institute of Technology (MIT), where he was supervised by Jacob Lurie. His doctoral thesis was titled "Arithmetic Duality in Algebraic K-Theory
Dustin_Clausen
Family name
the band Looking Glass Esther Lurie (1913–1998), Israeli painter Evan Lurie (born 1954), film and TV composer Jacob Lurie (born 1977), American mathematician
Lurie
Mathematics award
Retrieved 2014-06-24. "Mathematics Breakthrough Prize > Laureates > Jacob Lurie". Archived from the original on 2014-11-01. Retrieved 2014-06-24. "Mathematics
Breakthrough Prize in Mathematics
Breakthrough_Prize_in_Mathematics
Mayor of San Francisco since 2025
Daniel Lawrence Lurie (born February 4, 1977) is an American politician and philanthropist who is the 46th and incumbent mayor of San Francisco, serving
Daniel_Lurie
Classification of topological quantum field theories
classification of extended topological quantum field theories (TQFTs). In 2008, Jacob Lurie outlined a proof of the cobordism hypothesis, though the details of his
Cobordism_hypothesis
American mathematician
about (extended) topological field theories, joint with Daniel Freed, Jacob Lurie, and Constantin Teleman. He gave invited addresses at the 1990 Winter
Michael_J._Hopkins
American computer scientist
student research projects; one of these, with Jacob Lurie, won the 1996 Westinghouse Science Talent Search for Lurie. He has co-blogged on computational complexity
William_Gasarch
homotopical methods in algebraic geometry. Together with Gabriele Vezzosi and Jacob Lurie he has laid the foundations of the subject of derived algebraic geometry
Bertrand_Toën
North American undergraduate mathematics award
Honorable mention: Samit Dasgupta (Harvard University) 2000 Winner: Jacob Lurie (Lie Algebras, Harvard University) Honorable mention: Wai Ling Yee (University
Morgan_Prize
Annual prize by the MacArthur Foundation
Long, historian of science and technology Rick Lowe, public artist Jacob Lurie, mathematician Khaled Mattawa, translator and poet Joshua Oppenheimer
MacArthur_Fellows_Program
On representability of a contravariant functor on the category of connected CW complexes
this to proving the Grothendieck duality theorem in algebraic geometry. Jacob Lurie has proved a version of the Brown representability theorem for the homotopy
Brown's representability theorem
Brown's_representability_theorem
Scripps National Spelling Bee winner
(1988) Christopher Skinner (1989) Matthew Headrick (1990) 1991–2000 Jacob Lurie (1996) Adam Cohen (1997) Natalia Toro (1999) 2001–2010 Mariangela Lisanti
Evan_O'Dorney
Conjecture in algebraic geometry
algebraic groups), thus completing the proof of Weil's conjecture. In 2011, Jacob Lurie and Dennis Gaitsgory announced a proof of the conjecture for algebraic
Weil's conjecture on Tamagawa numbers
Weil's_conjecture_on_Tamagawa_numbers
says a coherent topos has enough points. Spectral space Pyknotic set Jacob Lurie, Categorical Logic (278x). Lecture 11. Definition 6. Frot, Benjamin (2013)
Coherent_topos
finite subgroups of unbounded order (Austin, 2009) Cobordism hypothesis (Jacob Lurie, 2008) Spherical space form conjecture (Grigori Perelman, 2006) Poincaré
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Open-source textbook on algebraic geometry
(as of 2013) (Accessed 1 April 2020) Kerodon a Stacks project inspired online textbook on categorical homotopy theory maintained by Jacob Lurie v t e
Stacks_Project
Emeritus 2011- Elias A. Lowe paleographer 1936 1945 Emeritus 1945-1969 Jacob Lurie mathematician 2019 current Robert MacPherson mathematician 1994 2018
List of faculty members at the Institute for Advanced Study
List_of_faculty_members_at_the_Institute_for_Advanced_Study
American mathematician
from UC Berkeley in 2007 under the supervision of Peter Teichner and Jacob Lurie. His thesis was on derived manifolds, Spivak worked as a postdoc at the
David_Spivak
History of maths
generalization of cluster algebras. 2006 Jacob Lurie Monumental book: Higher topos theory: In its 940 pages Jacob Lurie generalizes the common concepts of category
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
American particle physicist
(1988) Christopher Skinner (1989) Matthew Headrick (1990) 1991–2000 Jacob Lurie (1996) Adam Cohen (1997) Natalia Toro (1999) 2001–2010 Mariangela Lisanti
Natalia_Toro
Gifted education program
Hallem, 2012 MacArthur Fellows Program (Genius Grant) for neurobiology Jacob Lurie, 2014 MacArthur Fellows Program (Genius Grant) for mathematics Dave Aitel
Center_for_Talented_Youth
Topics referred to by the same term
Theory, a treatise on higher category theory by American mathematician Jacob Lurie. Ho-kago Tea Time (English: After School Tea Time), the name of the school
HTT
Suburb of Cape Town, Western Cape, South Africa
2003, ISBN 0620313838 Report of the Select Committee on the Petition of Jacob Lurie, Cape Town, Cape Times Ltd., Government Printers, 1909 Tavern of the
Camps_Bay
American chemist
specifically in the development and application of combined MRI and PET. He is the Lurie FamilyProfessor of Radiology specializing in Autism Research at Harvard
Jacob_Hooker
Branch of mathematics
Gabrielle Vezzosi, Michel Vaquié, and others; and developed further by Jacob Lurie, Bertrand Toën, and Gabriele Vezzosi. Another (noncommutative) version
Algebraic_geometry
Erez Lapid Yoram Last Bernard Leclerc Chiu-Chu Melissa Liu Ivan Losev Jacob Lurie Xiaonan Ma Philip K. Maini Matilde Marcolli Peter A. Markowich [de] Gaven
List of International Congresses of Mathematicians Plenary and Invited Speakers
List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers
Mathematics, 90 (2): 205–295, doi:10.2307/1970725, JSTOR 1970725, MR 0258031 Jacob Lurie, Formal moduli problems, section 2.1 differential graded Lie algebra
Differential graded Lie algebra
Differential_graded_Lie_algebra
Generalization of category theory
quasi-categories. Recently, in 2009, the theory has been systematized further by Jacob Lurie who simply calls them infinity categories, though the latter term is
Higher_category_theory
Category whose objects are representations and whose morphisms are equivariant maps
representations of several different structures, see the main article for details. Jacob, Lurie (2004-12-14). "Tannaka Duality for Geometric Stacks". arXiv:math/0412266
Category_of_representations
Higher categorical generalization of a topos
Geometry - Charles Rezk (gives a down-enough-to-earth introduction) Lurie, Jacob (2009). Higher Topos Theory (PDF). Princeton University Press. arXiv:math/0608040
∞-topos
American college football season
LB Graduated CJ Kolodziey K/P Graduated Frank Ladson Jr. WR Graduated Jacob Lurie K Graduated Jackson Marx LS Graduated Ethan Mottinger OL Graduated Luke
2025 UMass Minutemen football team
2025_UMass_Minutemen_football_team
the formal group of that elliptic curve. A second construction, due to Jacob Lurie, constructs tmf rather by describing the moduli problem it represents
Topological_modular_forms
Generalization of a category
elaborate treatise of the theory of quasi-categories has been expounded by Jacob Lurie (2009). Quasi-categories are certain simplicial sets. Like ordinary categories
Quasi-category
Romanian-American mathematician
Arxiv, Volume 2, Volume 3, Arxiv with Daniel Freed, Michael J. Hopkins, Jacob Lurie, "Topological Quantum Field Theories from Compact Lie Groups", in P.
Constantin_Teleman
National science competition in the United States
1994 Forrest Anderson Helena, Montana 1995 Irene Chen San Diego 1996 Jacob Lurie Montgomery Blair High School 1997 Adam Cohen New York City 1998 Christopher
Regeneron Science Talent Search
Regeneron_Science_Talent_Search
Operation in cohomology theory
(PDF). Ciencias TV (2016-12-10), Informal talk in Derived Geometry (Jacob Lurie), archived from the original on 2021-12-21, retrieved 2018-04-26 James
Cup_product
Equivalence between the categories of chain complexes and simplicial abelian groups
Akhil. "The Dold–Kan correspondence" (PDF). Archived from the original (PDF) on 2016-09-13. Jacob Lurie, DAG-I Dold–Kan correspondence at the nLab v t e
Dold–Kan_correspondence
Jerzy Łoś Michael Loss Abraham S. Luchins Yuri Luchko John Edwin Luecke Jacob Lurie George Lusztig Wilhelmus Luxemburg Nancy Lynch Richard Lyons Mikhail
List of people by Erdős number
List_of_people_by_Erdős_number
American scientist
(1988) Christopher Skinner (1989) Matthew Headrick (1990) 1991–2000 Jacob Lurie (1996) Adam Cohen (1997) Natalia Toro (1999) 2001–2010 Mariangela Lisanti
Adam_Cohen_(scientist)
Public (magnet) high school in Silver Spring, Maryland, United States
Presidential Early Career Award David Hu, engineering professor at Georgia Tech Jacob Lurie, mathematics professor at Princeton University, winner of MacArthur Fellowship
Montgomery_Blair_High_School
Lebanese-Brazilian banker (1932–1999)
Edmond Jacob Safra (Arabic: إدموند يعقوب صفرا; 6 August 1932 – 3 December 1999) was a Lebanese-Brazilian billionaire banker and philanthropist. He continued
Edmond_Safra
Italian mathematician
Slightly later, this theory was reconsidered, and highly expanded by Jacob Lurie. More recently, Vezzosi together with Tony Pantev, Bertrand Toën and
Gabriele_Vezzosi
2019 American war film
The Outpost is a 2019 American war film directed by Rod Lurie, based on the 2012 non-fiction book The Outpost: An Untold Story of American Valor by Jake
The_Outpost_(2019_film)
mathematical ecologist Marie Litzinger (1899–1952), number theorist Jacob Lurie (b. 1977), developed derived algebraic geometry Saunders Mac Lane (1909–2005)
List of American mathematicians
List_of_American_mathematicians
American journalist (born 1969)
Jacob Paul Tapper (born March 12, 1969) is an American journalist. He is the lead Washington anchor for CNN, hosts the weekday television news show The
Jake_Tapper
Mayor of Minneapolis since 2018 (born 1981)
Jacob Lawrence Frey (born July 23, 1981) is an American politician and attorney who has served since 2018 as the 48th mayor of Minneapolis. A member of
Jacob_Frey
global solutions of a system of non-linear differential equations)." Jacob Lurie's topological chiral homology gives an analog for manifolds. Ran space
Chiral_homology
American mathematician (born 1951)
(1988) Christopher Skinner (1989) Matthew Headrick (1990) 1991–2000 Jacob Lurie (1996) Adam Cohen (1997) Natalia Toro (1999) 2001–2010 Mariangela Lisanti
Lane_P._Hughston
American physicist (born 1963)
Breakthrough Prize laureates Mathematics Simon Donaldson, Maxim Kontsevich, Jacob Lurie, Terence Tao and Richard Taylor (2015) Ian Agol (2016) Jean Bourgain
Charles_L._Kane
Basic result in the representation theory of Lie groups
Mathematics, EMS Press, 2001 [1994] A Proof of the Borel–Weil–Bott Theorem, by Jacob Lurie. Retrieved on Jul. 13, 2014. Serre, Jean-Pierre (1954) [1951], "Représentations
Borel–Weil–Bott_theorem
Graduate-level textbooks in mathematics
Kato, Sampei Usui 2008-12-07 352 9780691138220 170 Higher Topos Theory Jacob Lurie 2009-07-26 944 9780691140490 171 Outer Billiards on Kites Richard Evan
Annals_of_Mathematics_Studies
Vistoli 2004, Definition 2.57. Jacob Lurie. Tannaka duality for geometric stacks. http://math.harvard.edu/~lurie/ Archived 2017-07-03 at the Wayback
Glossary_of_category_theory
Lukacs (1906–1987), statistician Yudell Luke (1918–1983), function theory Jacob Lurie (born 1977), mathematician; Breakthrough Prize (2014) George Lusztig
List_of_Jewish_mathematicians
American pediatric neurologist
(1988) Christopher Skinner (1989) Matthew Headrick (1990) 1991–2000 Jacob Lurie (1996) Adam Cohen (1997) Natalia Toro (1999) 2001–2010 Mariangela Lisanti
Nina_F._Schor
Mathematical formal group law
Zbl 0312.12022. "Morava E-Theory and Morava K-Theory (Lecture 22)" (PDF). Jacob Lurie. April 27, 2010. Retrieved September 27, 2020. de Shalit, Ehud (1987)
Lubin–Tate_formal_group_law
Non-linear generalization of a Hilbert space
A Course in Metric Geometry. American Mathematical Society. (1984) Jacob Lurie: Notes on the Theory of Hadamard Spaces Alexander S., Kapovich V., Petrunin
Hadamard_space
Theorem relating to algebraic topology
E_{\infty }} -ring spectra. As of 2010, the best progress was made by Jacob Lurie. If X is an algebraic stack and X → M f g {\displaystyle X\to {\mathcal
Landweber exact functor theorem
Landweber_exact_functor_theorem
Springer, 2001, 2nd printing of the first edition 1979. Jacob Lurie's lecture notes on a von Neumann algebra at https://www.math.ias.edu/~lurie/261y.html
Von Neumann bicommutant theorem
Von_Neumann_bicommutant_theorem
Generalisation of a sheaf; a fibered category that admits effective descent
resulting stacky objects are called derived stacks (or spectral stacks). Jacob Lurie's under-construction book Spectral Algebraic Geometry studies a generalization
Stack_(mathematics)
December 1, 2007. Retrieved January 3, 2008. "Cameron Carson". ESPN.com. "Jacob Lurie". ESPN.com. "Derek Morris". ESPN.com. "Cooper Garcia". ESPN.com. Retrieved
UMass Minutemen football statistical leaders
UMass_Minutemen_football_statistical_leaders
University 2025 László Lovász Alfred Renyi Institute of Mathematics 2012 Jacob Lurie Institute for Advanced Study 2020 George Lusztig Massachusetts Institute
List of members of the National Academy of Sciences (mathematics)
List_of_members_of_the_National_Academy_of_Sciences_(mathematics)
category theory useful, such as adjoint functors and universal properties. Jacob Lurie (2010) This purpose of this book is twofold: to provide a general introduction
List of publications in mathematics
List_of_publications_in_mathematics
Branch of mathematics
supersymmetric and holomorphic field theories in dimensions 2 and 4 Jacob Lurie's Home Page Overview of Spectral Algebraic Geometry DAG reading group
Derived_algebraic_geometry
Cohomology class
approach organizes this structure via operads, while the recent approach of Jacob Lurie deals with it using ∞ {\displaystyle \infty } -operads in ∞ {\displaystyle
Highly structured ring spectrum
Highly_structured_ring_spectrum
Mathematics timeline
is a reformulation of the cobordism hypothesis. 2008 Michael Hopkins–Jacob Lurie Sketch of proof of the Baez–Dolan tangle hypothesis and the Baez–Dolan
Timeline_of_manifolds
Techniques in topology used to produce one finite-dimensional manifold from another
Regensburg Blockseminar on Surgery theory on the Manifold Atlas Project Jacob Lurie's 2011 Harvard surgery course Lecture notes Andrew Ranicki's homepage
Surgery_theory
Natural number
Oxford, UK: Oxford University Press. ISBN 0198503415. Gaitsgory, Dennis; Lurie, Jacob (2019). Weil's Conjecture for Function Fields (Volume I). Annals of Mathematics
1
President of the United States from 1909 to 1913
175. Lurie, p. 50. Lurie, pp. 52–55. Burton 2004, pp. 35–37. Pringle vol 1, pp. 242–247. Pringle vol 1, pp. 251–255. Coletta 1973, pp. 6–7. Lurie, p. 64
William_Howard_Taft
American actor (born 1951)
neighborhood where the show is set, North Caldwell, Essex County.[dead link] Lurie, M.N.; Siegel, M.; Mappen, M. (2004). Encyclopedia of New Jersey. Rutgers
Joe_Piscopo
Zionist political activist (1879–1935)
named after Nathan Mileikowsky. Nathan and his wife Sarah Mileikowsky (née Lurie) had nine children, including: Benzion Netanyahu (the father of Iddo, Yonatan
Nathan_Mileikowsky
2022 American-British mystery film
Mel Gibson, Morena Baccarin, Lucy Fry, Rupert Friend, Dominic Monaghan, Jacob Scipio and Clancy Brown. After spending three years without human contact
Last_Looks
Retrieved January 1, 2026. Li, Han (February 25, 2026). "'An actual moderate': Lurie ally and former Trump appointee enters SF congressional race". The San Francisco
2026 United States House of Representatives elections in California
2026_United_States_House_of_Representatives_elections_in_California
American actor (born 1976)
Washington, D.C. on September 20, 1976 to a Jewish family. He is a son of Joan Lurie (née Marx) and Eric Lawrence "Rick" Bernthal, a former lawyer with Latham
Jon_Bernthal
Soviet dissident and Russian historian
as a literary secretary to the writer Natalia Dolinina and Professor Jacob Lurie. On 12 August 1981, Roginsky was arrested under Article 196 ("the forgery
Arseny_Roginsky
Mayor of Seattle since 2026
Andrew Ginther (D) Columbus, OH Rob Harrington (D) Charlotte, NC Daniel Lurie (D) San Francisco, CA Craig Greenberg (D) Louisville, KY* Katie Wilson (D)
Katie_Wilson
Mathematical concept
ISBN 978-3-7643-3092-7, MR 0670072 Lurie, Jacob (2014), Tamagawa Numbers via Nonabelian Poincaré Duality Gaitsgory, Dennis; Lurie, Jacob (2019), Weil's Conjecture
Tamagawa_number
is a polynomial ring. l-adic sheaf smooth topology Gaitsgory, Dennis; Lurie, Jacob (2019), Weil's Conjecture for Function Fields (PDF), Annals of Mathematics
Cohomology_of_a_stack
2026). "Roadside Attractions & Saban Take North America To Rod Davis Lurie's 'Lucky Strike'". Deadline Hollywood. Retrieved March 27, 2026. Dodge, Jeff
List of American films of 2026
List_of_American_films_of_2026
American entrepreneur and investor (born 1985)
Democratic nomination. On November 18, 2024, San Francisco Mayor-Elect Daniel Lurie named him to his transition team. In December 2024, Altman donated $1 million
Sam_Altman
American dramatist (1853–1909)
Man), 1893 Captain Dreyfus; Pogrom, Late 1890s "Di litvishe brider lurie" (The Lurie Brothers from Lithuania), 1894 Zelig itzik, der fidler, free adaptation
Jacob_Gordin
2008 Australian film
costs him his position. The film received generally positive reviews. David Lurie (John Malkovich) is an ageing white professor teaching Romantic literature
Disgrace_(2008_film)
American family
History Pritzker Department of Psychiatry and Behavioral Health in the Lurie Children's Hospital The Pritzker Estate List of largest houses in the Los
Pritzker_family
Categorical treatment of topological spaces
is equipped with the compact-open topology. (Lurie 2009) Infinity category Simplicial category Lurie, Jacob (2009), Higher topos theory, Annals of Mathematics
Topological category (enriched category theory)
Topological_category_(enriched_category_theory)
http://iml.univ-mrs.fr/~wasserm/ Jacob Lurie's lecture notes on a von Neumann algebra at https://www.math.ias.edu/~lurie/261y.html https://mathoverflow
Glossary of functional analysis
Glossary_of_functional_analysis
American technology company
Goldberg died in 2015. Following Goldberg’s death, in May 2015, Zander Lurie was named interim executive chairman of SurveyMonkey. He had served on SurveyMonkey’s
SurveyMonkey
1995 comedy film directed by Barry Sonnenfeld
Greyboy and Medeski Martin & Wood alongside original compositions by John Lurie. The soundtrack was nominated for a Grammy Award for Best Instrumental Composition
Get_Shorty_(film)
Israeli painter (1913–1998)
Esther Lurie (Hebrew: אסתר לוריא; 1913 – 14 February 1998) was an Israeli painter. After studying theatre set design and drawing in Belgium, and immigrating
Esther_Lurie
Israeli-American mathematician
American Mathematical Society. ISBN 978-1-4704-3569-1. Gaitsgory, Dennis; Lurie, Jacob (19 February 2019). Weil's Conjecture for Function Fields: Volume I (AMS-199)
Dennis_Gaitsgory
Topological manifold with a piecewise smooth structure
(McMullen 1997), while a short but detailed proof is given in (Lurie 2009). Lurie, Jacob (February 13, 2009), Whitehead Triangulations (Lecture 3) (PDF)
Piecewise-smooth_manifold
1993 film
serving as the Los Angeles area. Jennifer Jacob, the girl appearing nude in the pool scene with Evan Lurie, was the daughter of the owner of the house
American_Kickboxer_2
Category in category theory
Cambridge University Press, (1994) Lurie 2009, Definition 5.4.2.1. Lurie 2009, Corollary 5.4.3.6. Lurie, Jacob (2009). Higher Topos Theory. Princeton
Accessible_quasi-category
1994 film
T-Force is destroyed Athens (R. David Smith). Upon learning this Adam (Evan Lurie), one of the members of T-Force, goes too far and shoots a disarmed and
T-Force_(film)
Mayor of New York City since 2026
Archived from the original on May 30, 2025. Retrieved November 4, 2025. Kaye, Jacob; Schwach, Ryan; Powelson, Noah (November 5, 2024). "Queens Dem incumbents
Zohran_Mamdani
On the cohomology ring of the moduli stack of principal bundles
1098/rsta.1983.0017. MR 0702806. S2CID 13601126. Gaitsgory, Dennis; Lurie, Jacob (2019), Weil's Conjecture for Function Fields (PDF), Annals of Mathematics
Atiyah–Bott_formula
cohomology" (PDF). Archived from the original (PDF) on January 14, 2014. Lurie, Jacob (2009). Higher Topos Theory. Annals of Mathematics Studies. Vol. 170
Nonabelian_cohomology
Jewish synagogue in California, United States
Hellman Florence Prag Kahn Simon Koshland Philip N. Lilienthal Bob Lurie Daniel Lurie Isaac Magnin Raphael Peixotto Julie Rosewald Nell Sinton Douglas W
Congregation Emanu-El (San Francisco)
Congregation_Emanu-El_(San_Francisco)
The 2-category of Differential Graded Schemes". arXiv:math/0212226. Lurie, Jacob (2018). "Spectral Algebraic Geometry (under construction)" (PDF). v t
Étale_spectrum
stacks: a global overview, arXiv:math/0604504, Bibcode:2006math......4504T Lurie, Jacob (2004). Derived Algebraic Geometry (Thesis). Massachusetts Institute
Derived_stack
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