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James Lepowsky information


James Lepowsky
Born (1944-07-05) July 5, 1944 (age 79)
New York City
Alma materMassachusetts Institute of Technology
Scientific career
ThesisRepresentations of semisimple Lie groups and an enveloping algebra decomposition (1970)
Doctoral advisorsBertram Kostant
Sigurdur Helgason

James Lepowsky (born July 5, 1944) is a professor of mathematics at Rutgers University, New Jersey. Previously he taught at Yale University. He received his Ph.D. from Massachusetts Institute of Technology in 1970 where his advisors were Bertram Kostant and Sigurdur Helgason. Lepowsky graduated from Stuyvesant High School in 1961,[1] 16 years after Kostant.[2] His current research is in the areas of infinite-dimensional Lie algebras and vertex algebras. He has written several books on vertex algebras and related topics. In 1988, in a joint work with Igor Frenkel and Arne Meurman, he constructed the monster vertex algebra (also known as the Moonshine module). His PhD students include Stefano Capparelli, Yi-Zhi Huang, Haisheng Li, Arne Meurman, and Antun Milas.[3]

In 2012, he became a fellow of the American Mathematical Society.[4]

  1. ^ "Stuyvesant Math Team". Archived from the original on October 1, 2007. Retrieved October 31, 2007.
  2. ^ "Professor Kostant's Homepage". MIT Math Department. Retrieved October 31, 2007.
  3. ^ James Lepowsky at the Mathematics Genealogy Project
  4. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-27.

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James Lepowsky

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James Lepowsky (born July 5, 1944) is a professor of mathematics at Rutgers University, New Jersey. Previously he taught at Yale University. He received...

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Monstrous moonshine

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moonshine module (or monster vertex algebra) constructed by Igor Frenkel, James Lepowsky, and Arne Meurman in 1988, which has the monster group as its group...

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Arne Meurman

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together with Igor Frenkel and James Lepowsky. He is interested in chess.[citation needed] Igor Frenkel, James Lepowsky, Arne Meurman, "Vertex operator...

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Monster vertex algebra

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acted on by the monster group that was constructed by Igor Frenkel, James Lepowsky, and Arne Meurman. R. Borcherds used it to prove the monstrous moonshine...

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Igor Frenkel

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of the American Academy of Arts and Sciences. In collaboration with James Lepowsky and Arne Meurman, he constructed the monster vertex algebra, a vertex...

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Richard Borcherds

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Bibcode:1998math......8136G. ISSN 1431-0635.. "Richard Borcherds". James Lepowsky, "The Work of Richard Borcherds", Notices of the American Mathematical...

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List of American mathematicians

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equations; president of the Association for Women in Mathematics, 2001–2003 James Lepowsky (b. 1944) Marie Litzinger (1899–1952), number theorist Jacob Lurie (b...

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Bertram Kostant

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Hochschild homology of some algebras. His students include James Harris Simons, James Lepowsky, Moss Sweedler, David Vogan, and Birgit Speh. At present...

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String theory

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theory in an essential way, extending earlier results of Igor Frenkel, James Lepowsky, and Arne Meurman, who had realized the monster group as the symmetries...

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Vertex operator algebra

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introduced as a modification of the notion of vertex algebra, by Frenkel, James Lepowsky, and Arne Meurman in 1988, as part of their project to construct the...

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List of Stuyvesant High School people

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United States National Academy of Sciences (University of Michigan) James Lepowsky (1961) – lie theory (Rutgers University) Peter Shalen (1962) – low-dimensional...

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List of International Congresses of Mathematicians Plenary and Invited Speakers

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N. Krasovskii Nicolai V. Krylov R. P. Langlands David G. Larman James Lepowsky James P. Lin Eduard Looijenga Angus J. Macintyre Ib Madsen G. S. Makanin...

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Generalized Verma module

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representation theory of Lie algebras. They were studied originally by James Lepowsky in the 1970s. The motivation for their study is that their homomorphisms...

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List of Guggenheim Fellowships awarded in 1987

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Arts Hyam Lerner Leffert Medicine & Health Stephen R. Leone Chemistry James Lepowsky Mathematics Richard M. Lerman Video & Audio Shirley Robin Letwin Law...

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Monster Lie algebra

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doi:10.1073/pnas.83.10.3068. PMC 323452. PMID 16593694. Frenkel, Igor; Lepowsky, James; Meurman, Arne (1988). Vertex operator algebras and the Monster. Pure...

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Egalitarianism

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Equality of opportunity. Metaphysics Research Lab, Stanford University. Lepowsky, Maria (1993). Fruit of the Motherland: Gender in an Egalitarian Society...

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Robert Arnott Wilson

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Fischer-Griess Monster; Individual Grant Review GR/R95265/01" (PDF). 2004. Lepowsky, James; McKay, John; Tuite, Michael P., eds. (2010). "New computations in...

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Baby monster group

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history of the sporadic simple groups", in Corwin, L.; Gelfand, I. M.; Lepowsky, James (eds.), The Gelʹfand Mathematical Seminars, 1990–1992, Boston, MA:...

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Kizh

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(PDF) from the original on December 12, 2019. Retrieved May 31, 2019. Lepowsky, M. (2004). "Indian revolts and cargo cults: Ritual violence and revitalization...

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Timothy Gowers

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"Timothy Gowers - Biography". Maths History. Retrieved 6 March 2023. Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John (January 1999)...

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Puvunga

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"Architectural Narrative: "Rancho Los Alamitos"" (PDF). Rancho los Alamitos: 2. Lepowsky, Maria (2012). The restless anthropologist : new fieldsites, new visions...

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Early infanticidal childrearing

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gazes between parent and child, observed by Robert B. Edgerton, Maria Lepowsky, Bruce Knauft, John W. M. Whiting, and Margaret Mead, among others. Such...

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Tongva language

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from the original on September 26, 2021. Retrieved September 26, 2021. Lepowsky, M. (2004). "Indian revolts and cargo cults: Ritual violence and revitalization...

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Tongva

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as "Fernandeño," because they were covered by that mission. Citations Lepowsky, M. (2004). "Indian revolts and cargo cults: Ritual violence and revitalization...

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