James Lepowsky

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]

James Lepowsky
Born (1944-07-05) July 5, 1944
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

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

Notes
  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.

References
  • Frenkel, Igor; Lepowsky, James; Meurman, Arne (1988). Vertex operator algebras and the Monster. Pure and Applied Mathematics. Vol. 134. Boston: Academic Press. ISBN 0-12-267065-5.
  • Li, Haisheng; Lepowsky, James (2004). Introduction To Vertex Operator Algebras And Their Representations. Progress in Mathematics. Birkhäuser. ISBN 0-8176-3408-8.


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