Vladimir Baranovsky
· ProfessorUniversity of California, Irvine · Mathematics
Active 1994–2023
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About
Vladimir Baranovsky is a faculty professor at UCI Mathematics, with a research area focused on Algebra and Number Theory. His contact email is vbaranov@math.uci.edu, and he is associated with the Department of Mathematics at the University of California, Irvine. Further details about his background, specific research contributions, or academic history are not provided on the page.
Research topics
- Computer Science
- Mathematics
- Pure mathematics
- Mathematical analysis
- Political Science
- Geometry
Selected publications
Quantization of line bundles on lagrangian subvarieties
Selecta Mathematica · 2015-08-06 · 20 citations
article1st authorCorrespondingGerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections
Mathematical Research Letters · 2010-01-01 · 16 citations
articleOpen access1st authorCorrespondingLet Y, Z be a pair of smooth coisotropic subvarieties in a smooth algebraic Poisson variety X. We show that any data of first order deformation of the structure sheaf O X to a sheaf of noncommutative algebras and of the sheaves O Y and O Z to sheaves of right and left modules over the deformed algebra, respectively, gives rise to a Batalin-Vilkoviski algebra structure on the Tor-sheaf T or O X q (O Y , O Z ). The induced Gerstenhaber bracket on the Tor-sheaf turns out to be canonically defined;…
Graph homology and graph configuration spaces
Journal of Homotopy and Related Structures · 2012-04-23 · 11 citations
articleOpen access1st authorCorrespondingDEFORMATION OF LINE BUNDLES ON COISOTROPIC SUBVARIETIES
The Quarterly Journal of Mathematics · 2011-04-07 · 5 citations
article1st authorCorrespondingWe prove a criterion stating when a line bundle on a smooth coisotropic subvariety Y of a smooth variety X with algebraic Poisson structure admits first- and second-order deformation quantizations.
Russia and the World: 2020. Annual Forecast: Economy and Foreign Policy
Primakov National Research Institute of World Economy and International Relations, Russian Academy of Sciences (IMEMO), 23, Profsoyuznaya Str., Moscow, 117997, Russian Federation eBooks · 2019-01-01 · 4 citations
bookOpen access1st authorCorrespondingНАЦИОНАЛЬНЫЙ ИССЛЕДОВАТЕЛЬСКИЙ ИНСТИТУТ МИРОВОЙ ЭКОНОМИКИ И МЕЖДУНАРОДНЫХ ОТНОШЕНИЙ имени
Frequent coauthors
- 15 shared
Victor Ginzburg
- 7 shared
Jeremy Pecharich
Pomona College
- 3 shared
Radmila Sazdanović
- 3 shared
Alexander Kuznetsov
- 3 shared
D. Kaledin
- 2 shared
Scott Stetson
- 2 shared
Tihomir Petrov
California State University System
- 2 shared
Sam Evens
Labs
Education
- 1990
Ph.D., Mathematics
University of California, Irvine
- 1986
M.S., Mathematics
University of California, Irvine
- 1984
B.S., Mathematics
University of California, Irvine
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