2016 - Fellow of the American Academy of Arts and Sciences
2013 - Fellow of the American Mathematical Society
His main research concerns Pure mathematics, Algebra, Quantum group, Hopf algebra and Lie algebra. His Pure mathematics research integrates issues from Discrete mathematics and Group. His research integrates issues of Quantization and Yang–Baxter equation in his study of Algebra.
He usually deals with Quantum group and limits it to topics linked to Quasitriangular Hopf algebra and Representation theory of Hopf algebras. His Hopf algebra research incorporates themes from Zero, Universality, Tensor and Indecomposable module. His Lie algebra research includes elements of Associative property, Noncommutative quantum field theory, Abstract algebra, Braid group and Principal bundle.
His primary areas of study are Pure mathematics, Algebra, Hopf algebra, Quantum group and Lie algebra. As a member of one scientific family, Pavel Etingof mostly works in the field of Pure mathematics, focusing on Quantum and, on occasion, Mathematical physics. He studies Algebra, focusing on Affine transformation in particular.
Pavel Etingof has included themes like Quasitriangular Hopf algebra, Division algebra, Prime, Group algebra and Algebraically closed field in his Hopf algebra study. The concepts of his Quantum group study are interwoven with issues in Quantum affine algebra, Universal enveloping algebra, Algebra representation and Representation theory of Hopf algebras. His Universal enveloping algebra study combines topics from a wide range of disciplines, such as Affine Lie algebra, Subalgebra, Cellular algebra and Lie conformal algebra.
Pavel Etingof focuses on Pure mathematics, Hopf algebra, Symmetric tensor, Algebraically closed field and Combinatorics. Many of his studies on Pure mathematics apply to Type as well. His study in Hopf algebra is interdisciplinary in nature, drawing from both Representation theory of Hopf algebras, Finite group, Prime, Quantum group and Quotient category.
His Quantum group research incorporates elements of Discrete mathematics and Non-associative algebra. His Algebraically closed field research also works with subjects such as
Pavel Etingof spends much of his time researching Pure mathematics, Hopf algebra, Symmetric tensor, Algebraically closed field and Functor. Pavel Etingof has researched Pure mathematics in several fields, including Finite group and Rank. As part of the same scientific family, Pavel Etingof usually focuses on Hopf algebra, concentrating on Commutative property and intersecting with Representation theory of Hopf algebras, Comodule, Commutative algebra, Invariant and Quadratic growth.
His Symmetric tensor study integrates concerns from other disciplines, such as Vector space, Exact functor, Combinatorics and Tensor product. His studies deal with areas such as Ring and Zero as well as Functor. Group is a subfield of Algebra that Pavel Etingof studies.
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On fusion categories
Pavel Etingof;Dmitri Nikshych;Viktor Ostrik.
Annals of Mathematics (2005)
Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
Pavel Etingof;Victor Ginzburg.
Inventiones Mathematicae (2002)
Fusion categories and homotopy theory
Pavel Etingof;Dmitri Nikshych;Victor Ostrik.
Quantum Topology (2010)
Finite Tensor Categories
Pavel Etingof;Viktor Ostrik.
Moscow Mathematical Journal (2004)
Quantization of Lie bialgebras, II
Pavel Etingof;David Kazhdan.
Selecta Mathematica-new Series (1996)
Set-theoretical solutions to the quantum Yang-Baxter equation
Pavel Etingof;Travis Schedler;Alexandre Soloviev.
Duke Mathematical Journal (1999)
Lectures on quantum groups
Pavel I. Etingof;Olivier Schiffmann.
Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations
Pavel Etingof;Igor Frenkel;Alexander Kirillov.
WEAKLY GROUP-THEORETICAL AND SOLVABLE FUSION CATEGORIES
Pavel I. Etingof;Dmitri Nikshych;Viktor Ostrik.
Advances in Mathematics (2011)
Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential
Alexander Braverman;Alexander Braverman;Pavel Etingof.
arXiv: Algebraic Geometry (2006)
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