What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Algebra
- Geometry
Algebra, Pure mathematics, Algebra representation, Quantum affine algebra and Current algebra are his primary areas of study.
His research brings together the fields of Mathematical physics and Algebra.
Pure mathematics is closely attributed to Quantum in his work.
His studies deal with areas such as Affine Lie algebra, Particle physics and representation theory and Restricted representation as well as Algebra representation.
Edward Frenkel combines subjects such as Discrete mathematics, Combinatorics and Homomorphism with his study of Quantum affine algebra.
His Current algebra study integrates concerns from other disciplines, such as Cohomology, Quantum group and Subalgebra.
His most cited work include:
- Vertex Algebras and Algebraic Curves (657 citations)
- Gaudin model, Bethe ansatz and critical level (299 citations)
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS (292 citations)
What are the main themes of his work throughout his whole career to date?
Edward Frenkel focuses on Pure mathematics, Algebra, Affine transformation, Langlands dual group and Quantum affine algebra.
His work in the fields of Pure mathematics, such as Geometric Langlands correspondence, Langlands program, Subalgebra and Lie algebra, overlaps with other areas such as Duality.
His Lie algebra study deals with Mathematical physics intersecting with Cohomology, Poisson bracket, Type and Quantum.
His Algebra study combines topics from a wide range of disciplines, such as Current algebra, Affine Lie algebra, Algebra representation and Virasoro algebra.
His work carried out in the field of Algebra representation brings together such families of science as Universal enveloping algebra and Filtered algebra.
His biological study spans a wide range of topics, including Bethe ansatz and Affine representation.
He most often published in these fields:
- Pure mathematics (57.58%)
- Algebra (34.85%)
- Affine transformation (20.20%)
What were the highlights of his more recent work (between 2010-2021)?
- Pure mathematics (57.58%)
- Langlands dual group (17.68%)
- Langlands program (12.12%)
In recent papers he was focusing on the following fields of study:
Edward Frenkel mostly deals with Pure mathematics, Langlands dual group, Langlands program, Duality and Quantum affine algebra.
His Pure mathematics research incorporates themes from Quantum and Algebra.
In general Algebra study, his work on Quotient stack often relates to the realm of Gromov–Witten invariant, thereby connecting several areas of interest.
His research in Langlands dual group intersects with topics in Differential operator, Lie algebra and Affine transformation.
His Langlands program research includes themes of Vertex operator algebra, Simple Lie group and Gerbe.
His research integrates issues of Ring, Bethe ansatz, Subalgebra and Affine representation in his study of Quantum affine algebra.
Between 2010 and 2021, his most popular works were:
- BAXTER'S RELATIONS AND SPECTRA OF QUANTUM INTEGRABLE MODELS (93 citations)
- Surface Operators and Separation of Variables (57 citations)
- Quantum q-Langlands Correspondence (45 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Algebra
- Geometry
His primary scientific interests are in Pure mathematics, Langlands dual group, Quantum affine algebra, Duality and Geometric Langlands correspondence.
His study in Vertex operator algebra and Integrable system is carried out as part of his Pure mathematics studies.
His research is interdisciplinary, bridging the disciplines of Lie algebra and Langlands dual group.
Edward Frenkel has researched Lie algebra in several fields, including Differential operator, Schrödinger's cat and Affine transformation.
Quantum affine algebra is closely attributed to Eigenvalues and eigenvectors in his research.
His Geometric Langlands correspondence study combines topics in areas such as Affine Lie algebra, String theory and Lie conformal algebra.
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