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- Edward Frenkel

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
51
Citations
9,557
155
World Ranking
750
National Ranking
374

2014 - Fellow of the American Academy of Arts and Sciences

2014 - Fellow of the American Mathematical Society For contributions to representation theory, conformal field theory, affine Lie algebras, and quantum field theory.

1995 - Fellow of Alfred P. Sloan Foundation

- 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.

- 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)

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.

- Pure mathematics (57.58%)
- Algebra (34.85%)
- Affine transformation (20.20%)

- Pure mathematics (57.58%)
- Langlands dual group (17.68%)
- Langlands program (12.12%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Vertex Algebras and Algebraic Curves

Edward Vladimir Frenkel;David Ben-Zvi.

**(2000)**

846 Citations

Quantization of the Drinfeld-Sokolov reduction

Boris Feigin;Edward Frenkel.

Physics Letters B **(1990)**

433 Citations

Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction

Edward Frenkel;Victor Kac;Minoru Wakimoto.

Communications in Mathematical Physics **(1992)**

359 Citations

Affine Kac-Moody algebras and semi-infinite flag manifolds

Boris L. Geigin;Edward V. Frenkel.

Communications in Mathematical Physics **(1990)**

335 Citations

AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS

Boris Feigin;Edward Frenkel.

International Journal of Modern Physics A **(1992)**

330 Citations

Gaudin model, Bethe ansatz and critical level

Boris Feigin;Edward Frenkel;Nikolai Reshetikhin.

Communications in Mathematical Physics **(1994)**

327 Citations

Quantum $\scr W$-algebras and elliptic algebras

Boris Feigin;Edward Frenkel.

Communications in Mathematical Physics **(1996)**

288 Citations

Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1

Edward Frenkel;Nikolai Reshetikhin.

Communications in Mathematical Physics **(1996)**

275 Citations

Lectures on the Langlands program and conformal field theory

Edward Frenkel.

arXiv: High Energy Physics - Theory **(2005)**

245 Citations

The q-characters of representations of quantum affine algebras and deformations of W-algebras

Edward Frenkel;Nicolai Reshetikhin.

arXiv: Quantum Algebra **(1998)**

229 Citations

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