Igor Frenkel

Yale University — United States

Mathematics · Physical Sciences

32h-index6.9kcitations129works0.02yr avg
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Research Topics

Algebraic structures and combinatorial models(79), Advanced Topics in Algebra(66), Nonlinear Waves and Solitons(36), Advanced Algebra and Geometry(34), Algebraic and Geometric Analysis(16)

Publications128 total

Quasi regular functions in quaternionic analysis
Journal of Functional Analysis·2026
Perspectives on the past, present, and future of representation theory and mathematical physics: An interview of Igor Frenkel by Joshua Sussan
Contemporary mathematics - American Mathematical Society·2025
Quasi Regular Functions in Quaternionic Analysis
arXiv (Cornell University)·2024Open Access
Sketch of a Program for Automorphic Functions from Universal Teichmüller Theory to Capture Monstrous Moonshine
Communications in Mathematical Physics·2022· 5 citedOpen Access
Canonical basis and homology of local systems
UNC Libraries·2021Open Access
Three dimensional construction of the Virasoro-Bott group
arXiv (Cornell University)·2021Open Access
Quaternionic analysis, representation theory and physics II
Advances in Theoretical and Mathematical Physics·2021· 18 cited
Sketch of a Program for Universal Automorphic Functions to Capture Monstrous Moonshine
arXiv (Cornell University)·2020· 3 citedOpen Access
n-Regular functions in quaternionic analysis
International Journal of Mathematics·2020Open Access
Quaternionic Analysis, Representation Theory and Physics II
arXiv (Cornell University)·2019Open Access
A Categorification of the Boson–Fermion Correspondence via Representation Theory of sl(∞)
Communications in Mathematical Physics·2015· 17 citedOpen Access
Anti De Sitter Deformation of Quaternionic Analysis and the Second-Order Pole
International Mathematics Research Notices·2014· 2 citedOpen Access
Anti De Sitter Deformation of Quaternionic Analysis and the Second Order\n Pole
arXiv (Cornell University)·2014Open Access
Quantum group $\mathrm{GL}_q(2)$ and quantum Laplace operator via semi-infinite cohomology
Journal of Noncommutative Geometry·2013· 2 citedOpen Access
On The Continuous Series for $${{\widehat{sl(2,{\mathbb{R}})}}}$$ s l ( 2 , R ) ^
Communications in Mathematical Physics·2013· 2 citedOpen Access
Positive Representations of Split Real Quantum Groups and Future Perspectives
International Mathematics Research Notices·2013· 6 citedOpen Access
On the continuous series for $\hat{sl(2,\mathbb{R})}$
arXiv (Cornell University)·2012Open Access
Categorifying fractional Euler characteristics, Jones–Wenzl projectors and $3j$-symbols
Quantum Topology·2012· 52 citedOpen Access
Vertex algebras associated to modified regular representations of the Virasoro algebra
Advances in Mathematics·2012· 17 cited
Positive representations of split real quantum groups and future\n perspectives
arXiv (Cornell University)·2011Open Access
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Frequent Co-authors

Mikhail Khovanov(6), Catharina Stroppel(5), James Lepowsky(4), Alex J. Feingold(4), Pavel Etingof(3), Arne Meurman(3), Matvei Libine(3), Joshua Sussan(3), Naihuan Jing(2), John F. X. Ries(2), Joseph Bernstein(2), Alexander Kirillov(2), Yi-Zhi Huang(1), Victor G. Kač(1), Yongchang Zhu(1), Nicolai Reshetikhin(1), Alexander Kirillov(1), Jintai Ding(1), Howard Garland(1), Gregg J. Zuckerman(1)