E. Mukhin
Mathematics · Indiana University
Publications
197
Citations
2,767
Est. group size
—
Recurring co-author estimate
Active years
50
Publishing since 1977
E. Mukhin works in pure mathematics at the intersection of algebra and mathematical physics, studying algebraic structures such as quantum affine algebras, Yangians, and quantum toroidal algebras and their representations. Much of the research concerns equations arising in physics (like the qKZ and Knizhnik-Zamolodchikov equations) and related combinatorial and geometric objects such as opers and Plücker coordinates. The work is highly theoretical, combining representation theory, algebra, and integrable systems.
Publication activity has remained steady over the past decade, averaging roughly five to six papers per year with year-to-year fluctuations.
Generated by claude-opus-4-8 from public bibliographic data · Jul 11, 2026
- Finding All Solutions of qKZ Equations in Characteristic $p$
Symmetry Integrability and Geometry Methods and Applications · 2026
- Monodromy free Schrödinger operators and affine $\mathfrak{sl}_2$ master functions
arXiv (Cornell University) · 2026
- Monodromy free Schrödinger operators and affine $\mathfrak{sl}_2$ master functions
arXiv (Cornell University) · 2026
- Athinization of irreducible $\widehat{\mathfrak{gl}}_n$-modules with dominant highest weights
arXiv (Cornell University) · 2026
- Q-functions for lambda opers
Letters in Mathematical Physics · 2025
- Intertwiners of representations of untwisted quantum affine algebras and Yangians revisited
Journal of Mathematical Physics · 2025
- Intertwiners of representations of twisted quantum affine algebras
Journal of Mathematical Physics · 2025
- Positivity and Universal Plücker Coordinates for Spaces of Quasi-Exponentials
International Mathematics Research Notices · 2025
- $p$-curvature operators and Satake-type phenomenon for $\frak{sl}_2$ KZ equations with $κ=\pm 2$
arXiv (Cornell University) · 2025
- On representations of quantum affine $\mathfrak{sl}_2$
arXiv (Cornell University) · 2025
- Extensions of Deformed W-algebras via qq-characters
Transformation Groups · 2024
- Commutative subalgebra of a shuffle algebra associated with quantum toroidal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>
Journal of Pure and Applied Algebra · 2024
- Representations of quantum toroidal superalgebras and plane s-partitions
Communications in Contemporary Mathematics · 2024
- Combinatorial bases in quantum toroidal $\mathfrak{gl}_2$ modules
arXiv (Cornell University) · 2024
- Solutions of the sl2${\mathfrak {sl}_2}$<i>qKZ</i> equations modulo an integer
Journal of the London Mathematical Society · 2024
- arXiv (Cornell University)×23
- UNC Libraries×5
- Journal of Mathematical Physics×3
- Advances in Mathematics×2
- Journal of Physics A Mathematical and Theoretical×2
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 11, 2026.
Claim or correct this profile