Varchenko, Alexander

1. Critical Points of the Product of Powers of Linear Functions and Families of Bases of Singular Vectors
   1993/12/14 by Alexander Varchenko, Varchenko, Alexander · 2 citations
   Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Nonlinear Waves and Solitons
2. Quasiclassical asymptotics of solutions to the KZ equations
   1994/02/22 by Reshetikhin, Nicolai, Varchenko, Alexander · 1 citation
   #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)
3. Elliptic Selberg integrals
   2001/03/30 by Giovanni Felder, Laura Stevens, Felder, Giovanni +3 · 1 citation
   Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CA #math.QA
4. 3d Mirror Symmetry and Elliptic Stable Envelopes
   2019/02/10 by Richárd Rimányi, Rimányi, Richárd, Andrey Smirnov +5 · 4 citations
   Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Representation Theory (math.RT)
5. Periodic and quasi-motivic pencils of flat connections
   2024/01/01 by Pavel Etingof, Etingof, Pavel, Alexander Varchenko +1 · 3 citations
   Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum Algebra (math.QA) #Representation Theory (math.RT)
6. The p-adic approximations of vertex functions via 3D-mirror symmetry
   2023/02/06 by Smirnov, Andrey, Varchenko, Alexander · 1 citation
   #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Number Theory (math.NT) #Representation Theory (math.RT)
7. Polynomial superpotential for Grassmannian Gr(k,n) from a limit of vertex function
   2023/05/05 by Andrey S. Smirnov, Alexander Varchenko, Smirnov, Andrey +1 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
8. Solutions of KZ differential equations modulo p
   2017/07/09 by Schechtman, Vadim, Varchenko, Alexander · 1 citation
   #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #Quantum Algebra (math.QA)
9. On the Satake correspondence for the equivariant quantum differential equations and qKZ difference equations of Grassmannians
   2024/09/15 by Giordano Cotti, Alexander Varchenko, Cotti, Giordano +1 · 3 citations
   Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models
10. Hypergeometric Integrals Modulo p and Hasse--Witt Matrices
    2020/01/19 by Slinkin, Alexey, Varchenko, Alexander · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT)
11. The orthogonality and qKZB-heat equation for traces of U_q(g)-intertwiners
    2003/02/06 by Pavel Etingof, Alexander Varchenko, Etingof, Pavel +1 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA
12. q-Hypergeometric solutions of quantum differential equations, quantum\n Pieri rules, and Gamma theorem
    2017/10/09 by Vitaly Tarasov, Tarasov, Vitaly, Alexander Varchenko +1 · 1 citation
    Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory
13. p-curvature of periodic pencils of flat connections
    2024/01/11 by Pavel Etingof, Etingof, Pavel, Alexander Varchenko +1 · 1 citation
    Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Number Theory (math.NT) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
14. Bethe Ansatz for Arrangements of Hyperplanes and the Gaudin Model
    2004/07/30 by Alexander Varchenko, Varchenko, Alexander · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA