52 citations · 270 across the 46 of their papers we have counts for
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Twisted de Rham Complex on Line and Singular Vectors in Verma Modules
Alexey Slinkin, Alexander Varchenko
We consider two complexes. The first complex is the twisted de Rham complex of scalar meromorphic differential forms on projective line, holomorphic on the complement to a finite s…
Critical points of master functions and mKdV hierarchy of type
Alexander Varchenko, Tyler Woodruff
We consider the population of critical points, generated from the critical point of the master function with no variables, which is associated with the trivial representation of th…
Dynamical elliptic Bethe algebra, KZB eigenfunctions, and theta-polynomials
Daniel Thompson, Alexander Varchenko
Let be the zero weight subspace of a tensor product of finite-dimensional irreducible -modules. The dynamical elliptic Bethe algebra is a com…
Hyperelliptic integrals modulo and Cartier-Manin matrices
Alexander Varchenko
The hypergeometric solutions of the KZ equations were constructed almost 30 years ago. The polynomial solutions of the KZ equations over the finite field with a prime number…