# nLab Alexander Varchenko

Alexander Varchenko is a mathematician at the University of North Carolina at Chapel Hill; he was a student of Vladimir Arnold. His work is at the boundary of geometry, special functions, combinatorics, representation theory and mathematical physics.

## Selected writings

On the hypergeometric integral construction of solutions to the Knizhnik-Zamolodchikov equation:

• Vadim Schechtman, Alexander Varchenko, Integral representations of N-point conformal correlators in the WZW model, Max-Planck-Institut für Mathematik, (1989) Preprint MPI/89- $[$cds:1044951$]$

• Vadim Schechtman, Alexander Varchenko, Hypergeometric solutions of Knizhnik-Zamolodchikov equations, Lett. Math. Phys. 20 (1990) 279–283 $[$doi:10.1007/BF00626523$]$

• Vadim Schechtman, Alexander Varchenko, Arrangements of hyperplanes and Lie algebra homology, Inventiones mathematicae 106 1 (1991) 139-194 $[$dml:143938, pdf$]$

On Lie algebra weight systems for the special linear Lie algebra $\mathfrak{sl}(2)$:

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