Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser

Abstract

The paper is dedicated to the memory of prominent theoretical physicist and mathematician Dr. Vadim Kuznetsov who worked, in particular, in the fields of the nonlinear dynamics, separation of variables, integrability theory, special functions. It includes his short research biography, an account of the start of his research career and the list of publications.

arXiv commentThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (17)

• Nonequilibrium Cooper pairing in the nonadiabatic regime
• Linear $r$-matrix algebra for classical separable systems
• Separation of variables for the Ruijsenaars system
• Integrable dynamics of coupled Fermi-Bose condensates
• Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system
• Factorization of symmetric polynomials
• Separation of variables for the Dn type periodic Toda lattice
• Separation of variables and Bäcklund transformations for the symmetric Lagrange top
• Gauss hypergeometric function and quadratic $R$-matrix algebras
• Separation of variables and integral relations for special functions
• Simultaneous separation for the Kowalevski and Goryachev-Chaplygin gyrostats
• Gauss hypergeometric function and quadratic R-matrix algebras
• Eigenproblem for Jacobi matrices: hypergeometric series solution
• Inverse problem for sl(2) lattices
• Separation of variables and the XXZ Gaudin magnet
• Separation of variables in the $A_2$ type Jack polynomials
• Kowalevski top revisited