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<!doctype html public "-//w3c//dtd html 4.0 transitional//en"> <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> <meta name="GENERATOR" content="Mozilla/4.7 [en] (WinNT; I) [Netscape]"> <meta name="Author" content="Department of Applied Research"> <meta name="KeyWords" content="science, mathematics, mathematical physics, symmetry"> <title>Department of Applied Research</title> </head> <body> <center> <h1> <b><font color="#FF0000"><font size=+2>The Department of Mathematical Physics</font></font> </b></h1></center> <center><font size=+1><b>(former Department of Applied Research)</b></font> </center> <h3> <font size=+1>We are a scientific department at the </font><a href="https://www.imath.kiev.ua">Institute of Mathematics</a> of National Academy of Sciences of Ukraine.</h3> <h3> <font size=+0>The basic interests of our research group are</font></h3> <ul> <li> various methods of construction of exact solutions to partial differential equations, including Lie, higher and non-classical symmetries, super- and parasupersymmetries, Backlund transformations, etc.</li> <li> exactly and quasiexactly solvable models in quantum mechanics</li> <li> symmetry reduction of partial differential equations</li> <li> representations of Lie algebras</li> <li> interplay between symmetries and integrability</li> <li> mathematical problems of statistical mechanics and quantum field theory, infinite-dimensional analysis, stochastic dynamics </li> <li> equilibrium quantum and stochastic particle systems, oscillators, flat rotators and spins </li> <li> singular perturbations, dynamical systems with conflict interaction. </li> <p><font size=+1>List of scientific seminars of our Department see <a href="https://events.imath.kiev.ua/category/22/">here</a>.</font> <p><font size=+1>The founder and the first head of our department was Wilhelm Fushchych (see his <a href="https://www.imath.kiev.ua/~fushchych">memorial page</a>).</font> <h4> Every two years since 1995 our department, as part of Institute of Mathematics, organises the international conference</h4> <h3> <a href="https://www.imath.kiev.ua/~appmath/conf.html">Symmetry in Nonlinear Mathematical Physics</a></h3> <h4> Please send <a href="mailto: appmath@imath.kiev.ua">here</a> your comments and suggestions concerning this page.</h4> </body> </html>