This book, the second in the series of proceedings of Soviet Regional Conferences, contains papers presented at the Second Siberian Winter School: Algebra and Analysis, held at Tomsk State University in 1989. The papers touch on a variety of topics, including Lie algebras and Lie groups, sheaves, superalgebras, graded Lie algebras, Teichmuller theory, nonstandard functional analysis, hyperbolic geometry, $p$-adic $L$-functions, automorphic forms, and resolution of singularities.