This journal publishes high-level articles in fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory. It supplies the English-reading audience with up-to-the minute information on Siberian achievements in mathematics, including exposition of works that might otherwise prove difficult to obtain.
Part of the content of Siberian Advances in Mathematics contains translations of the Russian journal Mathematicheskie Trudy published by the Sobolev Institute of Mathematics. It also features original papers.