The journal will publish papers presenting new mathematical results in mathematical physics analysis and geometry with particular reference to: mathematical problems of statistical physics fluids etc. complex function theory operators in function space especially operator algebras ordinary and partial differential equations differential and algebraic geometry. Papers which are too abstract will be discouraged. Review articles on new mathematical results will be welcome. The journal will accept two types of manuscripts: Full length papers giving a comprehensive description of original work. Short communications for rapid publication of novel observations. In addition Perspectives Reviews and Conference Reports are published occasionally.