This is a general overview of some of the most prominent Programs in Mathematics. We give a very short (and mainly historical) account of programs proposed by Riemann (1854) Klein (1872) Poincarè (1892) Hilbert (1900/1921) Weil (1949) Langlands (1967) Grothendieck (1984) and Mori (1988). We also review some of the most famous classification programs, such as ’classification of von Neumann algebras’ (1936) ’classification of finite simple groups’ (1972) and ’classification of separable simple nuclear unital C*-algebras’ (1993). We give a short account of two programs proposed for the current century by Smale (1999) and Simon (2000). This is not a technical review and we hope to give a glimpse, or if successful, an essence of all these.

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