In mathematics, particularly in algebraic geometry and differential geometry, a **moduli space** is a geometric space that parametrizes a family of algebraic structures, such as curves, vector bundles, or more generally, geometrical objects. The idea is to organize the objects of a particular type into a space, where each point in this space corresponds to a distinct structure (often up to some kind of equivalence).
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A space parametrizing isomorphism classes of geometric objects. Its topology and possible stabilizers are part of the definition; a moduli space of Riemann surfaces forgets the marking retained by Teichmüller space.