In mathematics, resolvent meaning "that which resolves" may refer to:
- Resolvent formalism in operator theory
- Resolvent set in operator theory, the set of points where an operator is "well-behaved"
- Feller process#Resolvent in probability theory
- Resolvent (Galois theory) of an equation for a permutation group, in particular:
- Resolvent quadratic of a cubic equation
- Resolvent cubic of a quartic equation
- Resolvent (logic), the clause produced by a resolution