List of mathematical theories

See also: Glossary of areas of mathematics

This is a list of mathematical theories.

• Algebraic K-theory
• Almgren–Pitts min-max theory
• Approximation theory
• Asymptotic theory
• Automata theory
• Bifurcation theory
• Braid theory
• Brill–Noether theory
• Catastrophe theory
• Category theory
• Chaos theory
• Character theory
• Choquet theory
• Class field theory
• Coding theory
• Cohomology theory
• Complexity theory
• Computation theory
• Control theory
• Deformation theory
• Dimension theory
• Distribution theory
• Dynamical systems theory
• Elimination theory
• Extremal graph theory
• Field theory
• Galois theory
• Game theory
• Graph theory
• Grothendieck's Galois theory
• Group theory
• Hodge theory
• Homology theory
• Homotopy theory
• Information theory
• Invariant theory
• K-theory
• Knot theory
• L-theory
• Local class field theory
• M-theory
• Matrix theory
• Measure theory
• Model theory
• Morse theory
• Module theory
• Network theory
• Nevanlinna theory
• Number theory
• Obstruction theory
• Operator theory
• Optimization theory
• Order theory
• Percolation theory
• Perturbation theory
• Probability theory
• Proof theory
• Quantum theory
• Queue theory
• Recursion theory
• Relational theory
• Representation theory
• Ring theory
• Scheme theory
• Seiberg–Witten theory
• Semigroup theory
• Set theory
• Sheaf theory
• Singularity theory
• Spectral theory
• String theory
• Sturm-Liouville theory
• Surgery theory
• Theory of equations
• Topos theory
• Transcendental number theory
• Twistor theory
• Type theory
• Universal theory