List of mathematical theories

This is a list of mathematical theories.

• Almgren–Pitts min-max theory

• Approximation theory

• Arakelov theory

• Artin–Schreier theory

• Asymptotic theory

• Automata theory

• Bass–Serre theory

• Bifurcation theory

• Braid theory

• Brill–Noether theory

• Catastrophe theory

• Category theory

• Chaos theory

• Character theory

• Choquet theory

• Class field theory

• Cobordism theory

• Coding theory

• Cohomology theory

• Complex function theory

• Complexity theory

• Computation theory

• Continuum theory

• Control theory

• Deformation theory

• Dempster-Shafer theory

• Dimension theory

• Distribution theory

• Dynamical systems theory

• Elimination theory

• Ergodic theory

• Extremal graph theory

• Field theory

• Formal language theory

• Fourier theory

• Galois theory

• Game theory

• Graph theory

• Grothendieck's Galois theory

• Group theory

• Hodge theory

• Homology theory

• Homotopy theory

• Ideal theory

• Index theory

• Information theory

• Invariant theory

• Iwasawa theory

• K-theory

• Knot theory

• L-theory

• Lattice theory

• Lie theory

• M-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

• Ramsey theory

• Random matrix theory

• Recursion theory

• Relational theory

• Representation theory

• Ring theory

• Scheme theory

• Seiberg–Witten theory

• Semigroup theory

• Set theory

• Shape theory

• Sheaf theory

• Singularity theory

• Soliton theory

• Spectral theory

• String theory

• Sturm-Liouville theory

• Surgery theory

• Teichmüller theory

• Theory of equations

• Theory of statistics

• Topos theory

• Transcendental number theory

• Twistor theory

• Type theory

• Universal theory

• Wheel theory