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- AF+BG theorem (algebraic geometry)
- ATS theorem (number theory)
- Abel's binomial theorem (combinatorics)
- Abel's curve theorem (mathematical analysis)
- Abel's theorem (mathematical analysis)
- Abelian and tauberian theorems (mathematical analysis)
- Abel–Jacobi theorem (algebraic geometry)
- Abel–Ruffini theorem (theory of equations, Galois theory)
- Abhyankar–Moh theorem (algebraic geometry)
- Abouabdillah's theorem (geometry,number theory)
- Absolute convergence theorem (mathematical series)
- Acyclic models theorem (algebraic topology)
- Addition theorem (algebraic geometry)
- Adiabatic theorem (physics)
- Ado's theorem (Lie algebra)
- Ahiezer's theorem (complex analysis)
- Akra–Bazzi theorem (computer science)
- Albert–Brauer–Hasse–Noether theorem (algebras)
- Alchian–Allen theorem (economics)
- Alperin–Brauer–Gorenstein theorem (finite groups)
- Amitsur–Levitzki theorem (linear algebra)
- Analytic Fredholm theorem (functional analysis)
- Anderson's theorem (real analysis)
- Andreotti–Frankel theorem (algebraic geometry)
- Angle bisector theorem (Euclidean geometry)
- Ankeny–Artin–Chowla theorem (number theory)
- Apéry's theorem (number theory)
- Apollonius' theorem (plane geometry)
- Appell–Humbert theorem (complex manifold)
- Area theorem (conformal mapping) (complex analysis)
- Arithmetic Riemann–Roch theorem (algebraic geometry)
- Aronszajn–Smith theorem (functional analysis)
- Arrival theorem (queueing theory)
- Arrow's impossibility theorem (game theory)
- Art gallery theorem (geometry)
- Artin approximation theorem (commutative algebra)
- Artin–Schreier theorem (real closed fields)
- Artin–Wedderburn theorem (abstract algebra)
- Artin–Zorn theorem (algebra)
- Artstein's theorem (control theory)
- Arzelà–Ascoli theorem (functional analysis)
- Atiyah–Bott fixed-point theorem (differential topology)
- Atiyah–Segal completion theorem (homotopy theory)
- Atiyah–Singer index theorem (elliptic differential operators, harmonic analysis)
- Atkinson's theorem (operator theory)
- Aumann's agreement theorem (statistics)
- Autonomous convergence theorem (dynamical systems)
- Auxiliary polynomial theorem (diophantine approximation)
- Ax–Grothendieck theorem (model theory)
- Ax–Kochen theorem (number theory)
- Aztec diamond theorem (combinatorics)
Read more about this topic: List Of Theorems