G
- Galvin's theorem (combinatorics)
- Gauss theorem (vector calculus)
- Gauss's Theorema Egregium (differential geometry)
- Gauss–Bonnet theorem (differential geometry)
- Gauss–Lucas theorem (complex analysis)
- Gauss–Markov theorem (statistics)
- Gauss–Wantzel theorem (geometry)
- Gelfand–Mazur theorem (Banach algebra)
- Gelfand–Naimark theorem (functional analysis)
- Gelfond–Schneider theorem (transcendence theory)
- Gershgorin circle theorem (matrix theory)
- Gibbard–Satterthwaite theorem (voting methods)
- Girsanov's theorem (stochastic processes)
- Glaisher's theorem (number theory)
- Gleason's theorem (Hilbert space)
- Glivenko's theorem (mathematical logic)
- Glivenko–Cantelli theorem (probability)
- Goddard–Thorn theorem (vertex algebras)
- Gödel's completeness theorem (mathematical logic)
- Gödel's incompleteness theorem (mathematical logic)
- Godunov's theorem (numerical analysis)
- Going-up and going-down theorems (commutative algebra)
- Goldberg–Sachs theorem (physics)
- Goldie's theorem (ring theory)
- Goldstine theorem (functional analysis)
- Goldstone theorem (physics)
- Golod–Shafarevich theorem (group theory)
- Gomory's theorem (mathematical logic)
- Goodstein's theorem (mathematical logic)
- Gordon–Newell theorem (queueing theory)
- Gottesman–Knill theorem (quantum computation)
- Gradient theorem (vector calculus)
- Graph structure theorem (graph theory)
- Grauert–Riemenschneider vanishing theorem (algebraic geometry)
- Great orthogonality theorem (group theory)
- Green–Tao theorem (number theory)
- Green's theorem (vector calculus)
- Grinberg's theorem (graph theory)
- Gromov's compactness theorem (Riemannian geometry)
- Gromov's compactness theorem (Symplectic topology)
- Gromov's theorem on groups of polynomial growth (geometric group theory)
- Gromov–Ruh theorem (differential geometry)
- Gross–Zagier theorem (number theory)
- Grothendieck–Hirzebruch–Riemann–Roch theorem (algebraic geometry)
- Grothendieck's connectedness theorem (algebraic geometry)
- Grötzsch's theorem (graph theory)
- Grunwald–Wang theorem (algebraic number theory)
- Grushko theorem (group theory)
Read more about this topic: List Of Theorems