Galois theory Algebraic fields 3 Algebraic number theory 3 Field extensions (Mathematics) 2 Polynomials 2 Ring extensions (Algebra) 2 Algebra 1 Algebra, Homological 1 Algebraic varieties 1 Automorphic forms 1 Commutative algebra 1 Commutative rings 1 Difference equations 1 Differential algebra 1 Differential equations, Linear 1 Fundamental groups (Mathematics) 1 Group theory 1 Homology theory 1 Homotopy theory 1 Hopf algebras 1 Integral representations 1 K-theory 1 Moduli theory 1 Numbers, Rational 1 Probabilistic number theory 1 Rings (Algebra) 1