Homology theory Geometry, Algebraic 10 Categories (Mathematics) 6 Homotopy theory 6 Group theory 5 K-theory 5 Rings (Algebra) 4 Sheaf theory 4 Algebraic topology 3 Loop spaces 3 Abelian varieties 2 Algebraic fields 2 Algebraic spaces 2 Associative rings 2 Characteristic classes 2 Commutative rings 2 Differential forms 2 Differential topology 2 Group schemes (Mathematics) 2 Lie algebras 2 Modules (Algebra) 2 Algebraic varieties 1 Arithmetic groups 1 Asymptotic theory 1 Class field theory 1 Classifying spaces 1 Cohomology operations 1 Commutative algebra 1 Curves, Elliptic 1 Differential algebra 1