4 lives in this collection worked in class field theory, from 1875 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: algebraic number theory. All fields
Founder of modern Japanese mathematics who proved that the abelian extensions of a number field are exactly its class fields.
algebraic number theory, class field theory, analysis
Algebraist and number theorist who proved the general reciprocity law, introduced Artin L-functions and the braid group, and solved Hilbert's seventeenth problem.
algebraic number theory, class field theory, abstract algebra
Number theorist who introduced the local-global principle, shaped class field theory and proved the Riemann hypothesis for elliptic curves over finite fields, and who directed the Göttingen institute under National Socialism.
algebraic number theory, class field theory, arithmetic of quadratic forms
Founding member of Bourbaki who introduced ideles into class field theory and constructed the Chevalley groups, simple groups attached to Lie algebras over every field.
class field theory, lie groups, algebraic groups