4 lives in this collection worked in abstract algebra, from 1831 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: algebraic number theory, mathematical physics. All fields
Creator of ideal theory, Dedekind cuts and the set-theoretic foundations of the natural numbers.
algebraic number theory, foundations of mathematics, abstract algebra
Founder of modern abstract algebra and author of the theorems linking symmetries to conservation laws.
abstract algebra, invariant theory, mathematical physics
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
Author of Moderne Algebra, which gave abstract algebra its modern form, and of foundational work in algebraic geometry, Ramsey theory and the history of ancient science.
abstract algebra, algebraic geometry, combinatorics