4 lives in this collection worked in elliptic functions, from 1802 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: algebra, number theory, analysis. All fields
Proved the general quintic unsolvable by radicals, founded the theory of elliptic and abelian functions, and gave his name to commutative groups.
algebra, analysis, elliptic functions
Prussian mathematician who founded the theory of elliptic and theta functions with Abel, created Hamilton–Jacobi mechanics, and introduced the Jacobian, the Jacobi identity and the Jacobi symbol.
elliptic functions, analytical mechanics, number theory
French analyst and number theorist who proved the transcendence of e, solved the quintic with modular functions, and introduced Hermitian forms.
number theory, elliptic functions, invariant theory
Berlin number theorist who stated the Kronecker–Weber theorem, dreamed of class field theory through complex multiplication, and argued that all mathematics should be built from the integers.
number theory, algebra, elliptic functions