5 lives in this collection worked in linear algebra, from 1809 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: group theory, mathematical physics, number theory, representation theory. All fields
Stettin schoolteacher whose Ausdehnungslehre founded linear algebra and the exterior product, and whose work on Sanskrit gave linguistics Grassmann's law.
linear algebra, exterior algebra, geometry
Italian geometer who gave the first models of Lobachevsky's hyperbolic geometry, proving it as consistent as Euclid's, and whose name survives on the Laplace–Beltrami operator.
differential geometry, non-euclidean geometry, mathematical physics
French mathematician whose Traité des substitutions (1870) founded group theory as a discipline, and who introduced the Jordan normal form, composition series, functions of bounded variation, Jordan content and the Jordan curve theorem.
group theory, linear algebra, analysis
Berlin algebraist who created the character theory of finite groups and left his name on results across linear algebra, differential equations and number theory.
group theory, representation theory, linear algebra
Berlin algebraist who founded much of the representation theory of finite groups and of GL(n), and whose name is attached to results across algebra, combinatorics and analysis.
representation theory, group theory, linear algebra