Invariant theory

7 lives in this collection worked in invariant theory, from 1815 to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: algebra, algebraic geometry, mathematical logic, mathematical physics. All fields

  • George Boole1815–1864

    Self-taught English mathematician who created the algebra of logic now called Boolean algebra and pioneered operator methods in analysis.

    mathematical logic, algebra of logic, probability theory

  • Arthur Cayley1821–1895

    Prolific Victorian algebraist who founded matrix algebra, gave the first abstract definition of a group, and built classical invariant theory.

    algebra, invariant theory, group theory

  • Charles Hermite1822–1901

    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

  • Paul Gordan1837–1912

    The king of invariant theory, who proved constructively that the covariants of binary forms are finitely generated.

    invariant theory, algebra, algebraic geometry

  • Max Noether1844–1921

    Founder of the algebraic and birational theory of curves and surfaces, known for the AF+BG theorem, Brill–Noether theory and Noether's formula.

    algebraic geometry, algebraic functions, birational geometry

  • David Hilbert1862–1943

    Leader of Göttingen mathematics whose basis theorem, Zahlbericht, axioms of geometry, Hilbert space, Paris problems and proof theory shaped twentieth-century mathematics.

    invariant theory, algebraic number theory, foundations of geometry

  • Emmy Noether1882–1935

    Founder of modern abstract algebra and author of the theorems linking symmetries to conservation laws.

    abstract algebra, invariant theory, mathematical physics