Combinatorics

9 lives in this collection worked in combinatorics, from 190 BC to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: number theory, algebraic geometry, group theory, probability theory, projective geometry. All fields

  • Hipparchus190 BC–120 BC

    Greek astronomer of the second century BC who built the first known chord table, fitted geometric models of the Sun and Moon to observations, bounded the Moon's distance, compiled a star catalogue and discovered the precession of the equinoxes.

    astronomy, trigonometry, geography

  • Blaise Pascal1623–1662

    Mathematician, physicist and writer who proved the hexagram theorem, built the Pascaline, established atmospheric pressure, co-founded probability theory with Fermat, and wrote the Provincial Letters and Pensées.

    projective geometry, probability theory, combinatorics

  • Gottfried Wilhelm Leibniz1646–1716

    Co-inventor of the calculus and author of its notation, discoverer of vis viva, advocate of binary arithmetic and of a relational theory of space and time.

    calculus, combinatorics, logic

  • Jakob Steiner1796–1863

    Self-taught Swiss geometer who became the leading synthetic geometer of the nineteenth century, known for the projective generation of conics, symmetrization, Steiner chains and Steiner systems.

    synthetic geometry, projective geometry, geometric extremal problems

  • 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

  • Issai Schur1875–1941

    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

  • Bartel van der Waerden1903–1996

    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

  • Paul Erdős1913–1996

    Itinerant Hungarian mathematician, author of some 1,500 papers with over 500 co-authors, who founded the probabilistic method and the theory of random graphs.

    number theory, combinatorics, graph theory

  • Grigory Margulis1946–

    Proved superrigidity and arithmeticity of higher-rank lattices, built the first explicit expanders, and solved the Oppenheim conjecture by founding homogeneous dynamics.

    lie groups, ergodic theory, homogeneous dynamics