15 lives in this collection worked in differential geometry, from 1713 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: mathematical physics, number theory, differential equations, analysis, analytic number theory, celestial mechanics, complex analysis, geodesy, partial differential equations, real analysis. All fields
Leading French Newtonian who derived the figure of the Earth from hydrostatics, resolved the motion of the lunar apogee and predicted the 1759 return of Halley's comet.
geodesy, celestial mechanics, differential geometry
Creator of descriptive geometry and founder of the differential geometry of surfaces, who posed the optimal transport problem and helped found the École Polytechnique.
descriptive geometry, differential geometry, partial differential equations
Self-taught French mathematician who proved the main nineteenth-century result on Fermat's Last Theorem before Kummer and won the Paris Academy prize for a theory of vibrating elastic plates.
number theory, elasticity, differential geometry
Founder of modern number theory and the intrinsic geometry of surfaces, and author of least squares, the normal law and Gauss's law.
number theory, algebra, differential geometry
French analyst who founded the Journal de Mathématiques Pures et Appliquées, published Galois's work, constructed the first transcendental numbers and gave his name to theorems on eigenvalue problems, phase-space volume, elementary integrals and conformal maps.
analysis, differential equations, mathematical physics
Founder of Riemann surfaces and Riemannian geometry, and author of the 1859 paper linking the primes to the zeros of the zeta function.
complex analysis, differential geometry, analytic number theory
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 geometer whose work on surfaces, orthogonal systems, integration and Pfaffian forms shaped classical differential geometry, and who led the Paris Faculty of Science and the Academy of Sciences.
differential geometry, real analysis, differential equations
Italian mathematician who created the absolute differential calculus (tensor calculus), introduced covariant differentiation and the Ricci tensor, and with Levi-Civita wrote the 1900 memoir that became the mathematical language of general relativity.
differential geometry, tensor calculus, mathematical physics
French analyst who proved the prime number theorem, created the theory of entire functions of finite order, and introduced well-posed problems, Hadamard matrices and the study of chaotic geodesic flows.
complex analysis, analytic number theory, differential geometry
Completed the classification of simple Lie algebras, discovered spinors, and created exterior differential forms, moving frames, connections with torsion and symmetric spaces.
lie groups and lie algebras, differential geometry, exterior differential systems
Italian mathematician who co-founded tensor calculus with Ricci-Curbastro, introduced parallel transport in Riemannian geometry, regularized binary collisions in the three-body problem, and was dismissed under the 1938 racial laws.
differential geometry, tensor calculus, rational mechanics
Universal mathematician who founded gauge theory and the representation theory of compact Lie groups, and proved the Weyl law and the equidistribution theorem.
analysis, lie groups and representation theory, differential geometry
Topologist who discovered the Hopf fibration and Hopf invariant, proved the Poincaré–Hopf and Hopf degree theorems, and founded the theory of Hopf algebras and group homology.
algebraic topology, differential geometry, homological algebra
Founder of Bourbaki who proved the Riemann hypothesis for curves over finite fields and formulated the Weil conjectures.
number theory, algebraic geometry, arithmetic geometry