Jean-Pierre Serre

Jean-Pierre Serre (born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.

Quotes

  • It strikes me that mathematical writing is similar to using a language. To be understood you have to follow some grammatical rules. However, in our case, nobody has taken the trouble of writing down the grammar; we get it as a baby does from parents, by imitation of others. Some mathematicians have a good ear; some not (and some prefer the slangy expressions such as 'iff'). That's life.
  • You see, some mathematicians have clear and far-ranging. "programs". For instance, Grothendieck had such a program for algebraic geometry; now Langlands has one for representation theory, in relation to modular forms and arithmetic. I never had such a program, not even a small size one.

Quotes about Jean-Pierre Serre

  • Je pourrais dire, en exagérant à peine, qu’entre le début des années cinquante jusque vers l’année 1966, donc pendant une quinzaine d’année, tout ce que j’ai appris en "géométrie" (dans un sens très large, englobant la géométrie algébrique ou analytique, la topologie et l’arithmétique), je l’ai appris par Serre, quand je ne l’ai pas appris par moi-même dans mon travail mathématique. C’est en 1952 je crois, quand Serre est venu à Nancy (où je suis resté jusqu’en 1953), qu’il a commencé à devenir pour moi un interlocuteur privilégié - et pendant des années, il a été même mon seul interlocuteur pour les thèmes se plaçant en dehors de l’analyse fonctionnelle. - Grothendieck, Récoltes et Semailles.

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Mathematics
Mathematicians
(by country)

Abel Anaxagoras Archimedes Aristarchus of Samos Averroes Arnold Banach Cantor Cartan Cohen Descartes Diophantus Erdős Euclid Euler Fourier Gauss Gödel Grassmann Grothendieck Hamilton Hilbert Hypatia Lagrange Laplace Leibniz Milnor Newton von Neumann Noether Penrose Perelman Poincaré Pólya Pythagoras Riemann Russell Schwartz Serre Tao Tarski Thales Turing Wiles Witten

Numbers

1 23 360 e π Fibonacci numbers Irrational number Negative number Number Prime number Quaternion

Concepts

Abstraction Algorithms Axiomatic system Completeness Deductive reasoning Differential equation Dimension Ellipse Elliptic curve Exponential growth Infinity Integration Geodesic Induction Proof Partial differential equation Principle of least action Prisoner's dilemma Probability Randomness Theorem Topological space Wave equation

Results

Euler's identity Fermat's Last Theorem

Pure math

Abstract algebra Algebra Analysis Algebraic geometry (Sheaf theory) Algebraic topology Arithmetic Calculus Category theory Combinatorics Commutative algebra Complex analysis Differential calculus Differential geometry Differential topology Ergodic theory Foundations of mathematics Functional analysis Game theory Geometry Global analysis Graph theory Group theory Harmonic analysis Homological algebra Invariant theory Logic Non-Euclidean geometry Nonstandard analysis Number theory Numerical analysis Operations research Representation theory Ring theory Set theory Sheaf theory Statistics Symplectic geometry Topology

Applied math

Computational fluid dynamics Econometrics Fluid mechanics Mathematical physics Science

History of math

Ancient Greek mathematics Euclid's Elements History of algebra History of calculus History of logarithms Indian mathematics Principia Mathematica

Other

Mathematics and mysticism Mathematics education Mathematics, from the points of view of the Mathematician and of the Physicist Philosophy of mathematics Unification in science and mathematics


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