Évariste Galois


Évariste Galois’s most significant contribution to mathematics by far is his development of Galois theory. He realized that the algebraic solution to a polynomial equation is related to the structure of a group of permutations associated with the roots of the polynomial, the Galois group of the polynomial. He found that an equation could be solved in radicals if one can find a series of subgroups of its Galois group, each one normal in its successor with abelian quotient, or its Galois group is solvable. This proved to be a fertile approach, which later mathematicians adapted to many other fields of mathematics besides the theory of equations to which Galois originally applied it to.


Évariste Galois (25 October 1811 – 31 May 1832) was a French mathematician born in Bourg-la-Reine who possessed a remarkable genius for mathematics. Among his many contributions, Galois founded abstract algebra and group theory, which are fundamental to computer science, physics, coding theory and cryptography. Galois’ contributions are even more remarkable in light of the fact that many were captured as hastily scribbled notes on the eve of his untimely death in a duel.

Today, a “Galois connection” is a way of solving challenging mathematical problems by translating them into different mathematical domains, creating a new solution paradigm by making the original problem amenable to a number of mathematical techniques.

We adopted the name Galois because we approach challenging software problems through processes that are analogous to Galois connections. Our computer scientists employ processes that rework clients’ software problems to develop an array of possible solutions not traditionally available via other methods.