Eugène Ehrhart (29 April 1906 – 17 January 2000) was a French mathematician who in the 1960s introduced
Ehrhart polynomial
In mathematics, an integral polytope has an associated Ehrhart polynomial that encodes the relationship between the volume of a polytope and the number of integer points the polytope contains. The theory of Ehrhart polynomials can be seen as a hi ...
s, which count the lattice points in a
polytope
In elementary geometry, a polytope is a geometric object with flat sides ('' faces''). Polytopes are the generalization of three-dimensional polyhedra to any number of dimensions. Polytopes may exist in any general number of dimensions as an ...
with integral vertices, their
reciprocity property, and their generalization to rational polytopes. Ehrhart received his high school diploma at the age of 22. He was a mathematics teacher in several high schools, and did mathematics research on his own time. He started publishing in mathematics in his 40s, and finished his PhD thesis at the age of 60.
Selected publications
*Ehrhart, Eugène (1967), "Démonstration de la loi de réciprocité du polyèdre rationnel", ''Comptes Rendus de l'Academie des Sciences de Paris, Sér. A-B'' 265, A91–A94.
*Ehrhart, E. (1974), ''Polynômes arithmétiques et méthode des polyèdres en combinatoire'', Institut de Recherche Mathématique Avancée, Strasbourg, 1974. Updated in: Ehrhart, E. (1977), ''Polynômes arithmétiques et méthode des polyèdres en combinatoire'', International Series of Numerical Mathematics, Vol. 35. Birkhäuser Verlag, Basel-Stuttgart, 1977.
*.
References
A Tribute to Eugène Ehrhart Philippe Clauss, University of Strasbourg.
External links
Mathematicians who were late learners?-list – MathOverflow
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1906 births
2000 deaths
20th-century French mathematicians
University of Strasbourg alumni