Mathematician:Bruno Buchberger

Mathematician

Austrian professor of Computer Mathematics who created the theory of Gröbner bases.

Nationality

Austrian

History

• Born: 22 October 1942 in Innsbruck

Theorems and Definitions

• Buchberger's Algorithm
• Gröbner Basis

Results named for Bruno Buchberger can be found here.

Definitions of concepts named for Bruno Buchberger can be found here.

Publications

• 1965: Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal () (PhD thesis)

• 1970: An Algorithmic Criterion for the Solvability of a System of Algebraic Equations (Aequationes Mathematicae Vol. 4: pp. 374 – 383)

• 1998: Gröbner Bases and Applications (with Franz Winkler)

• 2006: An Algorithm for Finding the Basis Elements of the Residue Class Ring of a Zero Dimensional Polynomial Ideal (J. Symb. Comput. Vol. 41: pp. 471 – 511)

(translated by Michael P. Abramson from "Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal")