Bruno Buchberger

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Bruno Buchberger 2005

Bruno Buchberger (born October 22, 1942 in Innsbruck ) is an Austrian mathematician .


He attended the Akademisches Gymnasium Innsbruck and received his doctorate in 1966 with Wolfgang Gröbner at the University of Innsbruck on the subject of "An algorithm for finding the basic elements of the residual class ring according to a zero-dimensional polynomial ideal". With the dissertation he founded the theory of the Gröbner bases and the Buchberger algorithm , which play an important role in computer algebra . Since 1974 he has been a full professor for computer mathematics at the Johannes Kepler University in Linz , where he founded the Research Institute for Symbolic Computing ( RISC-Linz ) in 1987 .


At the age of 23, Buchberger invented the theory of “ Gröbner bases ”, a fundamental method of computer mathematics that is now used in millions of installations in all modern mathematical software systems around the world and on which numerous international research groups continue to work. A total of 10 textbooks and around 1000 scientific publications on Buchberger's theory have been published so far. The theory of the Gröbner bases is likely to be the most cited Austrian research result in the field of computer mathematics (over 3000 citations in the Research Index). Every year new applications of Buchberger's theory are found in very different technological areas, e.g. B. for breaking a previously considered unbreakable cryptographic code with Buchberger's method ( Univ. Paris VI ), for new control for the Shell oil production platforms with greater and longer yield, and for the identification of common ancestors in the genetic evolutionary chains of species .

Buchberger's current main research area is the development of the mathematical software system “Theorema”, with which the mathematical thought process itself can be supported by mathematical algorithms (“the computer”). This leads to an increase in efficiency, precision, verifiability, modularization and reorganization of the entire scientific process in mathematical research.

Since 2014 he has been a member of the Global Digital Mathematical Library Working Group at IMU .

Technology management for Austria

In 1985 Buchberger founded the international scientific journal of symbolic computation , the first journal in the field of symbolic computation, and was its editor until 1995.

In 1987 he founded the Research Institute for Symbolic Computation (RISC) at the Johannes Kepler University Linz and headed it until 2000.

In 1989 Buchberger founded the Hagenberg software park in Hagenberg im Mühlkreis , in which more than 1,000 jobs have been created under his leadership. Three years later he founded the University of Applied Sciences in Hagenberg . In 2007 he set up the first Master's Program in Informatics in Austria in the Hagenberg software park.

Other services

As IT officer at the University of Innsbruck, Buchberger created the concept for the computer science course that started there in 2001.


Bruno Buchberger holds honorary doctorates from the Universities of Nijmegen (Netherlands, 1995), Timisoara (Romania, 2000), Bath (UK, 2005), Waterloo (Canada, 2011) and Innsbruck (Austria, 2012). As one of only 23 Austrians (including only 2 mathematicians) he was admitted to the Academia Europaea (European Academy of Sciences) in London in 1992. In 2011 he was accepted as a corresponding member of the Bavarian Academy of Sciences and was awarded honorary membership of the Austrian Computer Society (OCG).

In 2010, Bruno Buchberger was voted Austrian of the Year by the press in the Research section for his achievements in founding the Research Institute for Symbolic Computation . In 2007 he received the Paris Kanellakis Prize and in 2006 the Julius Raab Medal . In 2014 he received the Austrian Decoration of Honor for Science and Art .

In 2015 Buchberger was awarded the Great Culture Prize of the State of Upper Austria . For 2018 he was awarded the Herbrand Award .

Web links

Individual evidence

  1. The Global Digital Mathematical Library Working Group Archived copy ( memento of the original from September 21, 2017 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot /
  2. Computer science - it starts in autumn! For the opening of the computer science course at the University of Innsbruck,, May 17, 2001, accessed February 5, 2017.
  3. Professor Bruno Buchberger received the Julius Raab Medal , ( Memento from December 11, 2007 in the Internet Archive )
  4. State Awards for Artists and Scientists, August 12, 2015, accessed August 13, 2015.