Bruno Buchberger

special activities


One of my main aims, when I founded RISC, was the creation of a stimulating environment for international PhD students. In the frame of the PhD curriculum on symbolic computation which I developed since 1974 and, in a more systematic form, since 1982, I personally advised the PhD students listed below. Many other PhD theses were advised by the faculty which I recruited and built up for carrying through the PhD curriculum at RISC. Six of my PhD students received the highest Austrian award for PhD students, the "Sub Auspiciis Praesidentis Rei Publicae" graduation, in which the Austrian state president is personally present (see the students marked by *). At an average, only one out of hundred PhD students in Austria reveives this award. Quite some of my former PhD students are now professors, associate and assistant professors at various universities and research institutions around the world.

My entry in the Mathematics Genealogy Project.

  • Ardeleanu, Eugen, Ph.D., Univ. of Linz (Austria), 1995, Invariant Theory of Finite Groups and Applications.

  • Craciun, Adrian, PhD., Univ. of Linz (Austria), 2007, Buchberger’s Lazy Thinking Method for Algorithm Synthesis: Case Study Groebner Bases Algorithm.

  • * Dreiseitl, Stefan, PhD., Univ. of Linz, 1997, Nonlinear System and Structure Identification by Neural Networks and Genetic Algorithms.

  • Dupré, Daniela, Ph.D., Univ. of Linz,  2000, Automated Theorem Proving by Integrating Proving, Solving and Computing.

  • * Falkinger, Josef, Ph.D., Univ. of Linz, 1978, Universalität und Reduzierbarkeit von partiell rekursiven Funktionen, Automaten und deren Numerierungen.

  • Fuchs, Günther, PhD., Univ. of Linz (Austria), 2006, Logic Foundation of Geometry and Didactics.

  • Funk, Gerhard, Ph.D., Univ. of Linz, 1989, A Verification System for Total Correctness of the Parallel L-Language.

  • Gehrke, Wolfgang, Ph.D., Univ. of Linz, 1995, Decidability Results for Categorical Notions Related to Monads by Rewriting Techniques.

  • Hintenaus, Peter Michael, Ph.D., Univ. of Linz , 1989, Decomposing and Parameterizing the Solution Set of an Algebraic System.

  • Jebelean, Tudor, Ph.D., Univ. of Linz (Austria), 1994, Systolic Multiprecision Arithmetics.

  • Jenewein, F., Ph.D., Univ. of Innsbruck, 1974, Eine Metasprache zur Definition von Programmiersprachen und ihre Implementierung.

  • Kalkbrener, Michael, Ph.D., Univ. of Linz, 1991, Three Contributions to Elimination Theory.

  • * Kusche, Klaus, Ph.D., Univ. of Linz, 1995, Castle - Design and Implementation of a Symbolic computation Language with Emphasis on Polymorphism and Efficiency.

  •  Kutsia, Temur, Ph.D., Univ. of Linz, 2002, Unification in Theories with Sequence Variables and Flexible Arity Function Symbols.

  • Kutzler, Bernhard, Ph.D., Univ. of Linz, 1988, Algebraic Approaches to Automated Geometry Theorem Proving.

  • Lichtenberger, Franz, Ph.D., Univ. of Linz, 1980, Pl/ADT: Ein System zur Verwendung algebraisch spezifizierter abstrakter Datentypen in PL/I.

  • Lisonek, Peter, Ph.D., Univ. of Linz, 1994, Computer-assisted Studies in Algebraic Combinatorics.

  • Mandache, Ana Maria, Ph.D., Univ. of Linz, 1995, Gröbner Bases Computation and Gaussian Elimination.

  • Marin, Mircea, Ph.D., Univ. of Linz, 2000, Functional Logic Programming with Distributed Constraint Solving.

  • Mayr, Herwig, Ph.D., Univ. of Linz, 1991, Real-Time Dynamic Collision Checking Integrated into Graphic Manufacturing Simulation.

  • Michelic-Birgmayer, Renate, Ph.D., Univ. of Linz, 1989, Algorithmic Problems in Primary Decomposition.

  • Nakagawa, Koji, Ph.D., Univ. of Linz, 2002, Supporting User-Friendliness in the Mathematical Software System Theroema.

  • Piroi, Florina, Phd., Univ. of Linz (Austria), 2004, Tools for Mathematical Knowledge Management.

  • Plasser, Kurt, Ph.D., Univ. of Linz, 1976, Über die Vernetzung berechenbarer Funktionen.

  • * Ploner, H., Ph.D., Univ. of Innsbruck, 1975, Ein Algol 60 Interpreter.

  • Robu, Judit, Ph.D., Univ. of Linz, 2002, Geometry Theorem Proving in the Frame of the Theorema Project.

  • * Rolletschek, Heinrich, Ph.D., Univ. of Linz, 1980, Contributions to the Systematics of Creativity Concepts.

  • Rudalics, Martin, Ph.D., Univ. of Linz, 1988, Multiprocessor List Memory Management.

  • Schindler, Klaus, Ph.D., Univ. of Innsbruck, 1974, Blum’sche Komplexitätsmaqsse in der verallgemeinerten Rekursionstheorie von Moschovakis.

  • Seeber, Gilg, Ph.D., Univ. of Linz, 1980, Kreativität und Universalität.

  • * Schreiner, Wolfgang, Univ. of Linz, 1994, Parallel Functional Programming for Computer Algebra.

  • Stifter, Sabine, Ph.D., Univ. of Linz, 1988, A Medley of Solutions to the Robot Collision Problem in two and three Dimensions.

  • Sutter, Peter, Ph.D., Univ. of Linz, 1976, Implementierung einer Metasprache zur Definition von auf symbolischen Daten operierenden Interpretern und ihr Einsatz in der Programmverifikation.

  • * Winkler, Franz, PhD., Univ. of Linz. The Church-Rosser Property in Computer Algebra and Special Theorem Proving.

  • Windsteiger, Wolfgang, PhD., Univ. of Linz, 2001, A Set Theory Prover in Theorema: Implementation and Practical Applications.

  • Zapletal, Alexander, PhD., Univ. of Linz (Austria), 2008, Compilation of Theorema Programs.