Bruno Buchberger

7.8k total citations · 1 hit paper
65 papers, 2.4k citations indexed

About

Bruno Buchberger is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Computational Mechanics. According to data from OpenAlex, Bruno Buchberger has authored 65 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Computational Theory and Mathematics, 16 papers in Artificial Intelligence and 11 papers in Computational Mechanics. Recurrent topics in Bruno Buchberger's work include Polynomial and algebraic computation (26 papers), Logic, programming, and type systems (13 papers) and Advanced Numerical Analysis Techniques (11 papers). Bruno Buchberger is often cited by papers focused on Polynomial and algebraic computation (26 papers), Logic, programming, and type systems (13 papers) and Advanced Numerical Analysis Techniques (11 papers). Bruno Buchberger collaborates with scholars based in Austria, Germany and United States. Bruno Buchberger's co-authors include George E. Collins, Rüdiger Loos, R. Albrecht, Tudor Jebelean, Franz Winkler, Manuel Kauers, Temur Kutsia, Markus Rosenkranz, Leo Bachmair and R. Albrecht and has published in prestigious journals such as SHILAP Revista de lepidopterología, European Journal of Biochemistry and Future Generation Computer Systems.

In The Last Decade

Bruno Buchberger

60 papers receiving 2.1k citations

Hit Papers

Greobner Bases : an algorithmic method in polynomial idea... 1985 2026 1998 2012 1985 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Greobner Bases : an algorithmic method in polynomial ideal theory
    1985 661 citations Bruno Buchberger profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Bruno Buchberger Austria 19 1.5k 674 609 598 416 65 2.4k
David A. Cox United States 15 1.0k 0.7× 1.0k 1.5× 599 1.0× 272 0.5× 423 1.0× 48 2.3k
Volker Weispfenning Germany 20 1.0k 0.7× 340 0.5× 355 0.6× 417 0.7× 219 0.5× 52 1.4k
Marie-Françoise Roy France 17 1.5k 1.0× 481 0.7× 372 0.6× 388 0.6× 493 1.2× 57 2.1k
Daniel Lazard France 19 942 0.6× 485 0.7× 550 0.9× 209 0.3× 388 0.9× 45 1.5k
George E. Collins United States 23 1.5k 1.0× 307 0.5× 164 0.3× 682 1.1× 460 1.1× 65 2.4k
Peter Borwein Canada 28 810 0.5× 882 1.3× 1.1k 1.7× 326 0.5× 145 0.3× 179 3.7k
Richard Pollack United States 25 1.5k 1.0× 537 0.8× 256 0.4× 346 0.6× 539 1.3× 76 3.0k
Saugata Basu United States 15 1.3k 0.9× 434 0.6× 313 0.5× 352 0.6× 387 0.9× 76 1.9k
Gerhard Pfister Germany 16 946 0.6× 1.1k 1.6× 797 1.3× 184 0.3× 191 0.5× 77 1.9k
Dario A. Bini Italy 33 2.5k 1.7× 215 0.3× 272 0.4× 367 0.6× 420 1.0× 158 3.6k

Countries citing papers authored by Bruno Buchberger

Since Specialization
Citations

This map shows the geographic impact of Bruno Buchberger's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Bruno Buchberger with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bruno Buchberger more than expected).

Fields of papers citing papers by Bruno Buchberger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bruno Buchberger. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Bruno Buchberger. The network helps show where Bruno Buchberger may publish in the future.

Co-authorship network of co-authors of Bruno Buchberger

This figure shows the co-authorship network connecting the top 25 collaborators of Bruno Buchberger. A scholar is included among the top collaborators of Bruno Buchberger based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Bruno Buchberger. Bruno Buchberger is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Buchberger, Bruno. (2023). Automated programming, symbolic computation, machine learning: my personal view. Annals of Mathematics and Artificial Intelligence. 91(5). 569–589. 3 indexed citations
2.
Buchberger, Bruno, et al.. (2014). Theorema 2.0: Computer-Assisted Natural-Style Mathematics. SHILAP Revista de lepidopterología. 15 indexed citations
3.
Buchberger, Bruno, et al.. (2009). General polynomial reduction with TH 9 OREM 8 functors. ACM communications in computer algebra. 42(3). 135–137. 1 indexed citations
4.
Jebelean, Tudor, et al.. (2008). Combining logical and algebraic techniques for natural style proving in elementary analysis. Mathematics and Computers in Simulation. 79(8). 2310–2316. 4 indexed citations
5.
Buchberger, Bruno, Tudor Jebelean, Laura Kovács, et al.. (2005). Theorema: Towards computer-aided mathematical theory exploration. Journal of Applied Logic. 4(4). 470–504. 51 indexed citations
6.
Buchberger, Bruno. (2005). Bruno Buchberger’s PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Journal of Symbolic Computation. 41(3-4). 475–511. 266 indexed citations
7.
Buchberger, Bruno. (2005). Comments on the translation of my PhD thesis. Journal of Symbolic Computation. 41(3-4). 471–474. 6 indexed citations
8.
Buchberger, Bruno. (2004). Towards the Automated Synthesis of a Grobner Bases Algorithm.. Hispana. 98(1). 65. 8 indexed citations
9.
Buchberger, Bruno, et al.. (2004). Algorithm Synthesis by Lazy Thinking: Using Problem Schemes. European Journal of Biochemistry. 67(1). 137–44. 7 indexed citations
10.
Buchberger, Bruno, Gastón H. Gonnet, & Michiel Hazewinkel. (2003). Preface : Annals of mathematics and artificial intelligence 2003. Annals of Mathematics and Artificial Intelligence. 38. 1–2. 2 indexed citations
11.
Asperti, Andrea, et al.. (2003). Mathematical knowledge management : Second International Conference, MKM 2003, Bertinoro, Italy, February 16-18, 2003 : proceedings. Springer eBooks. 2 indexed citations
12.
Buchberger, Bruno, et al.. (2001). The TH ∃ OREM ∀ project: a progress report. 98–113. 2 indexed citations
13.
Buchberger, Bruno, et al.. (1998). Gröbner Bases and Applications. Cambridge University Press eBooks. 120 indexed citations
14.
Buchberger, Bruno. (1993). Mathematica: A System for Doing Mathematics by Computer? (Abstract). 40(41). 1–suppl 4 p.. 2 indexed citations
15.
Buchberger, Bruno & Juan Elías. (1992). Using Gröbner bases for detecting polynomial identities: A case study on Fermat's ideal. Journal of Number Theory. 41(3). 272–279.
16.
Buchberger, Bruno, et al.. (1988). Algebraic Methods for Geometric Reasoning. 3(1). 85–119. 46 indexed citations
17.
Buchberger, Bruno. (1987). History and basic features of the critical-pair/completion procedure. Journal of Symbolic Computation. 3(1-2). 3–38. 32 indexed citations
18.
Buchberger, Bruno, George E. Collins, Rüdiger Loos, & R. Albrecht. (1983). Computer algebra: symbolic and algebraic computation (2nd ed.). Springer eBooks. 10 indexed citations
19.
Buchberger, Bruno, et al.. (1981). Mathematik für Informatiker I. 2 indexed citations
20.
Buchberger, Bruno. (1970). Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems. Aequationes Mathematicae. 4(1-2). 271–272. 138 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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