Wolfram Decker

660 total citations
21 papers, 170 citations indexed

About

Wolfram Decker is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, Wolfram Decker has authored 21 papers receiving a total of 170 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 13 papers in Computational Theory and Mathematics and 9 papers in Algebra and Number Theory. Recurrent topics in Wolfram Decker's work include Polynomial and algebraic computation (13 papers), Algebraic Geometry and Number Theory (13 papers) and Commutative Algebra and Its Applications (7 papers). Wolfram Decker is often cited by papers focused on Polynomial and algebraic computation (13 papers), Algebraic Geometry and Number Theory (13 papers) and Commutative Algebra and Its Applications (7 papers). Wolfram Decker collaborates with scholars based in Germany, Norway and Argentina. Wolfram Decker's co-authors include Christoph Lossen, Frank–Olaf Schreyer, Gerhard Pfister, Janko Böhm, Hirotachi Abo, Franz‐Josef Pfreundt, Alessandro Georgoudis, P. Wasser, Yang Zhang and Kristian Ranestad and has published in prestigious journals such as Mathematics of Computation, Journal of High Energy Physics and Applied Mathematics and Computation.

In The Last Decade

Wolfram Decker

21 papers receiving 158 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Wolfram Decker Germany 9 96 81 53 38 26 21 170
Christoph Lossen Germany 8 105 1.1× 73 0.9× 34 0.6× 22 0.6× 8 0.3× 16 171
Viktor Levandovskyy Germany 9 143 1.5× 158 2.0× 145 2.7× 26 0.7× 4 0.2× 36 243
Jarosław Buczyński Poland 7 52 0.5× 48 0.6× 23 0.4× 19 0.5× 5 0.2× 15 152
Hirotachi Abo United States 7 49 0.5× 66 0.8× 23 0.4× 15 0.4× 4 0.2× 15 173
Mike Stillman United States 9 149 1.6× 136 1.7× 165 3.1× 33 0.9× 8 0.3× 19 243
Ludger Kaup Germany 7 171 1.8× 34 0.4× 69 1.3× 103 2.7× 4 0.2× 26 256
Niels Schwartz Germany 11 184 1.9× 136 1.7× 239 4.5× 82 2.2× 4 0.2× 35 342
Kristian Ranestad Norway 9 145 1.5× 109 1.3× 57 1.1× 73 1.9× 33 259
Juan Carlos Peral Spain 8 59 0.6× 38 0.5× 53 1.0× 142 3.7× 4 0.2× 26 253
Alexander Levin United States 6 99 1.0× 124 1.5× 69 1.3× 19 0.5× 20 165

Countries citing papers authored by Wolfram Decker

Since Specialization
Citations

This map shows the geographic impact of Wolfram Decker'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 Wolfram Decker with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Wolfram Decker more than expected).

Fields of papers citing papers by Wolfram Decker

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Wolfram Decker. 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 Wolfram Decker. The network helps show where Wolfram Decker may publish in the future.

Co-authorship network of co-authors of Wolfram Decker

This figure shows the co-authorship network connecting the top 25 collaborators of Wolfram Decker. A scholar is included among the top collaborators of Wolfram Decker 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 Wolfram Decker. Wolfram Decker 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.
Böhm, Janko, Wolfram Decker, Alessandro Georgoudis, et al.. (2020). Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space. Journal of High Energy Physics. 2020(2). 30 indexed citations
2.
Böhm, Janko, et al.. (2020). Towards Massively Parallel Computations in Algebraic Geometry. Foundations of Computational Mathematics. 21(3). 767–806. 8 indexed citations
3.
Böhm, Janko, et al.. (2020). Computing integral bases via localization and Hensel lifting. Journal of Symbolic Computation. 109. 283–324. 1 indexed citations
4.
Decker, Wolfram, et al.. (2017). Singularities and Computer Algebra. CERN Document Server (European Organization for Nuclear Research). 4 indexed citations
5.
Böhm, Janko, Wolfram Decker, Claus Fieker, & Gerhard Pfister. (2015). The use of bad primes in rational reconstruction. Mathematics of Computation. 84(296). 3013–3027. 9 indexed citations
6.
Decker, Wolfram. (2014). Review of "Numerically Solving Polynomial Systems with Bertini" by Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler. ACM communications in computer algebra. 48(1/2). 57–58. 9 indexed citations
7.
Bates, Daniel J., Wolfram Decker, Jonathan D. Hauenstein, et al.. (2014). Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Applied Mathematics and Computation. 231. 619–633. 4 indexed citations
8.
Böhm, Janko, et al.. (2012). Parallel algorithms for normalization. Journal of Symbolic Computation. 51. 99–114. 5 indexed citations
9.
Decker, Wolfram & Christoph Lossen. (2006). Computing in Algebraic Geometry: A Quick Start using SINGULAR (Algorithms and Computation in Mathematics). Springer eBooks. 13 indexed citations
10.
Decker, Wolfram & Christoph Lossen. (2006). Computing in Algebraic Geometry: A Quick Start using SINGULAR. CERN Document Server (European Organization for Nuclear Research). 13 indexed citations
11.
Decker, Wolfram & Frank–Olaf Schreyer. (2000). Non-general Type Surfaces in P4: Some Remarks on Bounds and Constructions. Journal of Symbolic Computation. 29(4-5). 545–582. 11 indexed citations
12.
Decker, Wolfram, et al.. (1998). Generating a Noetherian Normalization of the Invariant Ring of a Finite Group. Journal of Symbolic Computation. 25(6). 727–731. 4 indexed citations
13.
Abo, Hirotachi, et al.. (1998). An elliptic conic bundle in $\mathbb{P}^4$ arising from a stable rank-3 vector bundle. Mathematische Zeitschrift. 229(4). 725–741. 17 indexed citations
14.
Decker, Wolfram, et al.. (1997). Syzygies of Abelian and Bielliptic Surfaces in ℙ4. International Journal of Mathematics. 8(7). 849–919. 9 indexed citations
15.
Decker, Wolfram, et al.. (1993). THE GEOMETRY OF BIELLIPTIC SURFACES IN ℙ4. International Journal of Mathematics. 4(6). 873–902. 8 indexed citations
16.
Decker, Wolfram & Frank–Olaf Schreyer. (1987). Pullbacks of the Horrocks-Mumford bundle.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1987(382). 215–220. 1 indexed citations
17.
Decker, Wolfram & Frank–Olaf Schreyer. (1986). On the uniqueness of the Horrocks-Mumford-bundle. Mathematische Annalen. 273(3). 415–443. 6 indexed citations
18.
Decker, Wolfram. (1986). Stable rank 2 vector bundles with Chern-classesc 1=?1,c 2=4. Mathematische Annalen. 275(3). 481–500. 4 indexed citations
19.
Decker, Wolfram. (1984). Das Horrocks-Mumford-B�ndel und das Modul-Schema f�r stabile 2-Vektorb�ndel �ber ?4 mitc 1=?1,c 2=4. Mathematische Zeitschrift. 188(1). 101–110. 3 indexed citations
20.
Decker, Wolfram. (1983). �ber den Modul-Raum f�r stabile 2-Vektor-B�ndel �ber ?3 mit c1=?1, c2=2. manuscripta mathematica. 42(2-3). 211–219. 2 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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