Martin Kreuzer

1.9k total citations
54 papers, 775 citations indexed

About

Martin Kreuzer is a scholar working on Algebra and Number Theory, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Martin Kreuzer has authored 54 papers receiving a total of 775 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Algebra and Number Theory, 28 papers in Computational Theory and Mathematics and 18 papers in Geometry and Topology. Recurrent topics in Martin Kreuzer's work include Commutative Algebra and Its Applications (24 papers), Polynomial and algebraic computation (23 papers) and Algebraic Geometry and Number Theory (13 papers). Martin Kreuzer is often cited by papers focused on Commutative Algebra and Its Applications (24 papers), Polynomial and algebraic computation (23 papers) and Algebraic Geometry and Number Theory (13 papers). Martin Kreuzer collaborates with scholars based in Germany, Italy and Vietnam. Martin Kreuzer's co-authors include Lorenzo Robbiano, Anthony V. Geramita, John Abbott, Anna Maria Bigatti, Philipp Jovanovic, Sebastian Pokutta, Chris Peterson, Juan Migliore, Uwe Nagel and Ilia Polian and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Transactions of the American Mathematical Society.

In The Last Decade

Martin Kreuzer

41 papers receiving 699 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Martin Kreuzer Germany	13	480	376	291	151	132	54	775
С. А. Абрамов Russia	19	767 1.6×	226 0.6×	252 0.9×	198 1.3×	154 1.2×	107	1.0k
Barry Trager United States	12	629 1.3×	191 0.5×	263 0.9×	244 1.6×	121 0.9×	33	887
Teo Mora Italy	16	959 2.0×	543 1.4×	429 1.5×	244 1.6×	271 2.1×	53	1.2k
Lorenzo Robbiano Italy	15	814 1.7×	646 1.7×	520 1.8×	140 0.9×	193 1.5×	55	1.1k
Joos Heintz Argentina	20	1.0k 2.2×	442 1.2×	328 1.1×	277 1.8×	332 2.5×	46	1.2k
Manuel Bronstein France	16	503 1.0×	130 0.3×	208 0.7×	145 1.0×	97 0.7×	42	724
Philippe Loustaunau United States	8	267 0.6×	235 0.6×	228 0.8×	101 0.7×	58 0.4×	20	562
Fabrice Rouillier France	13	552 1.1×	132 0.4×	164 0.6×	65 0.4×	305 2.3×	40	785
Giorgio Ottaviani Italy	20	380 0.8×	189 0.5×	505 1.7×	105 0.7×	129 1.0×	65	1.1k
Ivo G. Rosenberg Canada	13	491 1.0×	139 0.4×	107 0.4×	170 1.1×	68 0.5×	115	758

Countries citing papers authored by Martin Kreuzer

Since Specialization

Citations

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

Fields of papers citing papers by Martin Kreuzer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Martin Kreuzer

This figure shows the co-authorship network connecting the top 25 collaborators of Martin Kreuzer. A scholar is included among the top collaborators of Martin Kreuzer 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 Martin Kreuzer. Martin Kreuzer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Kreuzer, Martin, et al.. (2024). SAT Solving Using XOR-OR-AND Normal Forms. Mathematics in Computer Science. 18(4).

Kreuzer, Martin & Florian Walsh. (2024). Efficient Algorithms for Finite $\mathbb{Z}$-Algebras. Volume 15, Issue 2.

Kreuzer, Martin, et al.. (2024). Re-embeddings of affine algebras via Gröbner fans of linear ideals. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 65(4). 827–851. 1 indexed citations

Kreuzer, Martin, et al.. (2020). A fault attack on the Niederreiter cryptosystem using binary irreducible Goppa codes. SHILAP Revista de lepidopterología. Volume 12, Issue 1. 4 indexed citations

Kreuzer, Martin, et al.. (2020). A fault attack on KCipher-2. 6(4). 291–312. 1 indexed citations

Kreuzer, Martin, et al.. (2018). The Dedekind different of a Cayley–Bacharach scheme. Journal of Algebra and Its Applications. 18(2). 1950027–1950027. 1 indexed citations

Schubert, Tobias, et al.. (2016). Small Scale AES Toolbox: Algebraic and Propositional Formulas, Circuit-Implementations and Fault Equations. 10 indexed citations

Kreuzer, Martin, et al.. (2016). Computational aspects of Burnside rings, part I: the ring structure. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 58(3). 427–452.

Kreuzer, Martin, et al.. (2016). Computing Boolean Border Bases. 465–472.

10.

Fine, Benjamin, Martin Kreuzer, & Gerhard Rosenberger. (2014). Faithful real representations of cyclically pinched one-relator groups. SHILAP Revista de lepidopterología. 1 indexed citations

11.

Geramita, Anthony V. & Martin Kreuzer. (2013). On the uniformity of zero-dimensional complete intersections. Journal of Algebra. 391. 82–92. 4 indexed citations

12.

Kreuzer, Martin. (2007). COMPUTING HILBERT-KUNZ FUNCTIONS OF 1-DIMENSIONAL GRADED RINGS. 2 indexed citations

13.

Cattani, Eduardo, David A. Cox, Alicia Dickenstein, et al.. (2005). Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics). Springer eBooks. 12 indexed citations

14.

Kreuzer, Martin, et al.. (2004). Characterizations of border bases. Journal of Pure and Applied Algebra. 196(2-3). 251–270. 19 indexed citations

15.

Kreuzer, Martin, et al.. (2004). Efficiently computing minimal sets of critical pairs. Journal of Symbolic Computation. 38(4). 1169–1190. 9 indexed citations

16.

Abbott, John, Martin Kreuzer, & Lorenzo Robbiano. (2004). Computing zero-dimensional schemes. Journal of Symbolic Computation. 39(1). 31–49. 3 indexed citations

17.

Kreuzer, Martin, Juan Migliore, Chris Peterson, & Uwe Nagel. (2000). Determinantal schemes and Buchsbaum–Rim sheaves. Journal of Pure and Applied Algebra. 150(2). 155–174. 16 indexed citations

18.

Kreuzer, Martin, et al.. (1998). Extremal zero-dimensional subschemes of P2. Journal of Pure and Applied Algebra. 131(2). 159–177. 6 indexed citations

19.

Geramita, Anthony V., Martin Kreuzer, & Lorenzo Robbiano. (1993). Cayley-Bacharach schemes and their canonical modules. Transactions of the American Mathematical Society. 339(1). 163–189. 50 indexed citations

20.

Kreuzer, Martin. (1992). On 0-dimensional complete intersections. Mathematische Annalen. 292(1). 43–58. 19 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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