Matthias Kreck

1.4k total citations
51 papers, 591 citations indexed

About

Matthias Kreck is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Matthias Kreck has authored 51 papers receiving a total of 591 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Geometry and Topology, 33 papers in Mathematical Physics and 8 papers in Applied Mathematics. Recurrent topics in Matthias Kreck's work include Geometric and Algebraic Topology (30 papers), Homotopy and Cohomology in Algebraic Topology (25 papers) and Algebraic Geometry and Number Theory (7 papers). Matthias Kreck is often cited by papers focused on Geometric and Algebraic Topology (30 papers), Homotopy and Cohomology in Algebraic Topology (25 papers) and Algebraic Geometry and Number Theory (7 papers). Matthias Kreck collaborates with scholars based in Germany, United States and Canada. Matthias Kreck's co-authors include Stephan Stolz, Ian Hambleton, Peter Teichner, Wolfgang Lück, Erhard Scholz, Éric Leichtnam, Friedrich Hirzebruch, Oleg Viro, Volker Puppe and Georgia Triantafillou and has published in prestigious journals such as Scientific Reports, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Matthias Kreck

46 papers receiving 499 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Matthias Kreck Germany	12	489	429	161	87	53	51	591
François Labourie France	15	531 1.1×	450 1.0×	222 1.4×	62 0.7×	39 0.7×	36	655
Aroldo Kaplan United States	10	500 1.0×	470 1.1×	424 2.6×	32 0.4×	62 1.2×	24	822
L. E. Jones United States	16	687 1.4×	639 1.5×	154 1.0×	61 0.7×	68 1.3×	63	806
Yael Karshon Canada	14	473 1.0×	397 0.9×	80 0.5×	138 1.6×	32 0.6×	40	610
Martin A. Guest Japan	14	376 0.8×	238 0.6×	152 0.9×	28 0.3×	51 1.0×	42	487
Kevin Corlette United States	9	539 1.1×	411 1.0×	203 1.3×	27 0.3×	25 0.5×	12	617
Jiri Dadok United States	10	228 0.5×	204 0.5×	210 1.3×	20 0.2×	17 0.3×	22	385
Michael Nakamaye United States	11	409 0.8×	161 0.4×	193 1.2×	27 0.3×	56 1.1×	26	432
Tamás Hausel United States	13	451 0.9×	362 0.8×	59 0.4×	124 1.4×	23 0.4×	30	521
YOZÔ MATSUSHIMA Japan	16	671 1.4×	451 1.1×	340 2.1×	53 0.6×	31 0.6×	32	830

Countries citing papers authored by Matthias Kreck

Since Specialization

Citations

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

Fields of papers citing papers by Matthias Kreck

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Matthias Kreck

This figure shows the co-authorship network connecting the top 25 collaborators of Matthias Kreck. A scholar is included among the top collaborators of Matthias Kreck 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 Matthias Kreck. Matthias Kreck 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

Kreck, Matthias & Erhard Scholz. (2022). Back to the Roots: A Discrete Kermack–McKendrick Model Adapted to Covid-19. Bulletin of Mathematical Biology. 84(4). 44–44. 5 indexed citations

Lehrach, Hans, Jon Curtis, Bodo Lange, et al.. (2022). Proposal of a population wide genome-based testing for Covid-19. Scientific Reports. 12(1). 5618–5618. 4 indexed citations

Kreck, Matthias, et al.. (2021). Finiteness and infiniteness results for Torelli groups of (hyper-)Kähler manifolds. Mathematische Annalen. 381(1-2). 841–852.

Kreck, Matthias, et al.. (2017). On 5-manifolds with free fundamental group and simple boundary links in S<sup>5</sup>. MPG.PuRe (Max Planck Society). 4 indexed citations

Kreck, Matthias. (2011). Simply connected asymmetric manifolds. Journal of Topology. 4(1). 254–255. 1 indexed citations

Kreck, Matthias. (2010). Differential Algebraic Topology. Graduate studies in mathematics. 8 indexed citations

Hirzebruch, Friedrich & Matthias Kreck. (2009). On the concept of genus in topology and complex analysis. Notices of the American Mathematical Society. 56(6). 713–719. 6 indexed citations

Kreck, Matthias. (2009). Simply connected asymmetric manifolds. Journal of Topology. 2(2). 249–261. 2 indexed citations

Kreck, Matthias, et al.. (2009). Topological Rigidity for Non-aspherical Manifolds. Pure and Applied Mathematics Quarterly. 5(3). 873–914. 9 indexed citations

10.

Kreck, Matthias, et al.. (2009). Homology and cohomology theories on manifolds. URN:NBN Resolver for Germany & Switzerland (German National Library).

11.

Kreck, Matthias, et al.. (2006). Characterization of celery juices made of different celery varieties at different irrigation levels. Deutsche Lebensmittel-Rundschau. 102(1). 17–24. 4 indexed citations

12.

Leichtnam, Éric, Wolfgang Lück, & Matthias Kreck. (2002). On the cut-and-paste property of higher signatures of a closed oriented manifold. Topology. 41(4). 725–744. 8 indexed citations

13.

Kreck, Matthias. (2001). An inverse to the Poincaré conjecture. Archiv der Mathematik. 77(1). 98–106. 2 indexed citations

14.

Kreck, Matthias & Stephan Stolz. (1993). Nonconnected moduli spaces of positive sectional curvature metrics. Journal of the American Mathematical Society. 6(4). 825–850. 36 indexed citations

15.

Kreck, Matthias & Stephan Stolz. (1993). Nonconnected Moduli Spaces of Positive Sectional Curvature Metrics. Journal of the American Mathematical Society. 6(4). 825–825. 12 indexed citations

16.

Kreck, Matthias & Georgia Triantafillou. (1991). On the Classification of Manifolds Up to Finite Ambiguity. Canadian Journal of Mathematics. 43(2). 356–370. 4 indexed citations

17.

Kreck, Matthias & Stephan Stolz. (1991). Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature. Journal of Differential Geometry. 33(2). 55 indexed citations

18.

Hambleton, Ian & Matthias Kreck. (1990). Smooth structures on algebraic surfaces with finite fundamental group. Inventiones mathematicae. 102(1). 109–114. 4 indexed citations

19.

Kreck, Matthias, et al.. (1987). Exotic knottings of surfaces in the 4-sphere. Bulletin of the American Mathematical Society. 17(2). 287–290. 7 indexed citations

20.

Kreck, Matthias. (1976). Cobordism of odd-dimensional diffeomorphisms. Topology. 15(4). 353–361. 4 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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