Ralf Spatzier

1.3k total citations
32 papers, 630 citations indexed

About

Ralf Spatzier is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Ralf Spatzier has authored 32 papers receiving a total of 630 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 23 papers in Mathematical Physics and 10 papers in Applied Mathematics. Recurrent topics in Ralf Spatzier's work include Mathematical Dynamics and Fractals (17 papers), Geometry and complex manifolds (11 papers) and Geometric Analysis and Curvature Flows (10 papers). Ralf Spatzier is often cited by papers focused on Mathematical Dynamics and Fractals (17 papers), Geometry and complex manifolds (11 papers) and Geometric Analysis and Curvature Flows (10 papers). Ralf Spatzier collaborates with scholars based in United States, United Kingdom and Poland. Ralf Spatzier's co-authors include A. Katok, Keith Burns, Anatole Katok, Boris Kalinin, Robert J. Zimmer, Werner Ballmann, Gabriel P. Paternain, Scot Adams, Alexander Gorodnik and Livio Flaminio and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Ralf Spatzier

30 papers receiving 505 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ralf Spatzier United States	15	511	445	180	149	67	32	630
Paulo Sad Brazil	10	492 1.0×	695 1.6×	370 2.1×	145 1.0×	44 0.7×	27	835
Ronnie Lee United States	14	587 1.1×	564 1.3×	129 0.7×	62 0.4×	73 1.1×	56	730
François Labourie France	15	450 0.9×	531 1.2×	222 1.2×	41 0.3×	39 0.6×	36	655
J. F. Plante United States	13	463 0.9×	442 1.0×	181 1.0×	68 0.5×	63 0.9×	26	599
César Camacho Brazil	10	302 0.6×	593 1.3×	284 1.6×	74 0.5×	43 0.6×	29	664
Matthias Kreck Germany	12	429 0.8×	489 1.1×	161 0.9×	21 0.1×	53 0.8×	51	591
Duco van Straten Germany	14	212 0.4×	354 0.8×	59 0.3×	63 0.4×	59 0.9×	45	490
Jun-Muk Hwang South Korea	14	321 0.6×	604 1.4×	186 1.0×	66 0.4×	55 0.8×	75	627
Ivan Babenko Russia	11	258 0.5×	293 0.7×	117 0.7×	43 0.3×	44 0.7×	44	372
Reinhard Schultz United States	13	449 0.9×	421 0.9×	111 0.6×	21 0.1×	41 0.6×	81	543

Countries citing papers authored by Ralf Spatzier

Since Specialization

Citations

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

Fields of papers citing papers by Ralf Spatzier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ralf Spatzier

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

Spatzier, Ralf, et al.. (2023). Cartan actions of higher rank abelian groups and their classification. Journal of the American Mathematical Society. 37(3). 731–859. 1 indexed citations

Katok, Svetlana, Bassam Fayad, Giovanni Forni, et al.. (2021). The Collected Works of Anatole Katok. WORLD SCIENTIFIC eBooks. 1 indexed citations

Spatzier, Ralf, et al.. (2017). Exponential mixing and smooth classification of commuting expanding maps. Journal of Modern Dynamics. 11(1). 263–312. 1 indexed citations

Schmidt, Benjamin, et al.. (2016). Positively curved manifolds with large spherical rank. Commentarii Mathematici Helvetici. 91(2). 219–251. 3 indexed citations

Spatzier, Ralf, et al.. (2015). Affine maps between CAT(0) spaces. Geometriae Dedicata. 180(1). 1–16. 2 indexed citations

Gorodnik, Alexander & Ralf Spatzier. (2015). Mixing properties of commuting nilmanifold automorphisms. Acta Mathematica. 215(1). 127–159. 8 indexed citations

Gorodnik, Alexander & Ralf Spatzier. (2014). Exponential mixing of nilmanifold automorphisms. Journal d Analyse Mathématique. 123(1). 355–396. 10 indexed citations

Spatzier, Ralf, et al.. (2005). Spherical rank rigidity and Blaschke manifolds. Duke Mathematical Journal. 128(1). 8 indexed citations

Spatzier, Ralf, et al.. (1997). On Livšic’s theorem, superrigidity, and Anosov actions of semisimple Lie groups. Duke Mathematical Journal. 88(1). 7 indexed citations

10.

Katok, A. & Ralf Spatzier. (1996). Invariant measures for higher-rank hyperbolic abelian actions. Ergodic Theory and Dynamical Systems. 16(4). 751–778. 81 indexed citations

11.

Katok, A. & Ralf Spatzier. (1996). . 2(3). 124–134. 2 indexed citations

12.

Paternain, Gabriel P. & Ralf Spatzier. (1994). New Examples of Manifolds with Completely Integrable Geodesic Flows. Advances in Mathematics. 108(2). 346–366. 21 indexed citations

13.

Katok, A. & Ralf Spatzier. (1994). Subelliptic Estimates of Polynomial Differential Operators and Applications to Rigidity of Abelian Actions. Mathematical Research Letters. 1(2). 193–202. 34 indexed citations

14.

Spatzier, Ralf & Robert J. Zimmer. (1991). Fundamental groups of negatively curved manifolds and actions of semisimple groups. Topology. 30(4). 591–601. 23 indexed citations

15.

Adams, Scot & Ralf Spatzier. (1990). Kazhdan Groups, Cocycles and Trees. American Journal of Mathematics. 112(2). 271–271. 19 indexed citations

16.

Spatzier, Ralf, et al.. (1990). Some examples of higher ank manifolds of nonnegative curvature. Commentarii Mathematici Helvetici. 65(1). 299–317. 12 indexed citations

17.

Flaminio, Livio & Ralf Spatzier. (1990). Geometrically finite groups, Patterson-Sullivan measures and Ratner's ridigity theorem. Inventiones mathematicae. 99(1). 601–626. 15 indexed citations

18.

Spatzier, Ralf. (1989). On isospectral locally symmetric spaces and a theorem of von Neumann. Duke Mathematical Journal. 59(1). 10 indexed citations

19.

Ballmann, Werner, et al.. (1985). Structure of Manifolds of Nonpositive Curvature. II. Annals of Mathematics. 122(2). 205–205. 32 indexed citations

20.

Spatzier, Ralf. (1981). On lattices acting on boundaries of semi-simple groups. Ergodic Theory and Dynamical Systems. 1(4). 489–494. 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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