Marc Burger

1.8k total citations
38 papers, 742 citations indexed

About

Marc Burger is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Marc Burger has authored 38 papers receiving a total of 742 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Geometry and Topology, 30 papers in Mathematical Physics and 6 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Marc Burger's work include Advanced Algebra and Geometry (20 papers), Geometric and Algebraic Topology (19 papers) and Algebraic Geometry and Number Theory (11 papers). Marc Burger is often cited by papers focused on Advanced Algebra and Geometry (20 papers), Geometric and Algebraic Topology (19 papers) and Algebraic Geometry and Number Theory (11 papers). Marc Burger collaborates with scholars based in Switzerland, Germany and United States. Marc Burger's co-authors include Shahar Mozes, Alessandra Iozzi, Anna Wienhard, Nicolas Monod, François Labourie, Pierre de la Harpe, Norbert A’Campo, Richard D. Canary, Viktor Schroeder and Alain Valette and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Journal of Differential Geometry.

In The Last Decade

Marc Burger

36 papers receiving 656 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Marc Burger Switzerland	14	624	599	119	107	92	38	742
Caucher Birkar United Kingdom	10	793 1.3×	426 0.7×	73 0.6×	159 1.5×	90 1.0×	24	812
Gregori Aleksandrovitch Margulis Germany	4	519 0.8×	563 0.9×	137 1.2×	90 0.8×	79 0.9×	4	683
András Némethi Hungary	13	542 0.9×	375 0.6×	126 1.1×	66 0.6×	89 1.0×	76	620
L. E. Jones United States	16	687 1.1×	639 1.1×	61 0.5×	154 1.4×	68 0.7×	63	806
Ian Hambleton Canada	14	601 1.0×	555 0.9×	127 1.1×	93 0.9×	76 0.8×	60	700
Alessio Corti United Kingdom	13	583 0.9×	342 0.6×	77 0.6×	51 0.5×	73 0.8×	17	608
Valery Alexeev United States	14	587 0.9×	341 0.6×	62 0.5×	73 0.7×	75 0.8×	34	602
Lee Mosher United States	16	566 0.9×	475 0.8×	113 0.9×	111 1.0×	106 1.2×	33	609
E. Bujalance Spain	15	701 1.1×	471 0.8×	311 2.6×	107 1.0×	51 0.6×	78	765
Yoichi Miyaoka Japan	15	843 1.4×	376 0.6×	77 0.6×	277 2.6×	97 1.1×	26	890

Countries citing papers authored by Marc Burger

Since Specialization

Citations

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

Fields of papers citing papers by Marc Burger

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Marc Burger

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

Burger, Marc, et al.. (2024). Positive crossratios, barycenters, trees and applications to maximal representations. Groups Geometry and Dynamics. 18(3). 799–847. 1 indexed citations

Burger, Marc, et al.. (2024). Weyl chamber length compactification of the $\textrm{PSL}(2,{\mathbb{R}})\times \textrm{PSL}(2,{\mathbb{R}})$ maximal character variety. Glasgow Mathematical Journal. 67(1). 11–33. 1 indexed citations

Burger, Marc, et al.. (2023). The Hopf–Tsuji–Sullivan dichotomy in higher rank and applications to Anosov subgroups. Journal of Modern Dynamics. 19(0). 301–330. 11 indexed citations

Burger, Marc, et al.. (2021). The real spectrum compactification of character varieties: Characterizations and applications. Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna). 5 indexed citations

Burger, Marc, et al.. (2018). The bounded Borel class and 3-manifold groups. Duke Mathematical Journal. 167(17). 5 indexed citations

Burger, Marc, et al.. (2017). On weakly maximal representations of surface groups. Project Euclid (Cornell University). 1 indexed citations

Burger, Marc, et al.. (2017). Maximal representations, non-Archimedean Siegel spaces, and buildings. Geometry & Topology. 21(6). 3539–3599. 10 indexed citations

Burger, Marc, Alessandra Iozzi, & Anna Wienhard. (2010). Surface group representations with maximal Toledo invariant. Annals of Mathematics. 172(1). 517–566. 66 indexed citations

Burger, Marc, Alessandra Iozzi, & Anna Wienhard. (2003). Surface group representations with maximal Toledo invariant. Comptes Rendus Mathématique. 336(5). 387–390. 30 indexed citations

10.

Burger, Marc, Alessandra Iozzi, & Anna Wienhard. (2003). Surface group representations with maximal Toledo invariant Sur les représentations d'un groupe de surface compacte avec invariant de Toledo maximal. 4 indexed citations

11.

Burger, Marc & Nicolas Monod. (1999). Bounded cohomology of lattices in higher rank Lie groups. Journal of the European Mathematical Society. 1(2). 199–235. 79 indexed citations

12.

Burger, Marc & Alain Valette. (1998). Idempotents in Complex Group Rings: Theorems of Zalesskii and Bass Revisited. Journal of Lie theory. 8(2). 219–228. 5 indexed citations

13.

Burger, Marc & Pierre de la Harpe. (1997). Constructing irreducible representations of discrete groups. Proceedings - Mathematical Sciences. 107(3). 223–235. 19 indexed citations

14.

Burger, Marc & Shahar Mozes. (1997). Finitely presented simple groups and products of trees. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 324(7). 747–752. 63 indexed citations

15.

Burger, Marc & Richard D. Canary. (1994). A lower bound on ... for geometrically finite hyperbolic n-manifolds.. Journal für die reine und angewandte Mathematik (Crelles Journal). 454. 37–58. 6 indexed citations

16.

A’Campo, Norbert & Marc Burger. (1994). R�seaux arithm�tiques et commensurateur d'apr�s G.A. Margulis. Inventiones mathematicae. 116(1). 1–25. 15 indexed citations

17.

Burger, Marc. (1990). Horocycle flow on geometrically finite surfaces. Duke Mathematical Journal. 61(3). 55 indexed citations

18.

Burger, Marc. (1988). Asymptotics of small eigenvalues of Riemann surfaces. Bulletin of the American Mathematical Society. 18(1). 39–40. 5 indexed citations

19.

Burger, Marc & Viktor Schroeder. (1987). Volume, diameter and the first eigenvalue of locally symmetric spaces of rank one. Journal of Differential Geometry. 26(2). 9 indexed citations

20.

Burger, Marc. (1986). Grandes valeurs propres du laplacien et graphes. 4. 95–100. 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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