Bernd Ammann

967 total citations
46 papers, 417 citations indexed

About

Bernd Ammann is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Bernd Ammann has authored 46 papers receiving a total of 417 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Applied Mathematics, 28 papers in Mathematical Physics and 16 papers in Geometry and Topology. Recurrent topics in Bernd Ammann's work include Geometric Analysis and Curvature Flows (29 papers), Nonlinear Partial Differential Equations (17 papers) and Advanced Operator Algebra Research (16 papers). Bernd Ammann is often cited by papers focused on Geometric Analysis and Curvature Flows (29 papers), Nonlinear Partial Differential Equations (17 papers) and Advanced Operator Algebra Research (16 papers). Bernd Ammann collaborates with scholars based in Germany, France and Sweden. Bernd Ammann's co-authors include Victor Nistor, Emmanuel Humbert, Christian Bär, Alexandru D. Ionescu, Mattias Dahl, Bertrand Morel, Nicolas Ginoux, Robert Lauter, Frederik Witt and Mohameden Ould Ahmedou and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Annals of Mathematics and Advances in Mathematics.

In The Last Decade

Bernd Ammann

43 papers receiving 394 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Bernd Ammann Germany	12	310	236	160	100	40	46	417
Sun Chang United States	10	637 2.1×	229 1.0×	187 1.2×	144 1.4×	16 0.4×	13	669
Edoardo Vesentini Italy	10	399 1.3×	205 0.9×	420 2.6×	68 0.7×	65 1.6×	39	619
Frederico Xavier United States	11	312 1.0×	91 0.4×	333 2.1×	36 0.4×	23 0.6×	32	426
César Camacho Brazil	10	284 0.9×	302 1.3×	593 3.7×	43 0.4×	63 1.6×	29	664
Alberto Verjovsky Mexico	10	107 0.3×	175 0.7×	284 1.8×	43 0.4×	49 1.2×	44	340
Martin A. Guest Japan	14	152 0.5×	238 1.0×	376 2.4×	51 0.5×	103 2.6×	42	487
L. M. Sibner United States	10	176 0.6×	106 0.4×	141 0.9×	50 0.5×	12 0.3×	22	318
Lawrence Conlon United States	14	249 0.8×	375 1.6×	443 2.8×	60 0.6×	72 1.8×	60	610
Lavi Karp Israel	8	186 0.6×	109 0.5×	54 0.3×	95 0.9×	6 0.1×	20	237
Yuri A. Kordyukov Russia	9	116 0.4×	179 0.8×	67 0.4×	68 0.7×	19 0.5×	53	234

Countries citing papers authored by Bernd Ammann

Since Specialization

Citations

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

Fields of papers citing papers by Bernd Ammann

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bernd Ammann

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

Ammann, Bernd, et al.. (2023). A regularity result for the bound states of N-body Schrödinger operators: blow-ups and Lie manifolds. Letters in Mathematical Physics. 113(1). 1 indexed citations

Ammann, Bernd, et al.. (2021). Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors. University of Regensburg Publication Server (University of Regensburg). 1 indexed citations

Nistor, Victor, et al.. (2019). Well-posedness of the Laplacian on manifolds with boundary and bounded geometry. HAL (Le Centre pour la Communication Scientifique Directe). 8 indexed citations

Ammann, Bernd, et al.. (2019). A comparison of the Georgescu and Vasy spaces associated to the N-body problems and applications. arXiv (Cornell University). 3 indexed citations

Ammann, Bernd, et al.. (2019). Analysis and boundary value problems on singular domains: An approach via bounded geometry. Comptes Rendus Mathématique. 357(6). 487–493. 3 indexed citations

Ammann, Bernd & Nicolas Ginoux. (2018). Some examples of Dirac-harmonic maps. Letters in Mathematical Physics. 109(5). 1205–1218. 3 indexed citations

Ammann, Bernd, Mattias Dahl, & Emmanuel Humbert. (2015). Low-dimensional surgery and the Yamabe invariant. Journal of the Mathematical Society of Japan. 67(1). 3 indexed citations

Ammann, Bernd, Mattias Dahl, & Emmanuel Humbert. (2011). The conformal Yamabe constant of product manifolds. University of Regensburg Publication Server (University of Regensburg). 5 indexed citations

Ammann, Bernd. (2009). The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions. Communications in Analysis and Geometry. 17(3). 429–479. 25 indexed citations

10.

Ammann, Bernd, Mattias Dahl, & Emmanuel Humbert. (2008). Surgery and harmonic spinors. Advances in Mathematics. 220(2). 523–539. 18 indexed citations

11.

Ammann, Bernd, Emmanuel Humbert, & Mohameden Ould Ahmedou. (2006). An obstruction for the mean curvature of a conformal immersion 𝑆ⁿ→ℝⁿ⁺¹. Proceedings of the American Mathematical Society. 135(2). 489–493. 9 indexed citations

12.

Ionescu, Alexandru D., Victor Nistor, & Bernd Ammann. (2006). Sobolev spaces on Lie manifolds and regularity for polyhedral domains. Documenta Mathematica. 11. 161–206. 31 indexed citations

13.

Ammann, Bernd, et al.. (2005). The second Yamabe invariant. Journal of Functional Analysis. 235(2). 377–412. 23 indexed citations

14.

Ammann, Bernd, et al.. (2005). Positive mass theorem for the Yamabe problem on spin manifolds. Geometric and Functional Analysis. 15(3). 567–576. 8 indexed citations

15.

Ammann, Bernd, et al.. (2004). Sobolev spaces and regularity for polyhedral domains. arXiv (Cornell University). 7 indexed citations

16.

Ammann, Bernd, Emmanuel Humbert, & Bertrand Morel. (2004). Un problème de type Yamabe sur les variétés spinorielles compactes. Comptes Rendus Mathématique. 338(12). 929–934. 3 indexed citations

17.

Ammann, Bernd, Emmanuel Humbert, & Bertrand Morel. (2003). On a nonlinear Dirac equation of Yamabe type. arXiv (Cornell University). 2 indexed citations

18.

Ammann, Bernd. (2002). A spin-conformal lower bound of the first positive Dirac eigenvalue. Differential Geometry and its Applications. 18(1). 21–32. 32 indexed citations

19.

Ammann, Bernd. (2000). The Willmore conjecture for immersed tori with small curvature integral. manuscripta mathematica. 101(1). 1–22. 10 indexed citations

20.

Ammann, Bernd. (1998). The Dirac operator on collapsing S 1 -bundles. FreiDok plus (Universitätsbibliothek Freiburg). 16. 33–42. 6 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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