D. Burns

859 total citations
19 papers, 425 citations indexed

About

D. Burns is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, D. Burns has authored 19 papers receiving a total of 425 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 14 papers in Applied Mathematics and 4 papers in Mathematical Physics. Recurrent topics in D. Burns's work include Holomorphic and Operator Theory (8 papers), Geometry and complex manifolds (8 papers) and Geometric Analysis and Curvature Flows (8 papers). D. Burns is often cited by papers focused on Holomorphic and Operator Theory (8 papers), Geometry and complex manifolds (8 papers) and Geometric Analysis and Curvature Flows (8 papers). D. Burns collaborates with scholars based in United States, Canada and Mexico. D. Burns's co-authors include Michael Rapoport, Jonathan Wahl, Steven Shnider, Paolo de Bartolomeis, Charles L. Epstein, Klas Diederich, Erhard Seiler, S. N. M. Ruijsenaars, Eric Bedford and Victor Guillemin and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Physics and Annals of Mathematics.

In The Last Decade

D. Burns

19 papers receiving 334 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
D. Burns United States	10	357	278	135	52	37	19	425
Jiri Dadok United States	10	228 0.6×	210 0.8×	204 1.5×	47 0.9×	78 2.1×	22	385
Giuseppe Tomassini Italy	12	295 0.8×	354 1.3×	108 0.8×	42 0.8×	39 1.1×	54	437
S.-T. Yau United States	6	381 1.1×	442 1.6×	170 1.3×	127 2.4×	20 0.5×	7	560
Hideki Ozeki Japan	11	237 0.7×	251 0.9×	135 1.0×	134 2.6×	52 1.4×	14	384
Kevin Corlette United States	9	539 1.5×	203 0.7×	411 3.0×	28 0.5×	38 1.0×	12	617
Subhashis Nag India	8	312 0.9×	168 0.6×	169 1.3×	12 0.2×	26 0.7×	22	387
Benjamin M. Mann United States	13	377 1.1×	200 0.7×	294 2.2×	79 1.5×	116 3.1×	33	497
Jean-Louis Koszul France	10	328 0.9×	174 0.6×	219 1.6×	47 0.9×	124 3.4×	21	444
Michael Nakamaye United States	11	409 1.1×	193 0.7×	161 1.2×	20 0.4×	55 1.5×	26	432
Carlos Olmos Argentina	11	308 0.9×	340 1.2×	115 0.9×	184 3.5×	26 0.7×	40	402

Countries citing papers authored by D. Burns

Since Specialization

Citations

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

Fields of papers citing papers by D. Burns

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of D. Burns

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

All Works

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19 of 19 papers shown

Burns, D., et al.. (2022). The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms. Pure and Applied Mathematics Quarterly. 18(1). 33–70. 2 indexed citations

Burns, D., et al.. (2009). Exterior Monge–Ampère solutions. Advances in Mathematics. 222(2). 331–358. 3 indexed citations

Burns, D., Victor Guillemin, & Eugene Lerman. (2008). Kähler metrics on singular toric varieties. Pacific Journal of Mathematics. 238(1). 27–40. 5 indexed citations

Burns, D. & Richard Hind. (2006). Symplectic rigidity for Anosov hypersurfaces. Ergodic Theory and Dynamical Systems. 26(5). 1399–1416. 2 indexed citations

Burns, D., et al.. (2005). Rationality of renormalized Chern classes. Pure and Applied Mathematics Quarterly. 1(3). 449–478. 1 indexed citations

Burns, D. & Charles L. Epstein. (1990). Characteristic numbers of bounded domains. Acta Mathematica. 164(0). 29–71. 17 indexed citations

Burns, D. & Charles L. Epstein. (1988). A global invariant for three dimensional CR-manifolds. Inventiones mathematicae. 92(2). 333–348. 27 indexed citations

Burns, D. & Paolo de Bartolomeis. (1988). Stability of vector bundles and extremal metrics. Inventiones mathematicae. 92(2). 403–407. 45 indexed citations

Burns, D.. (1982). Curvatures of Monge-Ampere Foliations and Parabolic Manifolds. Annals of Mathematics. 115(2). 349–349. 30 indexed citations

10.

Burns, D. & Steven Shnider. (1980). Projective connections in CR geometry. manuscripta mathematica. 33(1). 1–26. 7 indexed citations

11.

Bedford, Eric & D. Burns. (1979). Holomorphic mapping of annuli in $C^n$ and the associated extremal function. French digital mathematics library (Numdam). 6(3). 381–414. 4 indexed citations

12.

Ruijsenaars, S. N. M., et al.. (1979). On finite action solutions of the nonlinear σ-model. Annals of Physics. 119(2). 305–325. 26 indexed citations

13.

Burns, D. & Steven Shnider. (1979). Geometry of hypersurfaces and mapping theorems in C n. Commentarii Mathematici Helvetici. 54(1). 199–217. 11 indexed citations

14.

Bedford, Eric & D. Burns. (1978). Domains of existence for plurisubharmonic functions. Mathematische Annalen. 238(1). 67–69. 8 indexed citations

15.

Burns, D., Klas Diederich, & Steven Shnider. (1977). Distinguished curves in pseudoconvex boundaries. Duke Mathematical Journal. 44(2). 47 indexed citations

16.

Burns, D. & Steven Shnider. (1975). Pseudoconformal Geometry of Hypersurfaces in C ^{n +1}. Proceedings of the National Academy of Sciences. 72(6). 2433–2436. 6 indexed citations

17.

Burns, D. & Michael Rapoport. (1975). On the Torelli problem for kählerian $K-3$ surfaces. Annales Scientifiques de l École Normale Supérieure. 8(2). 235–273. 85 indexed citations

18.

Burns, D.. (1974). On rational singularities in dimensions > 2. Mathematische Annalen. 211(3). 237–244. 24 indexed citations

19.

Burns, D. & Jonathan Wahl. (1974). Local contributions to global deformations of surfaces. Inventiones mathematicae. 26(1). 67–88. 75 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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