Brad Osgood

2.0k total citations
43 papers, 1.1k citations indexed

About

Brad Osgood is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Brad Osgood has authored 43 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Applied Mathematics, 32 papers in Geometry and Topology and 4 papers in Mathematical Physics. Recurrent topics in Brad Osgood's work include Analytic and geometric function theory (30 papers), Holomorphic and Operator Theory (16 papers) and Algebraic and Geometric Analysis (12 papers). Brad Osgood is often cited by papers focused on Analytic and geometric function theory (30 papers), Holomorphic and Operator Theory (16 papers) and Algebraic and Geometric Analysis (12 papers). Brad Osgood collaborates with scholars based in United States, Chile and India. Brad Osgood's co-authors include Peter Sarnak, F. W. Gehring, Ralph S. Phillips, Martin Chuaqui, Peter Duren, Gaven Martin, Juha Heinonen, Bruce Palka, Ch. Pommerenke and Jin Hyung Lee and has published in prestigious journals such as Proceedings of the National Academy of Sciences, IEEE Transactions on Information Theory and Annals of Mathematics.

In The Last Decade

Brad Osgood

41 papers receiving 923 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Brad Osgood United States	15	907	779	251	169	60	43	1.1k
Dmitry Khavinson United States	17	853 0.9×	368 0.5×	449 1.8×	183 1.1×	32 0.5×	81	1.1k
Kurt Strebel Switzerland	14	455 0.5×	714 0.9×	246 1.0×	88 0.5×	88 1.5×	36	900
Ernst Heintze Germany	15	687 0.8×	583 0.7×	352 1.4×	88 0.5×	43 0.7×	27	908
Edmond Mazet France	3	391 0.4×	267 0.3×	190 0.8×	116 0.7×	45 0.8×	9	548
Hajime Urakawa Japan	16	556 0.6×	476 0.6×	171 0.7×	101 0.6×	39 0.7×	83	696
Mikael Passare Sweden	14	208 0.2×	333 0.4×	117 0.5×	247 1.5×	41 0.7×	34	564
Matthias Lesch Germany	18	413 0.5×	211 0.3×	705 2.8×	166 1.0×	117 1.9×	42	841
Josef F. Dorfmeister Germany	15	496 0.5×	535 0.7×	241 1.0×	36 0.2×	135 2.3×	79	728
Reese Harvey United States	18	1.2k 1.3×	996 1.3×	386 1.5×	158 0.9×	124 2.1×	38	1.5k
Paolo Piccione Brazil	15	529 0.6×	354 0.5×	205 0.8×	95 0.6×	78 1.3×	113	799

Countries citing papers authored by Brad Osgood

Since Specialization

Citations

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

Fields of papers citing papers by Brad Osgood

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Brad Osgood

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

Chuaqui, Martin & Brad Osgood. (2023). Best Möbius Approximations of Convex and Concave Mappings. Computational Methods and Function Theory. 25(1). 139–149.

Chuaqui, Martin, et al.. (2022). On convolution, convex, and starlike mappings. Studia Universitatis Babes-Bolyai Matematica. 67(2). 431–440. 1 indexed citations

Chuaqui, Martin, Peter Duren, & Brad Osgood. (2012). Concave conformal mappings and pre-vertices of Schwarz-Christoffel mappings. Proceedings of the American Mathematical Society. 140(10). 3495–3505. 5 indexed citations

Chuaqui, Martin, Peter Duren, & Brad Osgood. (2011). Injectivity Criteria for Holomorphic Curves in C<sup>n</sup>. Pure and Applied Mathematics Quarterly. 7(1). 223–251. 4 indexed citations

Chuaqui, Martin, et al.. (2009). OSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS. Bulletin of the Australian Mathematical Society. 79(1). 161–169. 7 indexed citations

Chuaqui, Martin, Peter Duren, & Brad Osgood. (2007). Schwarzian derivative criteria for valence of analytic and harmonic mappings. Mathematical Proceedings of the Cambridge Philosophical Society. 143(2). 473–486. 13 indexed citations

Chuaqui, Martin, Peter Duren, & Brad Osgood. (2005). Ellipses, near ellipses, and harmonic Möbius transformations. Proceedings of the American Mathematical Society. 133(9). 2705–2710. 8 indexed citations

Chuaqui, Martin, Peter Duren, & Brad Osgood. (2003). The Schwarzian derivative for harmonic mappings. Journal d Analyse Mathématique. 91(1). 329–351. 35 indexed citations

Chuaqui, Martin & Brad Osgood. (1998). Finding complete conformal metrics to extend conformal mappings. Indiana University Mathematics Journal. 47(4). 0–0. 4 indexed citations

10.

Chuaqui, Martin & Brad Osgood. (1995). An extension of a theorem of Gehring and Pommerenke. Israel Journal of Mathematics. 91(1-3). 393–407. 4 indexed citations

11.

Chuaqui, Martin & Brad Osgood. (1993). Sharp Distortion Theorems Associated with the Schwarzian Derivative. Journal of the London Mathematical Society. s2-48(2). 289–298. 30 indexed citations

12.

Osgood, Brad, et al.. (1992). The Schwarzian derivative and conformal mapping of Riemannian manifolds. Duke Mathematical Journal. 67(1). 53 indexed citations

13.

Chuaqui, Martin & Brad Osgood. (1992). The Schwarzian derivative and conformally natural quasiconformal extensions from one to two to three dimensions. Mathematische Annalen. 292(1). 267–280. 5 indexed citations

14.

Osgood, Brad, et al.. (1989). Moduli Space, Heights and Isospectral Sets of Plane Domains. Annals of Mathematics. 129(2). 293–293. 35 indexed citations

15.

Osgood, Brad, Ralph S. Phillips, & Peter Sarnak. (1988). Extremals of determinants of Laplacians. Journal of Functional Analysis. 80(1). 148–211. 274 indexed citations

16.

Osgood, Brad, Ralph S. Phillips, & Peter Sarnak. (1988). Compact isospectral sets of surfaces. Journal of Functional Analysis. 80(1). 212–234. 101 indexed citations

17.

Osgood, Brad, et al.. (1987). The Schwarzian distance between domains: A question of O. Lehto. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 12. 313–318. 1 indexed citations

18.

Osgood, Brad. (1980). Univalence Criteria in Multiply-Connected Domains. Transactions of the American Mathematical Society. 260(2). 459–459. 2 indexed citations

19.

Osgood, Brad. (1980). Univalence criteria in multiply-connected domains. Transactions of the American Mathematical Society. 260(2). 459–473. 8 indexed citations

20.

Gehring, F. W. & Brad Osgood. (1979). Uniform domains and the quasi-hyperbolic metric. Journal d Analyse Mathématique. 36(1). 50–74. 257 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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