Allan Greenleaf

3.5k total citations
47 papers, 2.0k citations indexed

About

Allan Greenleaf is a scholar working on Mathematical Physics, Applied Mathematics and Electronic, Optical and Magnetic Materials. According to data from OpenAlex, Allan Greenleaf has authored 47 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 24 papers in Applied Mathematics and 10 papers in Electronic, Optical and Magnetic Materials. Recurrent topics in Allan Greenleaf's work include Advanced Harmonic Analysis Research (14 papers), Mathematical Analysis and Transform Methods (14 papers) and Numerical methods in inverse problems (10 papers). Allan Greenleaf is often cited by papers focused on Advanced Harmonic Analysis Research (14 papers), Mathematical Analysis and Transform Methods (14 papers) and Numerical methods in inverse problems (10 papers). Allan Greenleaf collaborates with scholars based in United States, Finland and United Kingdom. Allan Greenleaf's co-authors include Günther Uhlmann, Matti Lassas, Yaroslav Kurylev, Andreas Seeger, Alex Iosevich, Malabika Pramanik, Ulf Leonhardt, Tristan C. Collins, Stephen Wainger and Wan Tang and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Optics Express.

In The Last Decade

Allan Greenleaf

44 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Allan Greenleaf United States 21 950 697 687 537 523 47 2.0k
Yaroslav Kurylev United Kingdom 17 573 0.6× 469 0.7× 812 1.2× 373 0.7× 321 0.6× 61 1.6k
Guy Bouchitté France 22 259 0.3× 366 0.5× 243 0.4× 239 0.4× 110 0.2× 57 1.4k
Augusto Visintin Italy 24 605 0.6× 231 0.3× 300 0.4× 145 0.3× 105 0.2× 98 2.7k
Gerhard Kristensson Sweden 25 120 0.1× 572 0.8× 304 0.4× 468 0.9× 849 1.6× 139 2.1k
Qaisar Abbas Naqvi Pakistan 29 1.3k 1.3× 2.3k 3.3× 131 0.2× 629 1.2× 1.0k 1.9× 234 3.1k
Piergiorgio L. E. Uslenghi United States 20 394 0.4× 1.7k 2.4× 117 0.2× 495 0.9× 1.1k 2.1× 171 2.5k
G. K. Leaf United States 20 208 0.2× 487 0.7× 80 0.1× 151 0.3× 111 0.2× 85 1.4k
Andreas Prohl Germany 24 143 0.2× 119 0.2× 223 0.3× 94 0.2× 91 0.2× 88 2.0k
Vaughan H. Weston United States 19 64 0.1× 414 0.6× 288 0.4× 247 0.5× 157 0.3× 66 1.0k
Angelo Morro Italy 21 69 0.1× 137 0.2× 270 0.4× 592 1.1× 49 0.1× 218 2.1k

Countries citing papers authored by Allan Greenleaf

Since Specialization
Citations

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

Fields of papers citing papers by Allan Greenleaf

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Allan Greenleaf

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

All Works

20 of 20 papers shown
1.
Greenleaf, Allan, et al.. (2024). On restricted Falconer distance sets. Canadian Journal of Mathematics. 77(2). 665–682. 3 indexed citations
2.
Greenleaf, Allan, et al.. (2015). A group-theoretic viewpoint on Erdős–Falconer problems and the Mattila integral. Revista Matemática Iberoamericana. 31(3). 799–810. 15 indexed citations
3.
Collins, Tristan C., Allan Greenleaf, & Malabika Pramanik. (2013). A multi-dimensional resolution of singularities with applications to analysis. American Journal of Mathematics. 135(5). 1179–1252. 22 indexed citations
4.
Greenleaf, Allan, Yaroslav Kurylev, Matti Lassas, & Günther Uhlmann. (2011). Approximate Quantum and Acoustic Cloaking. Journal of Spectral Theory. 1(1). 27–80. 11 indexed citations
5.
Greenleaf, Allan, Yaroslav Kurylev, Matti Lassas, & Günther Uhlmann. (2010). Mathematics of Invisibility. Journées Équations aux dérivées partielles. 1–11.
6.
Greenleaf, Allan, Yaroslav Kurylev, Matti Lassas, & Günther Uhlmann. (2009). Cloaking vs. shielding in transformation optics. arXiv (Cornell University). 3 indexed citations
7.
Greenleaf, Allan, Yaroslav Kurylev, Matti Lassas, & Günther Uhlmann. (2008). Invisibility and inverse problems. Bulletin of the American Mathematical Society. 46(1). 55–97. 82 indexed citations
8.
Greenleaf, Allan, Yaroslav Kurylev, Matti Lassas, & Günther Uhlmann. (2008). Inverse problems, invisibility, and artificial wormholes. Journal of Physics Conference Series. 124. 12005–12005. 1 indexed citations
9.
Greenleaf, Allan, Malabika Pramanik, & Wan Tang. (2007). Oscillatory integral operators with homogeneous polynomial phases in several variables. Journal of Functional Analysis. 244(2). 444–487. 8 indexed citations
10.
Greenleaf, Allan, Yaroslav Kurylev, Matti Lassas, & Günther Uhlmann. (2007). Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials. Physical Review Letters. 99(18). 183901–183901. 190 indexed citations
11.
Brandolini, Luca, Allan Greenleaf, & Giancarlo Travaglini. (2007). 𝐿^{𝑝}-𝐿^{𝑝’} estimates for overdetermined Radon transforms. Transactions of the American Mathematical Society. 359(6). 2559–2575. 3 indexed citations
12.
Greenleaf, Allan, Yaroslav Kurylev, Matti Lassas, & Günther Uhlmann. (2007). Full-Wave Invisibility of Active Devices at All Frequencies. Communications in Mathematical Physics. 275(3). 749–789. 141 indexed citations
13.
Patch, Sarah & Allan Greenleaf. (2007). Ultrasound attenuation and thermo/photo/opto-acoustic tomography: theoretical foundation. Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE. 6437. 643726–643726. 3 indexed citations
14.
Greenleaf, Allan, Matti Lassas, & Günther Uhlmann. (2003). Anisotropic conductivities that cannot be detected by EIT. Physiological Measurement. 24(2). 413–419. 234 indexed citations
15.
Greenleaf, Allan & Günther Uhlmann. (2001). Characteristic space-time estimates for the wave equation. Mathematische Zeitschrift. 236(1). 113–131. 1 indexed citations
16.
Greenleaf, Allan & Andreas Seeger. (1999). On oscillatory integral operators with folding canonical relations. Studia Mathematica. 132(2). 125–139. 14 indexed citations
17.
Greenleaf, Allan, Andreas Seeger, & Stephen Wainger. (1999). On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb {R}^4$. Proceedings of the American Mathematical Society. 127(12). 3533–3545. 15 indexed citations
18.
Greenleaf, Allan & Günther Uhlmann. (1991). Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms, II. Duke Mathematical Journal. 64(3). 12 indexed citations
19.
Greenleaf, Allan & Günther Uhlmann. (1990). Estimates for singular radon transforms and pseudodifferential operators with singular symbols. Journal of Functional Analysis. 89(1). 202–232. 100 indexed citations
20.
Greenleaf, Allan & Günther Uhlmann. (1990). Composition of some singular Fourier integral operators and estimates for restricted X -ray transforms. Annales de l’institut Fourier. 40(2). 443–466. 41 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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