Michael Greenblatt

447 total citations
31 papers, 188 citations indexed

About

Michael Greenblatt is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Michael Greenblatt has authored 31 papers receiving a total of 188 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Applied Mathematics, 10 papers in Mathematical Physics and 6 papers in Geometry and Topology. Recurrent topics in Michael Greenblatt's work include Advanced Harmonic Analysis Research (12 papers), Mathematical Analysis and Transform Methods (9 papers) and Numerical methods in inverse problems (6 papers). Michael Greenblatt is often cited by papers focused on Advanced Harmonic Analysis Research (12 papers), Mathematical Analysis and Transform Methods (9 papers) and Numerical methods in inverse problems (6 papers). Michael Greenblatt collaborates with scholars based in United States, South Africa and Belgium. Michael Greenblatt's co-authors include Robin J. Green, Charles Feldman, Jacqueline S. Galpin, S. H. Lam, Charles Feldman, Umesh Lalloo, Ismail Kalla, Richard N. van Zyl-Smit, Keertan Dheda and Guy A. Richards and has published in prestigious journals such as American Journal of Psychiatry, AIAA Journal and Transactions of the American Mathematical Society.

In The Last Decade

Michael Greenblatt

26 papers receiving 163 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Greenblatt United States 9 96 61 40 34 33 31 188
Beata Rzepka Poland 10 392 4.1× 47 0.8× 156 3.9× 10 0.3× 4 0.1× 25 448
Stefan Haller Austria 7 49 0.5× 89 1.5× 81 2.0× 7 0.2× 17 152
John Loftin United States 8 100 1.0× 48 0.8× 133 3.3× 9 0.3× 18 166
Daniyal M. İsrafilov Türkiye 11 255 2.7× 60 1.0× 27 0.7× 31 282
Hui-Chun Zhang China 10 240 2.5× 35 0.6× 130 3.3× 1 0.0× 20 251
D. Dawson Canada 4 22 0.2× 25 0.4× 23 0.6× 4 109
Abdullah Harmancı Türkiye 11 2 0.0× 14 0.2× 207 5.2× 36 1.1× 8 0.2× 69 560
Joachim Lohkamp Germany 8 167 1.7× 44 0.7× 119 3.0× 11 205
Tom Yau-heng Wan Hong Kong 10 276 2.9× 64 1.0× 244 6.1× 1 0.0× 21 323
A. D. Aleksandrov Russia 5 114 1.2× 41 0.7× 84 2.1× 1 0.0× 27 177

Countries citing papers authored by Michael Greenblatt

Since Specialization
Citations

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

Fields of papers citing papers by Michael Greenblatt

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Greenblatt

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Greenblatt. A scholar is included among the top collaborators of Michael Greenblatt 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 Michael Greenblatt. Michael Greenblatt 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.
Greenblatt, Michael. (2025). A Method for Bounding Oscillatory Integrals in Terms of Non-oscillatory Integrals. Journal of Geometric Analysis. 35(4).
2.
Lalloo, Umesh, Ismail Kalla, Keertan Dheda, et al.. (2021). Guidelines for the management of asthma in adults and adolescents: Position statement of the South African Thoracic Society – 2021 update. PubMed. 24(4). 5 indexed citations
3.
Greenblatt, Michael. (2018). L Sobolev regularity of averaging operators over hypersurfaces and the Newton polyhedron. Journal of Functional Analysis. 276(5). 1510–1527. 1 indexed citations
4.
Lalloo, Umesh, G. Ainslie, A A Awotedu, et al.. (2013). Guideline for the management of acute asthma in adults: 2013 update - Part 2: March 2013. 103(3). 189–200.
5.
Greenblatt, Michael. (2012). 𝐿^{𝑝} boundedness of maximal averages over hypersurfaces in ℝ³. Transactions of the American Mathematical Society. 365(4). 1875–1900. 5 indexed citations
6.
Lalloo, Umesh, G. Ainslie, A A Awotedu, et al.. (2012). Guideline for the management of acute asthma in adults: 2013 update. South African Medical Journal. 103(3). 189–189. 11 indexed citations
7.
Greenblatt, Michael. (2012). Stability of Oscillatory Integral Asymptotics in Two Dimensions. Journal of Geometric Analysis. 24(1). 417–444. 2 indexed citations
8.
Greenblatt, Michael. (2010). Resolution of singularities in two dimensions and the stability of integrals. Advances in Mathematics. 226(2). 1772–1802. 6 indexed citations
9.
Greenblatt, Michael. (2009). The asymptotic behavior of degenerate oscillatory integrals in two dimensions. Journal of Functional Analysis. 257(6). 1759–1798. 12 indexed citations
10.
Greenblatt, Michael, et al.. (2009). Comparison of doctor and patient assessments of asthma control. Respiratory Medicine. 104(3). 356–361. 13 indexed citations
11.
Greenblatt, Michael. (2008). Simply nondegenerate multilinear oscillatory integral operators with smooth phase. Mathematical Research Letters. 15(4). 653–660. 3 indexed citations
12.
Greenblatt, Michael. (2008). An elementary coordinate-dependent local resolution of singularities and applications. Journal of Functional Analysis. 255(8). 1957–1994. 8 indexed citations
13.
Greenblatt, Michael. (2005). Newton polygons and local integrability of negative powers of smooth functions in the plane. Transactions of the American Mathematical Society. 358(2). 657–670. 12 indexed citations
14.
Greenblatt, Michael. (2005). Sharp L 2 estimates for one-dimensional oscillatory integral operators with C ∞ phase. American Journal of Mathematics. 127(3). 659–695. 14 indexed citations
15.
Greenblatt, Michael. (2004). A direct resolution of singularities for functions of two variables with applications to analysis. Journal d Analyse Mathématique. 92(1). 233–257. 15 indexed citations
16.
Greenblatt, Michael. (2003). Metrics and smoothing of translation-invariant Radon transforms along curves. Journal of Functional Analysis. 206(2). 307–321. 2 indexed citations
17.
Green, Robin J., et al.. (2001). Asthma management and perceptions in rural South Africa. Annals of Allergy Asthma & Immunology. 86(3). 343–347. 13 indexed citations
18.
Greenblatt, Michael. (2001). A method for proving Lp-boundedness of singular Radon transforms in codimension 1. Duke Mathematical Journal. 108(2). 7 indexed citations
19.
Greenblatt, Michael. (2001). Boundedness of singular radon transforms on L p spaces under a finite-type condition. American Journal of Mathematics. 123(6). 1009–1053. 5 indexed citations
20.
Lam, S. H. & Michael Greenblatt. (1965). Flow of a collisionless plasma over a cone.. AIAA Journal. 3(10). 1850–1855. 5 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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