Michael E. Taylor

11.7k citations

199 papers · 7.8k · 3 hit papers · h-index 41

Impact in

Mathematical Physics top 0.05%
- Advanced Mathematical Physics Problems
- Numerical methods in inverse problems
- Spectral Theory in Mathematical Physics
Applied Mathematics top 0.05%
- Nonlinear Partial Differential Equations
- Advanced Harmonic Analysis Research
- Geometric Analysis and Curvature Flows

Papers in

Mathematical Physics 82
- Spectral Theory in Mathematical Physics 28
- Advanced Mathematical Physics Problems 26
- Numerical methods in inverse problems 23
Applied Mathematics 80
- Advanced Harmonic Analysis Research 33
- Nonlinear Partial Differential Equations 28
- Mathematical Analysis and Transform Methods 16

Co-authors: Marius Mitrea (14 shared papers)Jeffrey Rauch (8 shared papers)Jeff Cheeger (2 shared papers)M. Gromov (1 shared paper)H.E. Cook (6 shared papers)Barry Simon (3 shared papers)Richard Melrose (1 shared paper)Anna L. Mazzucato (3 shared papers)
Journals: Communications in Partial Differential Equations (13 papers)Proceedings of the American Mathematical Society (12 papers)Journal of Functional Analysis (8 papers)Communications on Pure and Applied Mathematics (7 papers)Transactions of the American Mathematical Society (6 papers)
Partner nations: United States Australia United Kingdom

In The Last Decade

Michael E. Taylor

180 papers receiving 6.8k citations

Michael E. Taylor's Hit Papers

align trajectories log scale

Partial Differential Equations I: Basic Theory 1996 · 515 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1996 CERN Document Server (European Organization for Nuclear Research)
1982 Journal of Differential Geometry
1981 Princeton University Press eBooks

Peers

Countries citing papers authored by Michael E. Taylor

Since Specialization

Citations

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

Fields of papers citing papers by Michael E. Taylor

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Michael E. Taylor, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Michael E. Taylor Line = papers co-authored together Michael E. Taylor links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 199 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds Journal of Differential Geometry ·Jeff Cheeger, M. Gromov, Michael E. Taylor Hit paper breakdown →	1982	530
2	Partial Differential Equations I: Basic Theory CERN Document Server (European Organization for Nuclear Research) ·Michael E. Taylor Hit paper breakdown →	1996	515
3	Pseudodifferential Operators (PMS-34) Princeton University Press eBooks ·Michael E. Taylor Hit paper breakdown →	1981	482
4	Partial Differential Equations III Applied mathematical sciences ·Michael E. Taylor	1996	274
5	Partial Differential Equations III Applied mathematical sciences ·Michael E. Taylor	2010	269
6	Partial Differential Equations Texts in applied mathematics ·Michael E. Taylor	1996	246
7	Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations Communications in Partial Differential Equations ·Michael E. Taylor	1992	223
8	Partial Differential Equations II: Qualitative Studies of Linear Equations CERN Document Server (European Organization for Nuclear Research) ·Michael E. Taylor	1996	221
9	Potential and scattering theory on wildly perturbed domains Journal of Functional Analysis ·Jeffrey Rauch, Michael E. Taylor	1975	209
10	Noncommutative Harmonic Analysis Mathematical surveys and monographs ·Michael E. Taylor	1986	193
11	Partial Differential Equations II Applied mathematical sciences ·Michael E. Taylor	1996	186
12	Exponential Decay of Solutions to Hyperbolic Equations in Bounded Domains Indiana University Mathematics Journal ·Jeffrey Rauch, Michael E. Taylor	1974	178
13	Tools for PDE Mathematical surveys and monographs ·Michael E. Taylor	2007	174
14	Pseudo differential operators Lecture notes in mathematics ·Michael E. Taylor	1974	148
15	Partial Differential Equations II Applied mathematical sciences ·Michael E. Taylor	2010	146
16	Pseudo Differential Operators Lecture notes in mathematics ·Michael E. Taylor	1974	143
17	Short papers for the Second International Symposium on the Cambrian System, 1981 Antarctica A Keystone in a Changing World ·Michael E. Taylor, (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), 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(unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown), (unknown)	1981	136
18	Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds Memoirs of the American Mathematical Society ·Dorina Mitrea, Marius Mitrea, Michael E. Taylor	2001	125
19	Grazing rays and reflection of singularities of solutions to wave equations Communications on Pure and Applied Mathematics ·Michael E. Taylor	1976	120
20	Boundary Layer Methods for Lipschitz Domains in Riemannian Manifolds Journal of Functional Analysis ·Marius Mitrea, Michael E. Taylor	1999	116

About Michael E. Taylor

Michael E. Taylor is a scholar working on Mathematical Physics, Applied Mathematics, Computational Theory and Mathematics, Paleontology and Atomic and Molecular Physics, and Optics, having authored 199 papers that have together received 7.8k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (41 papers), Advanced Harmonic Analysis Research (33 papers), Nonlinear Partial Differential Equations (28 papers), Spectral Theory in Mathematical Physics (28 papers), Advanced Mathematical Physics Problems (26 papers), Numerical methods in inverse problems (23 papers), Paleontology and Stratigraphy of Fossils (19 papers) and Mathematical Analysis and Transform Methods (16 papers). The work is most often cited by research in Mathematical Physics (3.9k citations), Applied Mathematics (3.8k citations), Computational Theory and Mathematics (2.2k citations), Paleontology (645 citations) and Geometry and Topology (744 citations). Michael E. Taylor has collaborated with scholars based in United States, Australia and United Kingdom. Frequent co-authors include Marius Mitrea, Jeffrey Rauch, Jeff Cheeger, M. Gromov, H.E. Cook, Barry Simon, Richard Melrose, Anna L. Mazzucato, Dorina Mitrea and Bruce Runnegar. Their work appears in journals such as Communications in Partial Differential Equations, Proceedings of the American Mathematical Society, Journal of Functional Analysis, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

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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Michael E. Taylor

Michael E. Taylor's Hit Papers

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All Works

About Michael E. Taylor

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