Richard Melrose

7.3k total citations · 1 hit paper
90 papers, 3.6k citations indexed

About

Richard Melrose is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Richard Melrose has authored 90 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Mathematical Physics, 41 papers in Applied Mathematics and 14 papers in Geometry and Topology. Recurrent topics in Richard Melrose's work include Spectral Theory in Mathematical Physics (26 papers), Advanced Operator Algebra Research (21 papers) and Numerical methods in inverse problems (13 papers). Richard Melrose is often cited by papers focused on Spectral Theory in Mathematical Physics (26 papers), Advanced Operator Algebra Research (21 papers) and Numerical methods in inverse problems (13 papers). Richard Melrose collaborates with scholars based in United States, Australia and France. Richard Melrose's co-authors include Rafe Mazzeo, Johannes Sjöstrand, Günther Uhlmann, Paolo Piazza, Victor Guillemin, Michael E. Taylor, Maciej Zworski, András Vasy, Gerardo A. Mendoza and Charles L. Epstein and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Communications on Pure and Applied Mathematics.

In The Last Decade

Richard Melrose

86 papers receiving 2.9k citations

Hit Papers

The Atiyah-Patodi-Singer Index Theorem 1993 2026 2004 2015 1993 100 200 300 400

Peers

Richard Melrose
Comparison fields: 5 of 62
  • Mathematical Physics 2.7k
  • Applied Mathematics 1.8k
  • Geometry and Topology 773
  • Computational Theory and Mathematics 692
  • Statistical and Nonlinear Physics 452
Replace François Trèves with:
François Trèves United States
Alan Weinstein United States
S. Sternberg United States
Karen Uhlenbeck United States
John N. Mather United States
Maciej Zworski United States
R. Seeley United States
Dietmar Salamon United States
Eduard Zehnder Switzerland
Christopher D. Sogge United States
François Trèves United States View profile →
Citations per field, relative to Richard Melrose
Richard Melrose · 1×
Citations per year, relative to Richard Melrose
Richard Melrose · 1×

Countries citing papers authored by Richard Melrose

Since Specialization
Citations

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

Fields of papers citing papers by Richard Melrose

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Richard Melrose

This figure shows the co-authorship network connecting the top 25 collaborators of Richard Melrose. A scholar is included among the top collaborators of Richard Melrose 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 Richard Melrose. Richard Melrose 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
# Work Indexed citations
1 0
2 1
3 2
4
Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces
1
5 29
6 34
7 18
8 1
9
Geometric scattering theory
255
10 47
11
Pseudodifferential operators, corners and singular limits : plenary address, International Congress of Mathematicians, Kyoto, Japan, August, 1990
4
12
Pseudodifferential operators, corners and singular limits
38
13 224
14 38
15
Behaviour at the boundary of the complex Monge-Ampère equation
1
16
Hypoelliptic operators with characteristic variety of codimension two and the wave equation
5
17 70
18 17
19 27
20
Propagation of singularities along gliding rays
1

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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