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Researcher · Massachusetts Institute of Technology · United States

Richard Melrose

Richard Melrose publishes mostly in Mathematical Physics, Applied Mathematics and Geometry and Topology, on topics such as Spectral Theory in Mathematical Physics, Advanced Operator Algebra Research and Advanced Topics in Algebra.

ORCID 0000-0002-1494-8228 OpenAlex
World rank
#121,632
of 7,710,434 ranked researchers
Rank in United States
#46,313
of 1,627,098
Works
152
Citations
7.6k
Citations per work
49.8
h-index
43
i10-index 82Top 0.9% in Mathematical Physics
Richard Melrose

What does Richard Melrose research?

Richard Melrose's work is mostly in Mathematics (76%), Computer Science (5%), Physics and Astronomy (3%).

Physical Sciences: 128 works · 84.2% of their workMathematics: 116 works · 76.3% of their workMathematical Physics: 61 works · 40.2% of their workApplied Mathematics: 29 works · 18.8% of their workGeometry and Topology: 17 works · 10.9% of their workAlgebra and Number Theory: 10 works · 6.4% of their workComputer Science: 7 works · 4.9% of their workComputational Theory and Mathematics: 7 works · 4.9% of their workPhysics and Astronomy: 5 works · 3.0% of their workStatistical and Nonlinear Physics: 5 works · 3.0% of their workEverything else: 24 works · 15.8% of their workTHEIR WORKRichard Melrose152works
Physical Sciences84%

Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.

The fields and subfields, with their numbers
    1. Mathematics11676.3%
    2. Computer Science74.9%
    3. Physics and Astronomy53.0%
  2. Everything else2415.8%
  1. 1Mathematical Physics40% of their works
  2. 2Applied Mathematics19% of their works
  3. 3Geometry and Topology11% of their works
  4. 4Algebra and Number Theory6% of their works
  5. 5Computational Theory and Mathematics5% of their works
  6. 6Statistical and Nonlinear Physics3% of their works

Research topics

Which keywords describe Richard Melrose's research?

The keywords of their largest research topics: K-Theory, Differential Operators, Spectral Theory, C*-Algebras, Quantum Groups, Deformations, Hom-Lie Algebras and Composition Operators.

Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.

All 17 words, with their numbers
  1. K-Theory612 topics
  2. Differential Operators441 topic
  3. Spectral Theory441 topic
  4. C*-Algebras421 topic
  5. Quantum Groups421 topic
  6. Deformations251 topic
  7. Hom-Lie Algebras251 topic
  8. Composition Operators201 topic
  9. Weighted Spaces201 topic
  10. Deformation Quantization191 topic
  11. Poisson Manifolds191 topic
  12. Optimal Transport181 topic
  13. Ricci Curvature181 topic
  14. Global Well-Posedness171 topic
  15. Nonlinear Schrödinger Equation171 topic
  16. Inverse Problems161 topic
  17. Regularization Methods161 topic

Where does Richard Melrose work?

Richard Melrose's main affiliation in the publication record is Massachusetts Institute of Technology, United States.

How many publications and citations does Richard Melrose have?

OpenAlex counts 152 works and 7,572 citations for Richard Melrose, an h-index of 43, ranking #121,632 of 7,710,434 researchers worldwide on the quality score.

Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.

Papers, co-authors, who cited this work and researchers on the nearest topics have tabs of their own, above. Is this your page? Claim it with your ORCID iD, or request a correction or removal.

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