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Paul R. Halmos

Paul R. Halmos publishes mostly in Computational Theory and Mathematics, Mathematical Physics and Geometry and Topology, on topics such as Advanced Algebra and Logic, Advanced Topology and Set Theory and Matrix Theory and Algorithms.

World rank
#84,301
of 1,633,909 ranked researchers
Rank in United States
#37,420
of 358,040
Works
135
Citations
382
Citations per work
2.8

What does Paul R. Halmos research?

Computational Theory and Mathematics: 18.2%Mathematical Physics: 14.0%Geometry and Topology: 10.7%Algebra and Number Theory: 10.7%other fields: 46.4%18%top field
Computational Theory and Mathematics18.2%Mathematical Physics14.0%Geometry and Topology10.7%Algebra and Number Theory10.7%other fields46.4%

Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.

  1. 1Computational Theory and Mathematics18% of their works
  2. 2Mathematical Physics14% of their works
  3. 3Geometry and Topology11% of their works
  4. 4Algebra and Number Theory11% of their works
  5. 5Applied Mathematics9% of their works
  6. 6Artificial Intelligence7% of their works

Research topics

Which keywords describe Paul R. Halmos's research?

The keywords of their largest research topics: Holomorphic Functions, Fuzzy Logic, Residuated Lattices, Model Theory, Topological Dynamics, Composition Operators, Deformations and Hom-Lie Algebras.

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. Holomorphic Functions132 topics
  2. Fuzzy Logic111 topic
  3. Residuated Lattices111 topic
  4. Model Theory101 topic
  5. Topological Dynamics101 topic
  6. Composition Operators71 topic
  7. Deformations71 topic
  8. Hom-Lie Algebras71 topic
  9. Matrix Computations71 topic
  10. Numerical Linear Algebra71 topic
  11. Weighted Spaces71 topic
  12. Banach Spaces61 topic
  13. Operators61 topic
  14. Armendariz Rings51 topic
  15. Formal Verification51 topic
  16. Static Analysis51 topic
  17. Zero-Divisor Graphs51 topic

Where does Paul R. Halmos work?

Paul R. Halmos's main affiliation in the publication record is Santa Clara University, United States.

How many publications and citations does Paul R. Halmos have?

Science Explorer counts 135 works and 382 citations for Paul R. Halmos, ranking #84,301 of 1,633,909 researchers worldwide on the composite 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 are in the interactive view on the map. Is this your page? Request a correction or removal.