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Researcher · University of Michigan · United States

Allen L. Shields

Allen L. Shields publishes mostly in Applied Mathematics, Mathematical Physics and Geometry and Topology, on topics such as Holomorphic and Operator Theory, Algebraic and Geometric Analysis and Advanced Topics in Algebra.

OpenAlex
World rank
#1,218,787
of 7,710,434 ranked researchers
Rank in United States
#390,353
of 1,627,098
Works
67
Citations
2.5k
Citations per work
37.9
h-index
22
i10-index 33Top 9% in Applied Mathematics
Allen L. Shields

What does Allen L. Shields research?

Allen L. Shields's work is mostly in Mathematics (78%), Computer Science (9%).

Physical Sciences: 58 works · 86.9% of their workMathematics: 52 works · 78.0% of their workApplied Mathematics: 21 works · 30.8% of their workMathematical Physics: 15 works · 21.9% of their workGeometry and Topology: 8 works · 11.6% of their workAlgebra and Number Theory: 5 works · 8.2% of their workStatistics and Probability: 4 works · 5.5% of their workComputer Science: 6 works · 8.9% of their workComputational Theory and Mathematics: 6 works · 8.9% of their workEverything else: 9 works · 13.1% of their workTHEIR WORKAllen L. Shields67works
Physical Sciences87%

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. Mathematics5278.0%
    2. Computer Science68.9%
  2. Everything else913.1%
  1. 1Applied Mathematics31% of their works
  2. 2Mathematical Physics22% of their works
  3. 3Geometry and Topology12% of their works
  4. 4Computational Theory and Mathematics9% of their works
  5. 5Algebra and Number Theory8% of their works
  6. 6Statistics and Probability6% of their works

Research topics

Which keywords describe Allen L. Shields's research?

The keywords of their largest research topics: Holomorphic Functions, Composition Operators, Functional Analysis, Weighted Spaces, Geometric Algebra, Quaternionic Analysis, Approximation Theorems and Deformations.

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 18 words, with their numbers
  1. Holomorphic Functions222 topics
  2. Composition Operators151 topic
  3. Functional Analysis152 topics
  4. Weighted Spaces151 topic
  5. Geometric Algebra101 topic
  6. Quaternionic Analysis101 topic
  7. Approximation Theorems81 topic
  8. Deformations81 topic
  9. Hom-Lie Algebras81 topic
  10. Mathematical Physics81 topic
  11. Statistical Convergence81 topic
  12. p-adic81 topic
  13. Banach Spaces71 topic
  14. Bifurcations71 topic
  15. Operators71 topic
  16. Planar Systems71 topic
  17. Difference Equations61 topic
  18. Meromorphic Functions61 topic

Where does Allen L. Shields work?

Allen L. Shields's main affiliation in the publication record is University of Michigan, United States.

How many publications and citations does Allen L. Shields have?

OpenAlex counts 67 works and 2,542 citations for Allen L. Shields, an h-index of 22, ranking #1,218,787 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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