Science Explorer Back to mapMap
Discussion
Researcher · Institute for Advanced Study · United States

Armand Borel

Armand Borel publishes mostly in Mathematical Physics, Geometry and Topology and Algebra and Number Theory, on topics such as Advanced Algebra and Geometry, Homotopy and Cohomology in Algebraic Topology and Advanced Topics in Algebra.

OpenAlex
World rank
#36,078
of 7,710,434 ranked researchers
Rank in United States
#13,784
of 1,627,098
Works
271
Citations
19k
Citations per work
70.4
h-index
58
i10-index 103Top 0.2% in Mathematical Physics
Armand Borel

What does Armand Borel research?

Armand Borel's work is mostly in Mathematics (78%).

Physical Sciences: 211 works · 77.7% of their workMathematics: 211 works · 77.7% of their workMathematical Physics: 83 works · 30.7% of their workGeometry and Topology: 52 works · 19.3% of their workAlgebra and Number Theory: 36 works · 13.1% of their workDiscrete Mathematics and Combinatorics: 16 works · 5.9% of their workApplied Mathematics: 14 works · 5.0% of their workTheoretical Computer Science: 10 works · 3.7% of their workEverything else: 60 works · 22.3% of their workTHEIR WORKArmand Borel271works
Physical Sciences78%

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. Mathematics21177.7%
  2. Everything else6022.3%
  1. 1Mathematical Physics31% of their works
  2. 2Geometry and Topology19% of their works
  3. 3Algebra and Number Theory13% of their works
  4. 4Discrete Mathematics and Combinatorics6% of their works
  5. 5Applied Mathematics5% of their works
  6. 6Theoretical Computer Science4% of their works

Research topics

Which keywords describe Armand Borel's research?

The keywords of their largest research topics: Cohomology, Representation Theory, Symplectic Geometry, Automorphic Forms, Langlands Conjectures, Deformation Quantization, Poisson Manifolds 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. The words come from the keyword list OpenAlex gives each topic, not from the text of the papers, so a word can appear that none of the papers uses.

All 19 words, with their numbers
  1. Cohomology1532 topics
  2. Representation Theory1342 topics
  3. Symplectic Geometry1012 topics
  4. Automorphic Forms981 topic
  5. Langlands Conjectures981 topic
  6. Deformation Quantization601 topic
  7. Poisson Manifolds601 topic
  8. Deformations551 topic
  9. Hom-Lie Algebras551 topic
  10. Gromov-Witten Theory411 topic
  11. Moduli Theory411 topic
  12. Finite Groups361 topic
  13. Graphs361 topic
  14. Historical Sources241 topic
  15. Mathematics Education241 topic
  16. Knot Invariants191 topic
  17. Symplectic Topology191 topic
  18. Geometry141 topic
  19. Hyperbolic141 topic

Where does Armand Borel work?

Armand Borel's main affiliation in the publication record is Institute for Advanced Study, United States.

How many publications and citations does Armand Borel have?

OpenAlex counts 271 works and 19,081 citations for Armand Borel, an h-index of 58, ranking #36,078 of 7,710,434 researchers worldwide on the quality score.

Ranked on field-normalised citation 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.

Discussion

Ask a question or share a note about Armand Borel. Keep it to the research: no personal attacks, advertising or links. Any reader can report a post, which collapses it for everyone until it is opened.