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Igor Nikolaev

Igor Nikolaev publishes mostly in Mathematical Physics, Geometry and Topology and Algebra and Number Theory, on topics such as Advanced Algebra and Geometry, Advanced Operator Algebra Research and Advanced Topics in Algebra.

World rank
#1,467,850
of 1,633,909 ranked researchers
Rank in Canada
#36,636
of 38,960
Works
42
Citations
4
Citations per work
0.1

What does Igor Nikolaev research?

Mathematical Physics: 32.8%Geometry and Topology: 29.3%Algebra and Number Theory: 12.1%Computational Theory and Mathematics: 6.9%other fields: 18.9%33%top field
Mathematical Physics32.8%Geometry and Topology29.3%Algebra and Number Theory12.1%Computational Theory and Mathematics6.9%other fields18.9%

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

  1. 1Mathematical Physics33% of their works
  2. 2Geometry and Topology29% of their works
  3. 3Algebra and Number Theory12% of their works
  4. 4Computational Theory and Mathematics7% of their works
  5. 5Physical and Theoretical Chemistry3% of their works
  6. 6Biomedical Engineering3% of their works

Research topics

Which keywords describe Igor Nikolaev's research?

The keywords of their largest research topics: Cohomology, Quantum Groups, K-Theory, Symplectic Geometry, Automorphic Forms, Langlands Conjectures, C*-Algebras and Noncommutative Geometry.

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 20 words, with their numbers
  1. Cohomology142 topics
  2. Quantum Groups122 topics
  3. K-Theory102 topics
  4. Symplectic Geometry92 topics
  5. Automorphic Forms81 topic
  6. Langlands Conjectures81 topic
  7. C*-Algebras71 topic
  8. Noncommutative Geometry71 topic
  9. Deformations61 topic
  10. Gromov-Witten Theory61 topic
  11. Hom-Lie Algebras61 topic
  12. Moduli Theory61 topic
  13. Cluster Algebras51 topic
  14. Triangulated Categories51 topic
  15. Deformation Quantization31 topic
  16. Knot Invariants31 topic
  17. Poisson Manifolds31 topic
  18. Symplectic Topology31 topic
  19. Geometry21 topic
  20. Hyperbolic21 topic

Where does Igor Nikolaev work?

Igor Nikolaev's main affiliation in the publication record is Fields Institute for Research in Mathematical Sciences, Canada.

How many publications and citations does Igor Nikolaev have?

Science Explorer counts 42 works and 4 citations for Igor Nikolaev, ranking #1,467,850 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.