Science Explorer Interactive view Map

David Mumford

David Mumford publishes mostly in Geometry and Topology, Artificial Intelligence and Mathematical Physics, on topics such as History and Theory of Mathematics, Advanced Differential Equations and Dynamical Systems and Neural Networks and Applications.

World rank
#13,452
of 1,633,909 ranked researchers
Rank in United States
#6,472
of 358,040
Works
83
Citations
630
Citations per work
7.6

What does David Mumford research?

Geometry and Topology: 20.9%Artificial Intelligence: 8.1%Mathematical Physics: 7.0%Computer Vision and Pattern Recognition: 7.0%other fields: 57.0%21%top field
Geometry and Topology20.9%Artificial Intelligence8.1%Mathematical Physics7.0%Computer Vision and Pattern Recognition7.0%other fields57.0%

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

  1. 1Geometry and Topology21% of their works
  2. 2Artificial Intelligence8% of their works
  3. 3Mathematical Physics7% of their works
  4. 4Computer Vision and Pattern Recognition7% of their works
  5. 5Theoretical Computer Science6% of their works
  6. 6Applied Mathematics6% of their works

Research topics

Which keywords describe David Mumford's research?

The keywords of their largest research topics: Historical Sources, Mathematics Education, Tropical Geometry, Bifurcations, Planar Systems, Geometry, Gromov-Witten Theory and Hyperbolic.

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. Historical Sources51 topic
  2. Mathematics Education51 topic
  3. Tropical Geometry52 topics
  4. Bifurcations41 topic
  5. Planar Systems41 topic
  6. Geometry31 topic
  7. Gromov-Witten Theory31 topic
  8. Hyperbolic31 topic
  9. Moduli Theory31 topic
  10. Neural Networks31 topic
  11. Optimal Transport31 topic
  12. Ricci Curvature31 topic
  13. Self-Organizing Maps31 topic
  14. Connected Components21 topic
  15. Gröbner Bases21 topic
  16. Labeling21 topic
  17. Symbolic Computing21 topic

Where does David Mumford work?

David Mumford's main affiliation in the publication record is Brown University, United States.

How many publications and citations does David Mumford have?

Science Explorer counts 83 works and 630 citations for David Mumford, ranking #13,452 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.