Science Explorer Back to mapMap
Discussion
Researcher · University of Michigan · United States

Hugh L. Montgomery

Hugh L. Montgomery publishes mostly in Algebra and Number Theory, Geometry and Topology and Applied Mathematics, on topics such as Analytic Number Theory Research, Mathematics and Applications and History and Theory of Mathematics.

ORCID 0000-0003-0557-7151 OpenAlex
World rank
#641,075
of 7,710,434 ranked researchers
Rank in United States
#218,607
of 1,627,098
Works
181
Citations
5.7k
Citations per work
31.7
h-index
32
i10-index 54Top 1.4% in Algebra and Number Theory
Hugh L. Montgomery

What does Hugh L. Montgomery research?

Hugh L. Montgomery's work is mostly in Mathematics (73%).

Physical Sciences: 131 works · 72.6% of their workMathematics: 131 works · 72.6% of their workAlgebra and Number Theory: 46 works · 25.5% of their workApplied Mathematics: 22 works · 12.1% of their workGeometry and Topology: 22 works · 12.1% of their workMathematical Physics: 20 works · 10.8% of their workTheoretical Computer Science: 13 works · 7.1% of their workDiscrete Mathematics and Combinatorics: 9 works · 5.0% of their workEverything else: 50 works · 27.4% of their workTHEIR WORKHugh L.Montgomery181works
Physical Sciences73%

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. Mathematics13172.6%
  2. Everything else5027.4%
  1. 1Algebra and Number Theory26% of their works
  2. 2Geometry and Topology12% of their works
  3. 3Applied Mathematics12% of their works
  4. 4Mathematical Physics11% of their works
  5. 5Theoretical Computer Science7% of their works
  6. 6Discrete Mathematics and Combinatorics5% of their works

Research topics

Which keywords describe Hugh L. Montgomery's research?

The keywords of their largest research topics: Number Theory, Modular Forms, Random Matrix Theory, L-Functions, Primes, Geometry, Historical Sources 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. 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 21 words, with their numbers
  1. Number Theory1093 topics
  2. Modular Forms972 topics
  3. Random Matrix Theory822 topics
  4. L-Functions711 topic
  5. Primes711 topic
  6. Geometry271 topic
  7. Historical Sources271 topic
  8. Hyperbolic271 topic
  9. Mathematics Education271 topic
  10. Multiple Zeta Values261 topic
  11. q-Series261 topic
  12. Mathematical Physics212 topics
  13. Nonlinear Equations212 topics
  14. Difference Equations171 topic
  15. Meromorphic Functions171 topic
  16. Neutrosophy121 topic
  17. Smarandache Function121 topic
  18. Orthogonal Polynomials111 topic
  19. Quadrature Methods111 topic
  20. p-adic91 topic
  21. ultrametric91 topic

Where does Hugh L. Montgomery work?

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

How many publications and citations does Hugh L. Montgomery have?

OpenAlex counts 181 works and 5,741 citations for Hugh L. Montgomery, an h-index of 32, ranking #641,075 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 Hugh L. Montgomery. 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.