Brian C. Hall

4.2k citations
32 papers · 1.7k · 2 hit papers · h-index 15

Impact in

Papers in

    • Advanced Algebra and Geometry 13
    • Stochastic processes and statistical mechanics 6
    • Mathematical Analysis and Transform Methods 8
    • Holomorphic and Operator Theory 4

Brian C. Hall

29 papers receiving 1.6k citations

Brian C. Hall's Hit Papers

Lie Groups, Lie Algebras, and Representations 2015 · 343 citations
3430+7+14Years since publication100200300

Peers

Brian C. Hall
Comparison fields: 5 of 97
  • Mathematical Physics 501
  • Geometry and Topology 303
  • Statistical and Nonlinear Physics 367
  • Applied Mathematics 296
  • Algebra and Number Theory 104
Replace Silvio Levy with:
Silvio Levy Brazil
N. I︠a︡. Vilenkin
Michael Spivak United States
Н. И. Ахиезер Russia
J. Gillis United States
N. Ja. Vilenkin Ukraine
F. Alberto Grünbaum United States
Theodor Bröcker Germany
William Moran Australia
Leonard Gross United States
Brian C. Hall relative to Silvio Levy Brazil Silvio Levy's profile →
Citations per field
00.5×9.5×
Silvio Levy · 1×
Citations per year

Countries citing papers authored by Brian C. Hall

Since Specialization
Citations

This map shows the geographic impact of Brian C. Hall's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Brian C. Hall with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Brian C. Hall more than expected).

Fields of papers citing papers by Brian C. Hall

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Brian C. Hall. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Brian C. Hall. The network helps show where Brian C. Hall may publish in the future.

Co-authors

The 4 scholars most cited alongside Brian C. Hall, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Brian C. Hall Line = papers co-authored together Brian C. Hall links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 32 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Lie Groups, Lie Algebras, and Representations
Hit paper breakdown →
2015343
2
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
Hit paper breakdown →
2004337
3 2013240
4 2003235
5 1994166
6 200248
7 199747
8 200033
9 199729
10 199821
11 200420
12 201319
13 199914
14 201014
15 199814
16 200712
17 200512
18 201610
19 20019
20 20226

About Brian C. Hall

Brian C. Hall is a scholar working on Mathematical Physics, Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics and Statistics and Probability, having authored 32 papers that have together received 1.7k indexed citations. Recurring topics across this work include Advanced Algebra and Geometry (13 papers), Geometry and complex manifolds (8 papers), Mathematical Analysis and Transform Methods (8 papers), Random Matrices and Applications (8 papers), Stochastic processes and statistical mechanics (6 papers), Noncommutative and Quantum Gravity Theories (5 papers), Holomorphic and Operator Theory (4 papers) and Advanced Differential Geometry Research (3 papers). The work is most often cited by research in Mathematical Physics (501 citations), Geometry and Topology (303 citations), Statistical and Nonlinear Physics (367 citations), Applied Mathematics (296 citations) and Algebra and Number Theory (104 citations). Brian C. Hall has collaborated with scholars based in United States, Taiwan and Germany. Frequent co-authors include Ambar N. Sengupta, Bruce K. Driver, Sergio Albeverio and Zakhar Kabluchko. Their work appears in journals such as Journal of Functional Analysis, Communications in Mathematical Physics, Letters in Mathematical Physics, Probability Theory and Related Fields and Infinite Dimensional Analysis Quantum Probability and Related Topics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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