Brian C. Hall

4.1k total citations · 2 hit papers
31 papers, 1.6k citations indexed

About

Brian C. Hall is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Brian C. Hall has authored 31 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Mathematical Physics, 12 papers in Applied Mathematics and 9 papers in Geometry and Topology. Recurrent topics in Brian C. Hall's work include Advanced Algebra and Geometry (13 papers), Mathematical Analysis and Transform Methods (8 papers) and Geometry and complex manifolds (7 papers). Brian C. Hall is often cited by papers focused on Advanced Algebra and Geometry (13 papers), Mathematical Analysis and Transform Methods (8 papers) and Geometry and complex manifolds (7 papers). Brian C. Hall collaborates with scholars based in United States, Canada and Taiwan. Brian C. Hall's co-authors include Bruce K. Driver, Ambar N. Sengupta, Sergio Albeverio, Gopal Gupta and Tomáš Vojnar and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Functional Analysis and Bulletin of the American Mathematical Society.

In The Last Decade

Brian C. Hall

28 papers receiving 1.5k citations

Hit Papers

Lie Groups, Lie Algebras, and Representations: An Element... 2004 2026 2011 2018 2004 2015 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
    2004 335 citations Brian C. Hall profile →
  2. Lie Groups, Lie Algebras, and Representations
    2015 331 citations Brian C. Hall Graduate texts in mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Brian C. Hall United States 15 495 404 361 311 300 31 1.6k
S. Twareque Ali Canada 16 286 0.6× 813 2.0× 482 1.3× 412 1.3× 137 0.5× 74 1.7k
Maurice A. de Gosson Austria 17 350 0.7× 540 1.3× 406 1.1× 165 0.5× 128 0.4× 105 1.2k
Ugo Boscain France 22 327 0.7× 915 2.3× 332 0.9× 642 2.1× 304 1.0× 97 2.0k
A. U. Klimyk Ukraine 17 692 1.4× 410 1.0× 793 2.2× 85 0.3× 995 3.3× 81 2.0k
Silvio Levy Brazil 12 404 0.8× 144 0.4× 494 1.4× 66 0.2× 516 1.7× 17 1.6k
S P Novikov United States 20 544 1.1× 446 1.1× 747 2.1× 190 0.6× 477 1.6× 88 1.6k
Andrzej Schinzel Poland 21 433 0.9× 231 0.6× 356 1.0× 398 1.3× 970 3.2× 170 2.3k
Loring W. Tu United States 11 843 1.7× 150 0.4× 351 1.0× 72 0.2× 964 3.2× 25 1.9k
N. I︠a︡. Vilenkin 5 378 0.8× 364 0.9× 363 1.0× 57 0.2× 227 0.8× 11 1.4k
Velimir Jurdjevic Canada 17 354 0.7× 334 0.8× 502 1.4× 285 0.9× 534 1.8× 37 2.6k

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-authorship network of co-authors of Brian C. Hall

This figure shows the co-authorship network connecting the top 25 collaborators of Brian C. Hall. A scholar is included among the top collaborators of Brian C. Hall based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Brian C. Hall. Brian C. Hall is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Hall, Brian C., et al.. (2025). The heat flow conjecture for polynomials and random matrices. Letters in Mathematical Physics. 115(3).
2.
Gupta, Gopal, et al.. (2024). Early Validation of High-Level System Requirements with Event Calculus and Answer Set Programming. Theory and Practice of Logic Programming. 24(4). 844–862.
3.
Hall, Brian C., et al.. (2022). The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element. Letters in Mathematical Physics. 112(2). 6 indexed citations
4.
Hall, Brian C., et al.. (2022). The Brown measure of a family of free multiplicative Brownian motions. Probability Theory and Related Fields. 186(3-4). 1081–1166. 2 indexed citations
5.
Driver, Bruce K., et al.. (2016). Three Proofs of the Makeenko–Migdal Equation for Yang–Mills Theory on the Plane. Communications in Mathematical Physics. 351(2). 741–774. 9 indexed citations
6.
Hall, Brian C., et al.. (2015). Complex structures adapted to magnetic flows. Journal of Geometry and Physics. 90. 111–131. 3 indexed citations
7.
Hall, Brian C.. (2015). Lie Groups, Lie Algebras, and Representations. Graduate texts in mathematics. 331 indexed citations breakdown →
8.
Driver, Bruce K., et al.. (2013). The large- N limit of the Segal–Bargmann transform onUN. Journal of Functional Analysis. 265(11). 2585–2644. 19 indexed citations
9.
Hall, Brian C.. (2013). Quantum Theory for Mathematicians. Graduate texts in mathematics. 229 indexed citations
10.
Hall, Brian C., et al.. (2012). Coherent states for a 2-sphere with a magnetic field. Journal of Physics A Mathematical and Theoretical. 45(24). 244025–244025.
11.
Hall, Brian C., et al.. (2010). Adapted complex structures and the geodesic flow. Mathematische Annalen. 350(2). 455–474. 14 indexed citations
12.
Hall, Brian C.. (2008). Berezin–Toeplitz quantization on Lie groups. Journal of Functional Analysis. 255(9). 2488–2506. 3 indexed citations
13.
Hall, Brian C., et al.. (2005). The Segal–Bargmann transform for noncompact symmetric spaces of the complex type. Journal of Functional Analysis. 227(2). 338–371. 12 indexed citations
14.
Hall, Brian C., et al.. (2004). Holomorphic Sobolev spaces and the generalized Segal–Bargmann transform. Journal of Functional Analysis. 217(1). 192–220. 20 indexed citations
15.
Hall, Brian C.. (2002). Geometric Quantization¶and the Generalized Segal--Bargmann Transform¶for Lie Groups of Compact Type. Communications in Mathematical Physics. 226(2). 233–268. 48 indexed citations
16.
Hall, Brian C.. (2001). Bounds on the Segal-Bargmann transform ofL p functions. Journal of Fourier Analysis and Applications. 7(6). 553–569. 9 indexed citations
17.
Hall, Brian C.. (1999). A New Form of the Segal-Bargmann Transform for Lie Groups of Compact Type. Canadian Journal of Mathematics. 51(4). 816–834. 14 indexed citations
18.
Hall, Brian C. & Ambar N. Sengupta. (1998). The Segal–Bargmann Transform for Path-Groups. Journal of Functional Analysis. 152(1). 220–254. 21 indexed citations
19.
Hall, Brian C.. (1997). The Inverse Segal–Bargmann Transform for Compact Lie Groups. Journal of Functional Analysis. 143(1). 98–116. 29 indexed citations
20.
Hall, Brian C.. (1994). The Segal-Bargmann "Coherent State" Transform for Compact Lie Groups. Journal of Functional Analysis. 122(1). 103–151. 165 indexed citations

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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