Brad Shelton

658 total citations
25 papers, 334 citations indexed

About

Brad Shelton is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Brad Shelton has authored 25 papers receiving a total of 334 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Geometry and Topology, 21 papers in Algebra and Number Theory and 15 papers in Mathematical Physics. Recurrent topics in Brad Shelton's work include Algebraic structures and combinatorial models (21 papers), Advanced Topics in Algebra (18 papers) and Advanced Algebra and Geometry (8 papers). Brad Shelton is often cited by papers focused on Algebraic structures and combinatorial models (21 papers), Advanced Topics in Algebra (18 papers) and Advanced Algebra and Geometry (8 papers). Brad Shelton collaborates with scholars based in United States. Brad Shelton's co-authors include Thomas J. Enright, Thomas Cassidy, Michaela Vancliff, Ronald S. Irving, David Collingwood, Sergey Yuzvinsky and Brian D. Boe and has published in prestigious journals such as Pacific Journal of Mathematics, Bulletin of the London Mathematical Society and Proceedings of the American Mathematical Society.

In The Last Decade

Brad Shelton

22 papers receiving 262 citations

Peers

Brad Shelton

GT

ANT

MP

DMC

SNP

L. Grünenfelder Canada

D. J. Britten Canada

Ronald S. Irving United States

Frank D. Grosshans United States

H�l�ne Esnault Germany

Tadeusz Józefiak Poland

Michel L. Racine Canada

James Kuzmanovich United States

Anders Thorup Denmark

Ryoshi Hotta Japan

L. Grünenfelder Canada

Brad Shelton

178 ×0.6

GT

195 ×0.9

ANT

88 ×0.5

MP

55 ×1.2

DMC

45 ×1.1

SNP

Citations per year, relative to Brad Shelton Brad Shelton (= 1×) peers L. Grünenfelder

Countries citing papers authored by Brad Shelton

Since Specialization

Citations

This map shows the geographic impact of Brad Shelton'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 Brad Shelton with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Brad Shelton more than expected).

Fields of papers citing papers by Brad Shelton

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Brad Shelton. 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 Brad Shelton. The network helps show where Brad Shelton may publish in the future.

Co-authorship network of co-authors of Brad Shelton

This figure shows the co-authorship network connecting the top 25 collaborators of Brad Shelton. A scholar is included among the top collaborators of Brad Shelton 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 Brad Shelton. Brad Shelton is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Shelton, Brad, et al.. (2012). K2 factors of Koszul algebras and applications to face rings. Journal of Algebra. 368. 251–270. 1 indexed citations

2.

Cassidy, Thomas & Brad Shelton. (2007). PBW-deformation theory and regular central extensions. Journal für die reine und angewandte Mathematik (Crelles Journal). 2007(610). 1–12. 12 indexed citations

3.

Cassidy, Thomas, et al.. (2005). Generalized Laurent polynomial rings as quantum projective 3-spaces. Journal of Algebra. 303(1). 358–372. 3 indexed citations

4.

Cassidy, Thomas & Brad Shelton. (2004). Basic properties of generalized down–up algebras. Journal of Algebra. 279(1). 402–421. 23 indexed citations

5.

Shelton, Brad, et al.. (2003). THE NONCOMMUTATIVE ALGEBRAIC GEOMETRY OF QUANTUM PROJECTIVE SPACES by. 2 indexed citations

6.

Shelton, Brad & Michaela Vancliff. (2002). SCHEMES OF LINE MODULES. II. Communications in Algebra. 30(5). 2535–2552. 8 indexed citations

7.

Shelton, Brad & Michaela Vancliff. (2002). Schemes of Line Modules I. Journal of the London Mathematical Society. 65(3). 575–590. 11 indexed citations

8.

Shelton, Brad, et al.. (2001). On Koszul Algebras and a New Construction of Artin–Schelter Regular Algebras. Journal of Algebra. 241(2). 789–798. 26 indexed citations

9.

Shelton, Brad & Michaela Vancliff. (1999). Embedding a quantum rank three quadric in a quantum P³. Communications in Algebra. 27(6). 2877–2904. 19 indexed citations

10.

Shelton, Brad & Michaela Vancliff. (1999). Some quantum P³s with one point. Communications in Algebra. 27(3). 1429–1443. 7 indexed citations

11.

Shelton, Brad & Sergey Yuzvinsky. (1997). Koszul Algebras from Graphs and Hyperplane Arrangements. Journal of the London Mathematical Society. 56(3). 477–490. 30 indexed citations

12.

Shelton, Brad. (1992). The Global Dimension of Rings of Differential Operators on Projective Spaces. Bulletin of the London Mathematical Society. 24(2). 148–158. 1 indexed citations

13.

Collingwood, David & Brad Shelton. (1990). A duality theorem for extensions of induced highest weight modules. Pacific Journal of Mathematics. 146(2). 227–237. 29 indexed citations

14.

Enright, Thomas J. & Brad Shelton. (1989). Highest weight modules for Hermitian symmetric pairs of exceptional type. Proceedings of the American Mathematical Society. 106(3). 807–819. 6 indexed citations

15.

Shelton, Brad, et al.. (1989). On matrix coefficients of the reflection representation. Proceedings of the American Mathematical Society. 105(1). 62–62. 1 indexed citations

16.

Shelton, Brad, et al.. (1989). On Matrix Coefficients of the Reflection Representation. Proceedings of the American Mathematical Society. 105(1). 62–62. 2 indexed citations

17.

Shelton, Brad. (1988). Extensions between generalized Verma modules: The Hermitian symmetric cases. Mathematische Zeitschrift. 197(3). 305–318. 6 indexed citations

18.

Irving, Ronald S. & Brad Shelton. (1988). Loewy series and simple projective modules in the category 𝒪_S. Pacific Journal of Mathematics. 132(2). 319–342. 28 indexed citations

19.

Irving, Ronald S. & Brad Shelton. (1988). Correction to: “Loewy series and simple projective modules in the category 𝒪_S”. Pacific Journal of Mathematics. 135(2). 395–396. 13 indexed citations

20.

Enright, Thomas J. & Brad Shelton. (1986). Decompositions in categories of highest weight modules. Journal of Algebra. 100(2). 380–402. 6 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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