Paul Terwilliger

5.6k total citations
132 papers, 3.0k citations indexed

About

Paul Terwilliger is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Paul Terwilliger has authored 132 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 100 papers in Discrete Mathematics and Combinatorics, 80 papers in Geometry and Topology and 66 papers in Algebra and Number Theory. Recurrent topics in Paul Terwilliger's work include Finite Group Theory Research (84 papers), Advanced Topics in Algebra (62 papers) and Algebraic structures and combinatorial models (61 papers). Paul Terwilliger is often cited by papers focused on Finite Group Theory Research (84 papers), Advanced Topics in Algebra (62 papers) and Algebraic structures and combinatorial models (61 papers). Paul Terwilliger collaborates with scholars based in United States, Japan and Slovenia. Paul Terwilliger's co-authors include Tatsuro Ito, Kazumasa Nomura, Raimundas Vidūnas, Chih-wen Weng, Georgia Benkart, K. TANABE, Jack H. Koolen, John S. Caughman, Michel Deza and Hjalmar Rosengren and has published in prestigious journals such as Nuclear Physics B, Journal of Computational and Applied Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Paul Terwilliger

121 papers receiving 2.9k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Paul Terwilliger United States	30	2.3k	1.6k	1.5k	1.0k	800	132	3.0k
Richard Brauer United States	25	1.5k 0.7×	769 0.5×	433 0.3×	761 0.7×	648 0.8×	63	2.1k
Robert L. Griess United States	19	673 0.3×	738 0.5×	425 0.3×	258 0.3×	319 0.4×	66	1.2k
Leonard L. Scott United States	22	747 0.3×	1.7k 1.0×	1.1k 0.7×	119 0.1×	203 0.3×	71	2.0k
Dragomir Ž. Djoković Canada	17	472 0.2×	507 0.3×	346 0.2×	344 0.3×	246 0.3×	105	1.3k
Walter Feit United States	22	1.6k 0.7×	741 0.5×	352 0.2×	794 0.8×	857 1.1×	78	2.1k
L. N. Vaserstein United States	21	644 0.3×	768 0.5×	807 0.6×	98 0.1×	150 0.2×	77	1.5k
Richard Ehrenborg United States	16	593 0.3×	420 0.3×	369 0.3×	60 0.1×	106 0.1×	84	909
David Singerman United Kingdom	18	585 0.3×	973 0.6×	173 0.1×	92 0.1×	93 0.1×	51	1.3k
Rimhak Ree Canada	15	502 0.2×	386 0.2×	292 0.2×	186 0.2×	253 0.3×	32	898
Karin Erdmann United Kingdom	21	419 0.2×	1.4k 0.9×	1.2k 0.8×	35 0.0×	83 0.1×	111	1.6k

Countries citing papers authored by Paul Terwilliger

Since Specialization

Citations

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

Fields of papers citing papers by Paul Terwilliger

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Terwilliger

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Terwilliger. A scholar is included among the top collaborators of Paul Terwilliger 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 Paul Terwilliger. Paul Terwilliger 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

Nomura, Kazumasa & Paul Terwilliger. (2024). Spin models and distance-regular graphs of q-Racah type. European Journal of Combinatorics. 124. 104069–104069.

Terwilliger, Paul. (2024). Projective geometries, Q-polynomial structures, and quantum groups. Discrete Mathematics. 348(2). 114321–114321. 1 indexed citations

Terwilliger, Paul. (2023). The compact presentation for the alternating central extension of the q-Onsager algebra. Journal of Pure and Applied Algebra. 227(11). 107408–107408. 1 indexed citations

Terwilliger, Paul. (2018). A poset Φ whose maximal chains are in bijection with the n × n alternating sign matrices. Linear Algebra and its Applications. 554. 79–85.

Ito, Tatsuro, Hjalmar Rosengren, & Paul Terwilliger. (2014). Evaluation modules for the q -tetrahedron algebra. Linear Algebra and its Applications. 451. 107–168. 15 indexed citations

Terwilliger, Paul. (2013). Finite-dimensional irreducibleUq(sl2)-modules from the equitable point of view. Linear Algebra and its Applications. 439(2). 358–400. 11 indexed citations

Ito, Tatsuro & Paul Terwilliger. (2011). Mock tridiagonal systems. Linear Algebra and its Applications. 435(8). 1997–2006. 3 indexed citations

Nomura, Kazumasa & Paul Terwilliger. (2010). Tridiagonal pairs of q-Racah type and the μ-conjecture. Linear Algebra and its Applications. 432(12). 3201–3209. 4 indexed citations

Terwilliger, Paul, et al.. (2009). Distance-regular graphs with light tails. European Journal of Combinatorics. 31(6). 1539–1552. 3 indexed citations

10.

Nomura, Kazumasa & Paul Terwilliger. (2006). Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair. Linear Algebra and its Applications. 420(1). 198–207. 38 indexed citations

11.

Terwilliger, Paul, et al.. (2006). The Tetrahedron algebra, the Onsager algebra, and the sl2 loop algebra. Journal of Algebra. 308(2). 840–863. 40 indexed citations

12.

Nomura, Kazumasa & Paul Terwilliger. (2005). Some trace formulae involving the split sequences of a Leonard pair. Linear Algebra and its Applications. 413(1). 189–201. 21 indexed citations

13.

Ito, Tatsuro, Paul Terwilliger, & Chih-wen Weng. (2005). The quantum algebra Uq(sl2) and its equitable presentation. Journal of Algebra. 298(1). 284–301. 49 indexed citations

14.

Ito, Tatsuro, et al.. (2004). Some algebra related to P-and Q-polynomial association schemes. 95 indexed citations

15.

Terwilliger, Paul. (2003). Introduction to Leonard pairs. Journal of Computational and Applied Mathematics. 153(1-2). 463–475. 70 indexed citations

16.

Terwilliger, Paul. (1999). An introduction to Leonard pairs and Leonard systems (Algebraic Combinatorics). Kyoto University Research Information Repository (Kyoto University). 1109. 67–79. 12 indexed citations

17.

Ding, Kequan & Paul Terwilliger. (1996). On Garsia-Remmel problem of rook equivalence. Discrete Mathematics. 149(1-3). 59–68. 3 indexed citations

18.

Terwilliger, Paul, et al.. (1996). Dual Bipartite Q-polynomial Distance-regular Graphs. European Journal of Combinatorics. 17(7). 613–623. 9 indexed citations

19.

Terwilliger, Paul. (1986). A new feasibility condition for distance-regular graphs. Discrete Mathematics. 61(2-3). 311–315. 24 indexed citations

20.

Terwilliger, Paul. (1983). Distance-regular graphs and (s, c, a, k)-graphs. Journal of Combinatorial Theory Series B. 34(2). 151–164. 20 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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