Joseph C. Várilly

2.6k total citations · 1 hit paper
37 papers, 1.3k citations indexed

About

Joseph C. Várilly is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Joseph C. Várilly has authored 37 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Mathematical Physics, 16 papers in Geometry and Topology and 15 papers in Algebra and Number Theory. Recurrent topics in Joseph C. Várilly's work include Advanced Topics in Algebra (15 papers), Advanced Operator Algebra Research (14 papers) and Algebraic structures and combinatorial models (13 papers). Joseph C. Várilly is often cited by papers focused on Advanced Topics in Algebra (15 papers), Advanced Operator Algebra Research (14 papers) and Algebraic structures and combinatorial models (13 papers). Joseph C. Várilly collaborates with scholars based in Costa Rica, Spain and United States. Joseph C. Várilly's co-authors include José M. Gracia-Bondı́a, Héctor Figueroa, Ricardo Estrada, José F. Cariñena, Adam Rennie, Andrzej Sitarz, Giovanni Landi, Ludwik Dąbrowski, Steven Lord and L. M. Nieto and has published in prestigious journals such as Nuclear Physics B, Physics Letters B and Physical Review A.

In The Last Decade

Joseph C. Várilly

36 papers receiving 1.2k citations

Hit Papers

Elements of Noncommutative Geometry 2001 2026 2009 2017 2001 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. Elements of Noncommutative Geometry
    2001 393 citations José M. Gracia-Bondı́a, Joseph C. Várilly et al. Birkhäuser Boston eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Joseph C. Várilly Costa Rica 16 656 647 370 359 330 37 1.3k
José M. Gracia-Bondı́a Spain 19 741 1.1× 554 0.9× 512 1.4× 380 1.1× 359 1.1× 48 1.4k
H. J. Borchers Germany 21 449 0.7× 582 0.9× 360 1.0× 300 0.8× 396 1.2× 60 1.2k
Detlev Buchholz Germany 23 643 1.0× 741 1.1× 619 1.7× 284 0.8× 815 2.5× 83 1.7k
S. N. M. Ruijsenaars Netherlands 22 1.3k 2.0× 510 0.8× 419 1.1× 395 1.1× 689 2.1× 79 2.1k
J. Harnad Canada 26 1.0k 1.5× 362 0.6× 517 1.4× 225 0.6× 171 0.5× 83 1.6k
Daniel Sternheimer France 18 755 1.2× 1.0k 1.6× 511 1.4× 995 2.8× 318 1.0× 41 1.9k
F. Bayen France 9 573 0.9× 804 1.2× 359 1.0× 787 2.2× 245 0.7× 11 1.4k
A. A. Kirillov Russia 13 499 0.8× 916 1.4× 289 0.8× 508 1.4× 159 0.5× 47 1.7k
L. A. Takhtadzhyan Slovakia 13 947 1.4× 294 0.5× 360 1.0× 255 0.7× 376 1.1× 29 1.5k
Dirk Kreimer Germany 23 469 0.7× 536 0.8× 832 2.2× 1.0k 2.9× 222 0.7× 77 2.1k

Countries citing papers authored by Joseph C. Várilly

Since Specialization
Citations

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

Fields of papers citing papers by Joseph C. Várilly

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Joseph C. Várilly. 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 Joseph C. Várilly. The network helps show where Joseph C. Várilly may publish in the future.

Co-authorship network of co-authors of Joseph C. Várilly

This figure shows the co-authorship network connecting the top 25 collaborators of Joseph C. Várilly. A scholar is included among the top collaborators of Joseph C. Várilly 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 Joseph C. Várilly. Joseph C. Várilly 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.
Gracia-Bondı́a, José M., Karl-Henning Rehren, & Joseph C. Várilly. (2025). The Full Electroweak Interaction: An Autonomous Account. Annales Henri Poincaré. 26(12). 4529–4574. 1 indexed citations
2.
Figueroa, Héctor, Joseph C. Várilly, & José M. Gracia-Bondı́a. (2022). Faà di Bruno Hopf algebras. Investigative News in Education (Universidad de Costa Rica). 56(1). 1–12.
3.
Gracia-Bondı́a, José M., Fedele Lizzi, Joseph C. Várilly, & Patrizia Vitale. (2018). The Kirillov picture for the Wigner particle. Journal of Physics A Mathematical and Theoretical. 51(25). 255203–255203. 3 indexed citations
4.
Mund, Jens, et al.. (2017). String Chopping and Time-ordered Products of Linear String-localized Quantum Fields. Mathematical Physics Analysis and Geometry. 21(1). 6 indexed citations
5.
Várilly, Joseph C. & José M. Gracia-Bondı́a. (2016). Stora's fine notion of divergent amplitudes. Nuclear Physics B. 912. 28–37. 5 indexed citations
6.
Lord, Steven, Adam Rennie, & Joseph C. Várilly. (2012). Riemannian manifolds in noncommutative geometry. Journal of Geometry and Physics. 62(7). 1611–1638. 22 indexed citations
7.
Rennie, Adam & Joseph C. Várilly. (2008). ORBIFOLDS ARE NOT COMMUTATIVE GEOMETRIES. Journal of the Australian Mathematical Society. 84(1). 109–116. 5 indexed citations
8.
Iochum, Bruno, et al.. (2006). Dixmier traces on noncompact isospectral deformations. Journal of Functional Analysis. 237(2). 507–539. 10 indexed citations
9.
Várilly, Joseph C.. (2006). Dirac Operators and Spectral Geometry. 2 indexed citations
10.
Dąbrowski, Ludwik, et al.. (2005). The Dirac Operator on SUq(2). Communications in Mathematical Physics. 259(3). 729–759. 46 indexed citations
11.
Ebrahimi‐Fard, Kurusch, José M. Gracia-Bondı́a, Li Guo, & Joseph C. Várilly. (2005). Combinatorics of renormalization as matrix calculus. Physics Letters B. 632(4). 552–558. 10 indexed citations
12.
Várilly, Joseph C.. (2001). Quantum Symmetry Groups of Noncommutative Spheres. Communications in Mathematical Physics. 221(3). 511–523. 22 indexed citations
13.
Gracia-Bondı́a, José M., Joseph C. Várilly, & Héctor Figueroa. (2001). Elements of Noncommutative Geometry. Birkhäuser Boston eBooks. 393 indexed citations breakdown →
14.
Várilly, Joseph C. & José M. Gracia-Bondı́a. (1992). S-matrix from the metaplectic representation. Investigative News in Education (Universidad de Costa Rica). 3 indexed citations
15.
Cariñena, José F., José M. Gracia-Bondı́a, Alberto Ibort, Carlos Monge López, & Joseph C. Várilly. (1991). Distinguished Hamiltonian theorem for homogeneous symplectic manifolds. Letters in Mathematical Physics. 23(1). 35–44. 2 indexed citations
16.
Figueroa, Héctor, José M. Gracia-Bondı́a, & Joseph C. Várilly. (1990). Moyal quantization with compact symmetry groups and noncommutative harmonic analysis. Journal of Mathematical Physics. 31(11). 2664–2671. 26 indexed citations
17.
Gadella, M., José M. Gracia-Bondı́a, L. M. Nieto, & Joseph C. Várilly. (1989). Quadratic Hamiltonians in phase-space quantum mechanics. Journal of Physics A Mathematical and General. 22(14). 2709–2738. 21 indexed citations
18.
Gracia-Bondı́a, José M. & Joseph C. Várilly. (1988). Algebras of distributions suitable for phase-space quantum mechanics. I. Journal of Mathematical Physics. 29(4). 869–879. 104 indexed citations
19.
Várilly, Joseph C., et al.. (1988). Nonnegative mixed states in Weyl-Wigner-Moyal theory. Physics Letters A. 128(1-2). 20–24. 18 indexed citations
20.
Várilly, Joseph C. & José M. Gracia-Bondı́a. (1987). The Wigner transformation is of finite order. Journal of Mathematical Physics. 28(10). 2390–2392. 7 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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