Juan Tirao

1.1k total citations
42 papers, 484 citations indexed

About

Juan Tirao is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Juan Tirao has authored 42 papers receiving a total of 484 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 20 papers in Geometry and Topology and 18 papers in Algebra and Number Theory. Recurrent topics in Juan Tirao's work include Advanced Algebra and Geometry (22 papers), Advanced Topics in Algebra (17 papers) and Algebraic structures and combinatorial models (11 papers). Juan Tirao is often cited by papers focused on Advanced Algebra and Geometry (22 papers), Advanced Topics in Algebra (17 papers) and Algebraic structures and combinatorial models (11 papers). Juan Tirao collaborates with scholars based in Argentina, United States and France. Juan Tirao's co-authors include Inés Pacharoni, F. Alberto Grünbaum, Joseph A. Wolf, Pablo Román, Bertram Kostant, Nolan R. Wallach, David A. Vogan, Víctor Ayala, Nicolás Andruskiewitsch and Vyacheslav Futorny and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Juan Tirao

37 papers receiving 438 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Juan Tirao Argentina	10	293	213	196	156	144	42	484
Franciszek Hugon Szafraniec Poland	13	430 1.5×	209 1.0×	357 1.8×	104 0.7×	88 0.6×	74	641
Natália Bebiano Portugal	12	211 0.7×	354 1.7×	149 0.8×	114 0.7×	85 0.6×	100	507
Inés Pacharoni Argentina	10	250 0.9×	185 0.9×	122 0.6×	121 0.8×	85 0.6×	24	363
В. Н. Сорокин Russia	13	503 1.7×	136 0.6×	99 0.5×	219 1.4×	164 1.1×	61	741
Luc Haine Belgium	15	195 0.7×	91 0.4×	117 0.6×	314 2.0×	99 0.7×	25	512
Leonid Golinskiĭ Ukraine	11	277 0.9×	173 0.8×	215 1.1×	49 0.3×	34 0.2×	48	395
Shun Shimomura Japan	11	212 0.7×	71 0.3×	83 0.4×	441 2.8×	108 0.8×	51	674
H.T. Koelink Netherlands	11	199 0.7×	52 0.2×	100 0.5×	109 0.7×	175 1.2×	22	376
Amílcar Branquinho Portugal	11	452 1.5×	166 0.8×	31 0.2×	222 1.4×	74 0.5×	58	556
Emil Horozov Bulgaria	13	135 0.5×	60 0.3×	103 0.5×	382 2.4×	73 0.5×	33	566

Countries citing papers authored by Juan Tirao

Since Specialization

Citations

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

Fields of papers citing papers by Juan Tirao

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Juan Tirao

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

Tirao, Juan. (2014). Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere. Symmetry Integrability and Geometry Methods and Applications. 8 indexed citations

Tirao, Juan, et al.. (2013). Spherical Functions of Fundamental $K$-Type on the $n$-dimensional Sphere. arXiv (Cornell University). 1 indexed citations

Futorny, Vyacheslav, et al.. (2013). DJKM algebras and non-classical orthogonal polynomials. Journal of Differential Equations. 255(9). 2846–2870. 2 indexed citations

Román, Pablo & Juan Tirao. (2012). The Spherical Transform of any k-Type in a Locally Compact Group. Journal of Lie theory. 22(2). 361–395. 2 indexed citations

Tirao, Juan, et al.. (2008). The image of the Lepowsky homomorphism for the split rank one symplectic group. Journal of Algebra. 320(3). 996–1050.

Pacharoni, Inés & Juan Tirao. (2007). Three Term Recursion Relation for Spherical Functions Associated to the Complex Hyperbolic Plane. Journal of Lie theory. 17(4). 791–828. 5 indexed citations

Tirao, Juan, et al.. (2004). M -spherical K -modules of a rank one semisimple Lie group. manuscripta mathematica. 113(1). 107–124. 1 indexed citations

Pacharoni, Inés, et al.. (2003). Matrix valued orthogonal polynomials of the Jacobi type. Indagationes Mathematicae. 14(3-4). 353–366. 62 indexed citations

Tirao, Juan. (2003). The matrix-valued hypergeometric equation. Proceedings of the National Academy of Sciences. 100(14). 8138–8141. 52 indexed citations

10.

Pacharoni, Inés, et al.. (2002). An Invitation to Matrix-valued Spherical Functions. Dialnet (Universidad de la Rioja). 147–160. 2 indexed citations

11.

Grünbaum, F. Alberto, Inés Pacharoni, & Juan Tirao. (2002). Matrix Valued Spherical Functions Associated to the Complex Projective Plane. Journal of Functional Analysis. 188(2). 350–441. 72 indexed citations

12.

Tirao, Juan. (1996). On the structure of the classifying ring of SO(n,1) and SU(n,1). Revista de la Unión Matemática Argentina. 40(1). 15–32. 2 indexed citations

13.

Tirao, Juan. (1994). On the left ideal in the universal enveloping algebra of a Lie group generated by a complex Lie subalgebra. Proceedings of the American Mathematical Society. 121(4). 1257–1266. 1 indexed citations

14.

Ayala, Víctor & Juan Tirao. (1994). Controllability of linear vector fields on Lie groups. OpenGrey (Institut de l'Information Scientifique et Technique). 5 indexed citations

15.

Andruskiewitsch, Nicolás & Juan Tirao. (1992). A Restriction Theorem for Modules Having a Spherical Submodule. Transactions of the American Mathematical Society. 331(2). 705–705. 1 indexed citations

16.

Tirao, Juan. (1983). A restriction theorem for semisimple Lie groups of rank one. Transactions of the American Mathematical Society. 279(2). 651–660. 5 indexed citations

17.

Tirao, Juan. (1978). Antipodal manifolds in compact symmetric spaces of rank one. Proceedings of the American Mathematical Society. 72(1). 143–149. 4 indexed citations

18.

Tirao, Juan. (1978). Antipodal Manifolds in Compact Symmetric Spaces of Rank One. Proceedings of the American Mathematical Society. 72(1). 143–143. 1 indexed citations

19.

Kostant, Bertram & Juan Tirao. (1976). On the Structure of Certain Subalgebras of a Universal Enveloping Algebra. Transactions of the American Mathematical Society. 218. 133–133. 3 indexed citations

20.

Tirao, Juan & Joseph A. Wolf. (1970). . Indiana University Mathematics Journal. 20(1). 15–15. 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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