Fernando Rodríguez Villegas

441 total citations
16 papers, 129 citations indexed

About

Fernando Rodríguez Villegas is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Fernando Rodríguez Villegas has authored 16 papers receiving a total of 129 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Mathematical Physics, 9 papers in Algebra and Number Theory and 8 papers in Geometry and Topology. Recurrent topics in Fernando Rodríguez Villegas's work include Advanced Algebra and Geometry (9 papers), Analytic Number Theory Research (7 papers) and Algebraic Geometry and Number Theory (4 papers). Fernando Rodríguez Villegas is often cited by papers focused on Advanced Algebra and Geometry (9 papers), Analytic Number Theory Research (7 papers) and Algebraic Geometry and Number Theory (4 papers). Fernando Rodríguez Villegas collaborates with scholars based in United States, France and Italy. Fernando Rodríguez Villegas's co-authors include Don Zagier, Henri Cohen, Tonghai Yang, Farshid Hajir, Jonathan Pila, José Felipe Voloch, Paul E. Gunnells, Tamás Hausel, Alicia Dickenstein and Eduardo Cattani and has published in prestigious journals such as Mathematics of Computation, Inventiones mathematicae and Duke Mathematical Journal.

In The Last Decade

Fernando Rodríguez Villegas

16 papers receiving 112 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Fernando Rodríguez Villegas United States	7	70	68	56	21	19	16	129
Emilia Mezzetti Italy	7	127 1.8×	77 1.1×	31 0.6×	16 0.8×	47 2.5×	30	142
Per Salberger Sweden	8	158 2.3×	88 1.3×	64 1.1×	36 1.7×	49 2.6×	14	175
Árpád Tóth Hungary	10	93 1.3×	143 2.1×	137 2.4×	22 1.0×	6 0.3×	24	217
Stephan Baier Germany	7	68 1.0×	129 1.9×	56 1.0×	13 0.6×	6 0.3×	44	149
Ulrich Derenthal Germany	8	162 2.3×	98 1.4×	79 1.4×	29 1.4×	33 1.7×	17	170
Daniel Erman United States	7	127 1.8×	104 1.5×	23 0.4×	13 0.6×	50 2.6×	31	153
Jérémy Blanc France	9	136 1.9×	31 0.5×	83 1.5×	29 1.4×	15 0.8×	27	171
Abramo Hefez Brazil	8	171 2.4×	54 0.8×	59 1.1×	25 1.2×	65 3.4×	27	200
Nero Budur United States	9	188 2.7×	103 1.5×	97 1.7×	20 1.0×	53 2.8×	29	228
Olav Arnfinn Laudal Norway	9	189 2.7×	152 2.2×	134 2.4×	13 0.6×	42 2.2×	29	238

Countries citing papers authored by Fernando Rodríguez Villegas

Since Specialization

Citations

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

Fields of papers citing papers by Fernando Rodríguez Villegas

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Fernando Rodríguez Villegas. 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 Fernando Rodríguez Villegas. The network helps show where Fernando Rodríguez Villegas may publish in the future.

Co-authorship network of co-authors of Fernando Rodríguez Villegas

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

All Works

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16 of 16 papers shown

Gunnells, Paul E., et al.. (2018). Torus orbits on homogeneous varieties and Kac polynomials of quivers. Mathematische Zeitschrift. 290(1-2). 445–467. 5 indexed citations

Villegas, Fernando Rodríguez, et al.. (2013). On the bilinear structure associated to Bezoutians. Journal of Algebra. 400. 161–184. 3 indexed citations

Cattani, Eduardo, Alicia Dickenstein, & Fernando Rodríguez Villegas. (2010). The Structure of Bivariate Rational Hypergeometric Functions. International Mathematics Research Notices. 1 indexed citations

Hausel, Tamás, et al.. (2010). Topology of character varieties and representations of quivers. Comptes Rendus Mathématique. 348(3-4). 131–135. 5 indexed citations

Villegas, Fernando Rodríguez. (2007). Experimental Number Theory. 11 indexed citations

Gunnells, Paul E. & Fernando Rodríguez Villegas. (2007). Lattice polytopes, Hecke operators, and the Ehrhart polynomial. Selecta Mathematica. 13(2). 253–276. 1 indexed citations

Villegas, Fernando Rodríguez, et al.. (2004). Computing weight $2$ modular forms of level $p^2$. Mathematics of Computation. 74(251). 1545–1558. 4 indexed citations

Cohen, Henri, Fernando Rodríguez Villegas, & Don Zagier. (2000). Convergence Acceleration of Alternating Series. Experimental Mathematics. 9(1). 3–12. 38 indexed citations

Villegas, Fernando Rodríguez & José Felipe Voloch. (1999). On Certain Plane Curves with Many Integral Points. Experimental Mathematics. 8(1). 57–62. 4 indexed citations

10.

Villegas, Fernando Rodríguez & Tonghai Yang. (1999). Central values of Hecke L-functions of CM number fields. Duke Mathematical Journal. 98(3). 12 indexed citations

11.

Pila, Jonathan & Fernando Rodríguez Villegas. (1999). Concordant sequences and integral-valued entire functions. Acta Arithmetica. 88(3). 239–268. 6 indexed citations

12.

Hajir, Farshid & Fernando Rodríguez Villegas. (1997). Explicit elliptic units, I. Duke Mathematical Journal. 90(3). 10 indexed citations

13.

Villegas, Fernando Rodríguez & Don Zagier. (1995). Which primes are sums of two cubes. 295–306. 4 indexed citations

14.

Villegas, Fernando Rodríguez. (1993). The Congruences of Clausen‐von Staudt and Kummer for Half‐integral Weight Eisenstein Series. Mathematische Nachrichten. 162(1). 187–191. 3 indexed citations

15.

Villegas, Fernando Rodríguez. (1993). Square root formulas for central values of Hecke L-series II. Duke Mathematical Journal. 72(2). 8 indexed citations

16.

Villegas, Fernando Rodríguez. (1991). On the square root of special values of certainL-series. Inventiones mathematicae. 106(1). 549–573. 14 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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