Ana Vargas

1.7k total citations
38 papers, 866 citations indexed

About

Ana Vargas is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Ana Vargas has authored 38 papers receiving a total of 866 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 29 papers in Mathematical Physics and 3 papers in Numerical Analysis. Recurrent topics in Ana Vargas's work include Advanced Harmonic Analysis Research (22 papers), Advanced Mathematical Physics Problems (20 papers) and Mathematical Analysis and Transform Methods (13 papers). Ana Vargas is often cited by papers focused on Advanced Harmonic Analysis Research (22 papers), Advanced Mathematical Physics Problems (20 papers) and Mathematical Analysis and Transform Methods (13 papers). Ana Vargas collaborates with scholars based in Spain, South Korea and United States. Ana Vargas's co-authors include Luis Vega, Terence Tao, Sanghyuk Lee, Alberto Ruiz, Fernando Soria, Keith M. Rogers, Javier Duoandikoetxea, Anthony Carbery, Sahbi Keraani and Jonathan Bennett and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Journal of Functional Analysis.

In The Last Decade

Ana Vargas

35 papers receiving 758 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ana Vargas Spain 15 715 679 83 68 50 38 866
Camil Muscalu United States 13 437 0.6× 590 0.9× 44 0.5× 24 0.4× 17 0.3× 27 644
Detlef Müller Germany 16 597 0.8× 823 1.2× 113 1.4× 20 0.3× 18 0.4× 68 913
Ioan Bejenaru United States 11 397 0.6× 259 0.4× 38 0.5× 126 1.9× 118 2.4× 22 432
Florian-Horia Vasilescu France 13 408 0.6× 480 0.7× 163 2.0× 19 0.3× 18 0.4× 54 617
Eugenio Montefusco Italy 13 415 0.6× 404 0.6× 253 3.0× 143 2.1× 71 1.4× 25 598
Peter A. Tomas United States 7 329 0.5× 394 0.6× 46 0.6× 37 0.5× 20 0.4× 13 473
Markus Poppenberg Germany 7 474 0.7× 473 0.7× 235 2.8× 74 1.1× 55 1.1× 20 582
W. Rother Germany 7 338 0.5× 390 0.6× 239 2.9× 113 1.7× 65 1.3× 21 531
Андрей Андреевич Шкаликов Russia 18 776 1.1× 520 0.8× 412 5.0× 114 1.7× 33 0.7× 81 976
Shuji Machihara Japan 12 372 0.5× 257 0.4× 30 0.4× 97 1.4× 79 1.6× 35 468

Countries citing papers authored by Ana Vargas

Since Specialization
Citations

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

Fields of papers citing papers by Ana Vargas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ana Vargas

This figure shows the co-authorship network connecting the top 25 collaborators of Ana Vargas. A scholar is included among the top collaborators of Ana Vargas 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 Ana Vargas. Ana Vargas 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.
Jeong, Eun-Hee, Sanghyuk Lee, & Ana Vargas. (2018). Improved bound for the bilinear Bochner–Riesz operator. Mathematische Annalen. 372(1-2). 581–609. 7 indexed citations
2.
Colzani, Leonardo, Giacomo Gigante, & Ana Vargas. (2014). Localization for Riesz means of Fourier expansions. Transactions of the American Mathematical Society. 366(12). 6229–6245.
3.
Lee, Sanghyuk & Ana Vargas. (2012). On the cone multiplier in R3. Journal of Functional Analysis. 263(4). 925–940. 13 indexed citations
4.
Lee, Sanghyuk & Ana Vargas. (2010). Restriction estimates for some surfaces with vanishing curvatures. Journal of Functional Analysis. 258(9). 2884–2909. 10 indexed citations
5.
Lee, Sanghyuk, Keith M. Rogers, & Ana Vargas. (2010). An endpoint space–time estimate for the Schrödinger equation. Advances in Mathematics. 226(5). 4266–4285. 4 indexed citations
6.
Barceló, Juan Antonio, Daniel Faraco, Alberto Ruiz, & Ana Vargas. (2009). Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers. Mathematische Annalen. 346(3). 505–544. 9 indexed citations
7.
Keraani, Sahbi & Ana Vargas. (2008). A smoothing property for the \( L^{2} \)-critical NLS equations and an application to blowup theory. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 26(3). 745–762. 12 indexed citations
8.
Lee, Sanghyuk & Ana Vargas. (2008). Sharp null form estimates for the wave equation. American Journal of Mathematics. 130(5). 1279–1326. 12 indexed citations
9.
Vargas, Ana, et al.. (2007). Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation. Transactions of the American Mathematical Society. 359(11). 5257–5282. 84 indexed citations
10.
Rogers, Keith M. & Ana Vargas. (2006). A refinement of the Strichartz inequality on the saddle and applications. Journal of Functional Analysis. 241(1). 212–231. 12 indexed citations
11.
Bennett, Jonathan & Ana Vargas. (2002). Randomised circular means of Fourier transforms of measures. Proceedings of the American Mathematical Society. 131(1). 117–127. 4 indexed citations
12.
Vargas, Ana & Luis Vega. (2001). Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm. Journal de Mathématiques Pures et Appliquées. 80(10). 1029–1044. 44 indexed citations
13.
Tao, Terence, Ana Vargas, & Luis Vega. (1998). A bilinear approach to the restriction and Kakeya conjectures. Journal of the American Mathematical Society. 11(4). 967–1000. 148 indexed citations
14.
Duoandikoetxea, Javier & Ana Vargas. (1998). Maximal operators associated to Fourier multipliers with an arbitrary set of parameters. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 128(4). 683–696. 7 indexed citations
15.
Jones, Peter W., Nets Hawk Katz, & Ana Vargas. (1997). Checkerboards, Lipschitz functions and uniform rectifiability. Revista Matemática Iberoamericana. 13(1). 189–210. 6 indexed citations
16.
Vargas, Ana. (1996). Weighted Weak Type (1,1) Bounds for Rough Operators. Journal of the London Mathematical Society. 54(2). 297–310. 31 indexed citations
17.
Vargas, Ana. (1995). A remark on a maximal function over a Cantor set of directions. Rendiconti del Circolo Matematico di Palermo Series 2. 44(2). 273–282. 6 indexed citations
18.
Duoandikoetxea, Javier & Ana Vargas. (1995). Directional operators and radial functions on the plane. Arkiv för matematik. 33(2). 281–291. 12 indexed citations
19.
Vargas, Ana. (1994). A weighted inequality for the Kakeya maximal operator. Proceedings of the American Mathematical Society. 120(4). 1101–1105. 4 indexed citations
20.
Vargas, Ana. (1994). On the maximal function for rotation invariant measures in $ℝ^{n}$. Studia Mathematica. 110(1). 9–17. 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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