Arnaldo Garcia

1.9k total citations
44 papers, 943 citations indexed

About

Arnaldo Garcia is a scholar working on Geometry and Topology, Artificial Intelligence and Computational Theory and Mathematics. According to data from OpenAlex, Arnaldo Garcia has authored 44 papers receiving a total of 943 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Geometry and Topology, 22 papers in Artificial Intelligence and 15 papers in Computational Theory and Mathematics. Recurrent topics in Arnaldo Garcia's work include Algebraic Geometry and Number Theory (26 papers), Coding theory and cryptography (22 papers) and Polynomial and algebraic computation (11 papers). Arnaldo Garcia is often cited by papers focused on Algebraic Geometry and Number Theory (26 papers), Coding theory and cryptography (22 papers) and Polynomial and algebraic computation (11 papers). Arnaldo Garcia collaborates with scholars based in Brazil, Germany and Türkiye. Arnaldo Garcia's co-authors include Henning Stichtenoth, Chaoping Xing, R. F. Lax, Fernando Torres, Seon Jeong Kim, José Felipe Voloch, Cem Güneri̇, Hans-Georg Rück, Michael E. Thomas and Ferruh Özbudak and has published in prestigious journals such as IEEE Transactions on Information Theory, Inventiones mathematicae and Proceedings of the American Mathematical Society.

In The Last Decade

Arnaldo Garcia

43 papers receiving 877 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Arnaldo Garcia Brazil	16	680	469	271	226	196	44	943
Daqing Wan United States	19	768 1.1×	481 1.0×	271 1.0×	299 1.3×	264 1.3×	102	1.1k
José Felipe Voloch United States	17	382 0.6×	577 1.2×	209 0.8×	224 1.0×	223 1.1×	88	906
René Schoof Italy	15	635 0.9×	597 1.3×	204 0.8×	149 0.7×	226 1.2×	37	1.1k
Gábor Korchmáros Italy	14	714 1.1×	430 0.9×	101 0.4×	647 2.9×	206 1.1×	112	1.0k
Vladimir Shpilrain United States	17	251 0.4×	532 1.1×	351 1.3×	156 0.7×	208 1.1×	80	857
Bernard R. McDonald United States	12	411 0.6×	223 0.5×	177 0.7×	354 1.6×	129 0.7×	30	840
Ruud Pellikaan Netherlands	16	775 1.1×	182 0.4×	291 1.1×	151 0.7×	48 0.2×	43	910
Xiang‐dong Hou United States	19	1.1k 1.6×	161 0.3×	233 0.9×	397 1.8×	79 0.4×	99	1.2k
Massimo Giulietti Italy	15	546 0.8×	230 0.5×	108 0.4×	408 1.8×	100 0.5×	68	701
Anatolij A. Karatsuba Russia	5	375 0.6×	94 0.2×	155 0.6×	84 0.4×	65 0.3×	17	685

Countries citing papers authored by Arnaldo Garcia

Since Specialization

Citations

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

Fields of papers citing papers by Arnaldo Garcia

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arnaldo Garcia

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

Garcia, Arnaldo, et al.. (2008). On additive polynomials and certain maximal curves. Journal of Pure and Applied Algebra. 212(11). 2513–2521. 5 indexed citations

Garcia, Arnaldo & Henning Stichtenoth. (2006). Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications). Springer eBooks. 6 indexed citations

Garcia, Arnaldo & Henning Stichtenoth. (2006). A maximal curve which is not a Galois subcover of the Hermitian curve. Bulletin of the Brazilian Mathematical Society New Series. 37(1). 139–152. 16 indexed citations

Garcia, Arnaldo & Henning Stichtenoth. (2006). Topics in Geometry, Coding Theory and Cryptography. CERN Document Server (European Organization for Nuclear Research). 35 indexed citations

Beelen, Peter, Arnaldo Garcia, & Henning Stichtenoth. (2005). Towards a classification of recursive towers of function fields over finite fields. Finite Fields and Their Applications. 12(1). 56–77. 4 indexed citations

Beelen, Peter, Arnaldo Garcia, & Henning Stichtenoth. (2004). On towers of function fields of Artin-Schreier type. Bulletin of the Brazilian Mathematical Society New Series. 35(2). 151–164. 2 indexed citations

Garcia, Arnaldo, et al.. (2004). On a characterization of certain maximal curves. Finite Fields and Their Applications. 10(2). 133–158. 11 indexed citations

Garcia, Arnaldo, et al.. (2003). On Kummer covers with many rational points over finite fields. Journal of Pure and Applied Algebra. 185(1-3). 177–192. 10 indexed citations

Garcia, Arnaldo, et al.. (2001). A construction of curves over finite fields. Acta Arithmetica. 98(2). 181–195. 10 indexed citations

10.

Garcia, Arnaldo, Henning Stichtenoth, & Chaoping Xing. (2000). On Subfields of the Hermitian Function Field. Compositio Mathematica. 120(2). 137–170. 75 indexed citations

11.

Garcia, Arnaldo & Henning Stichtenoth. (1999). On Chebyshev polynomials and maximal curves. Acta Arithmetica. 90(4). 301–311. 10 indexed citations

12.

Garcia, Arnaldo & Henning Stichtenoth. (1999). A Class of Polynomials over Finite Fields. Finite Fields and Their Applications. 5(4). 424–435. 14 indexed citations

13.

Garcia, Arnaldo, Henning Stichtenoth, & Michael E. Thomas. (1997). On Towers and Composita of Towers of Function Fields over Finite Fields. Finite Fields and Their Applications. 3(3). 257–274. 22 indexed citations

14.

Garcia, Arnaldo, et al.. (1997). On Maximal Curves. Journal of Number Theory. 67(1). 29–51. 47 indexed citations

15.

Garcia, Arnaldo. (1997). A note on relative dimensions of rings and conductors in function fields. Journal of Pure and Applied Algebra. 119(1). 67–74. 1 indexed citations

16.

Garcia, Arnaldo & R. F. Lax. (1996). Rational nodal curves with no smooth Weierstrass points. Proceedings of the American Mathematical Society. 124(2). 407–413. 2 indexed citations

17.

Garcia, Arnaldo. (1993). Some arithmetic properties of order-sequences of algebraic curves. Journal of Pure and Applied Algebra. 85(3). 259–269. 2 indexed citations

18.

Garcia, Arnaldo & R. F. Lax. (1993). Weierstrass weight of Gorenstein singularities with one or two branches. manuscripta mathematica. 81(1). 361–378. 4 indexed citations

19.

Garcia, Arnaldo. (1992). On goppa codes and artin—schreier extensions. Communications in Algebra. 20(12). 3683–3689. 5 indexed citations

20.

Garcia, Arnaldo & Karl-Otto Stöhr. (1987). On semigroups of irreducible algebroid plane curves. Communications in Algebra. 15(10). 2185–2192. 1 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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