In this page you can find my publications in refereed journals, monographs and conference proceedings, as well as slides of some of my talks and posters. My CV contains my list of publications and it can be downloaded from the Math - Main page.
These files are downloadable for personal use only. They may not correspond exactly to the published versions.
Preprints and work in progress
- Deciding trigonality of algebraic curves (with J. Schicho), in preparation.
- Tschirnhaus-Weierstrass curves (with J. Schicho), submitted in 2009. arXiv 0808.3038.
Papers in refereed journals and monographs
- Decomposing replicable functions (with J. McKay), LMS Journal of Computation and Mathematics 11 (June 2008), p. 146-171. ISSN 1461-1570. DOI 10.1112/S1461157000000553.
- Hyperelliptic curves with reduced automorphism group A5 (with T. Shaska), Applicable Algebra In Engineering, Communication and Computing 18 no. 1 (Feb 2007), p. 3-20. ISSN 0938-1279. DOI 10.1007/s00200-006-0030-9.
- Computation of unirational fields (with J. Gutierrez), Journal of Symbolic Computation 41 no. 11 (Nov 2006), Special Issue on the Occasion of Volker Weispfenning's 60th Birthday, p. 1222-1244. ISSN 0747-7171. DOI 10.1016/j.jsc.2005.05.009.
- Building counterexamples to generalizations for rational functions of Ritt's decomposition Theorem (with J. Gutierrez), Journal of Algebra 303 no. 2 (Sep 2006), p. 655-667. ISSN 0021-8693. DOI 10.1016/j.jalgebra.2006.06.015
- On decomposition of tame polynomials and rational functions (with J. Gutierrez), Lect. Notes in Comp. Sci. 4194 (Sep 2006), Computer Algebra in Scientific Computing (CASC 2006), p. 219-226. Springer, Berlin. ISBN 978-3-540-45182-2. DOI 10.1007/11870814_18.
- On Ritt's decomposition Theorem in the case of finite fields (with J. Gutierrez), Finite Fields and their Applications 12 no. 3 (July 2006), p. 403-412. ISSN 1071-5797. DOI 10.1016/j.ffa.2005.08.004
- Hyperelliptic curves of genus 3 with prescribed automorphism group (with J. Gutierrez and T. Shaska), Lect. Notes Ser. Comput. 13 (May 2005), Computational Aspects of Algebraic Curves, p. 109-123. World Sci. Publ., Hackensack, NJ. ISBN 981-256-459-4.
- On multivariate rational function decomposition (with J. Gutierrez and R. Rubio), Journal of Symbolic Computation 33 no. 5 (May 2002), p. 545-562. ISSN 0747-7171. DOI 10.1006/jsco.2000.0529
- A symbolic/numeric toolbox for Computed Aided Geometric Design (with L. Gonzalez-Vega and I. Necula), An. Univ. Timişoara Ser. Mat.-Inform. 38 no. 2 (2000), 2nd International Workshop on Symbolic and Numeric Algorithms in Scientific Computing (SYNASC 2000), p. 73-99. ISSN 1224-970X.
Publications in proceedings of conferences
- Polynomial integration on regions defined by a triangle and a conic (with D. Wachsmuth), accepted for the Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation (ISSAC 2010), 8 pages. arXiv 1005.0990.
- Computation of unirational fields (with J. Gutierrez), extended abstract, Proceedings of the 2005 Algorithms, Algebra and Logic (A3L 2005), p. 129-134. BOD Norderstedt, Germany, 2005. ISBN 3-8334-2669-1.
- Prediciendo el generador cuadrático
(with D. Gomez-Perez, J. Gutierrez and A. Ibeas), Proceedings of the VIII Reunión Española sobre Criptología y Seguridad de la Información (RECSI 2004), p. 185-195. Díaz de Santos, 2004. ISBN 84-7978-650-7. - Aplicación de la descomposición racional univariada a Monstrous Moonshine (with J. McKay), Proceedings of the 2004 Encuentro de Álgebra Computacional y Aplicaciones (EACA 2004), p. 289-294. ISBN 84-688-6988-04.
- Computing unirational fields of arbitrary transcendence degree (with J. Gutierrez and R. Rubio), extended abstract, Electronic Proceedings of the First Joint Meeting AMS-RSME, June 2003.
- Computing the fixing group of a rational function (with J. Gutierrez and R. Rubio), Proceedings of the 5th International workshop on Computer Algebra in Scientific Computing (CASC 2002), p. 159-164. Institüt für Informatik, Technische Universität München, 2002. ISBN 3-9808546-0-4.
- Unirational fields of transcendence degree one and functional decomposition (with J. Gutierrez and R. Rubio), Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation (ISSAC 2001), p. 167-175. ACM, New York, 2001. ISBN 1-58113-417-7. doi.acm.org/10.1145/384101.384124
- A Maple/Matlab toolbox for Computed Aided Geometric Design (with L. Gonzalez-Vega and I. Necula), Proceedings of the 2000 Encuentro de Álgebra Computacional y Aplicaciones (EACA 2000), p. 239-256. ISBN 84-699-3037-0.
Recent talks, short lectures and posters
- Talk Polynomial integration on regions defined by a triangle and a conic at the 2010 International Symposium on Symbolic and Algebraic Computation (ISSAC 2010) on 27.07.2010.
- Talk Polynomial integration on regions defined by a triangle and a conic at the conference in honour of Tomás Recio's 60th birthday on 18.05.2010.
- Talk Deciding trigonality of algebraic curves at the 2009 ÖMG-DMV meeting on 25.09.2009.
- Short lecture Symbolic/numeric tools for computer aided geometric design in the S3CM 2009 Summer School on 20-24.07.2009.
- Talk Deciding trigonality of algebraic curves at the 2009 Effective Methods in Algebraic Geometry (MEGA 2009) on 19.06.2009.
- Talk What is Symbolic Computation? First part of the presentation of the RICAM Symbolic Computation group on 15.04.2009.
