Website of David Sevilla

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.

WarningThese files are downloadable for personal use only. They may not correspond exactly to the published versions.

Preprints and work in progress

  1. Algebraic aspects of radical parametrizations of algebraic curves (with R. Sendra), preprint.
  2. First steps towards radical parametrization of algebraic surfaces (with R. Sendra), submitted in 2012. arXiv 1206.1456 Link to page
  3. Tschirnhaus-Weierstrass curves (with J. Schicho), submitted in 2008. arXiv 0808.3038 Link to page

Papers in refereed journals and monographs

  1. Effective radical parametrization of trigonal curves (with J. Schicho), Contemporary Mathematics 572 (2012), Computational Algebraic and Analytic Geometry, p. 221-231. Amer. Math. Soc. ISBN 0-8218-6869-1. DOI 10.1145/1837934.1837968 Download PDF
  2. Radical parametrizations of algebraic curves by adjoint curves (with R. Sendra), Journal of Symbolic Computation 46 no. 9 (Sep 2011), p. 1030-1038. ISSN 0747-7171. DOI 10.1016/j.jsc.2011.05.005 Download PDF. arXiv 0805.3214 Link to page
  3. Common factors of resultants modulo p (with D. Gomez, J. Gutierrez and A. Ibeas), Bulletin of the Australian Mathematical Society 79 no. 2 (April 2009), p. 299-302. ISSN 0004-9727. DOI 10.1017/S0004972708001275. Download PDF
  4. 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. Download PDF
  5. 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. Download PDF
  6. 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. Download PDF
  7. 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 Download PDF
  8. 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. Download PDF
  9. 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 Download PDF
  10. 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. Download PDF
  11. 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 Download PDF
  12. A symbolic/numeric toolbox for Computer 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. Link to page Download PDF

Publications in proceedings of conferences

  1. Polynomial integration on regions defined by a triangle and a conic (with D. Wachsmuth), Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation (ISSAC 2010), p. 163-170. ISBN 978-1-4503-0150-3. DOI 10.1145/1837934.1837968 Download PDF. arXiv 1005.0990 Link to page
  2. 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. Download PDF
  3. Prediciendo el generador cuadrático In Spanish (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. Download PDF
  4. Aplicación de la descomposición racional univariada a Monstrous Moonshine In Spanish (with J. McKay), Proceedings of the 2004 Encuentro de Álgebra Computacional y Aplicaciones (EACA 2004), p. 289-294. ISBN 84-688-6988-04. Download PDF
  5. 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. Link to page Download PDF
  6. 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. Download PDF
  7. 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 Download PDF
  8. A Maple/Matlab toolbox for Computer 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. Download PDF

Some talks, short lectures and posters

  1. Talk Parametrización radical de curvas algebraicas In Spanish at the 2012 Workshop on Algebra and Geometry (WAG 2012) on 13.09.2012. Download PDF
  2. Talk First steps toward radical parametrization of algebraic surfaces at the Eighth International Conference on Mathematical Methods for Curves and Surfaces (CAGD 2012) on 29.09.2012. Download PDF
  3. Talk Decidir constructivamente la trigonalidad de una curva algebraica In Spanish at Seminar of the IUMPA at the UPV in Valencia on 17.06.2011.
  4. Talk The four color theorem at the Linz-Vienna Algebraic Geometry seminar on 26.11.2010.
  5. 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. Download PDF
  6. 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. Download PDF
  7. Talk Deciding trigonality of algebraic curves at the 2009 ÖMG-DMV meeting on 25.09.2009. Download PDF
  8. Short lecture Symbolic/numeric tools for computer aided geometric design in the S3CM 2009 Summer School on 20-24.07.2009. Download compressed file
  9. Talk Deciding trigonality of algebraic curves at the 2009 Effective Methods in Algebraic Geometry (MEGA 2009) on 19.06.2009. Download PDF
  10. Talk What is Symbolic Computation? First part of the presentation of the RICAM Symbolic Computation group on 15.04.2009. Download PDF

Doctorate thesis

  • Teoremas de Ritt y computación de cuerpos unirracionales. In Spanish Ph. D. Thesis. Advisor: Jaime Gutierrez. March 2004, University of Cantabria. (Warning: contains many typos) Download PDF