Publications

  1. Beltrán, C. and Lizarte, F. (2023) A lower bound for the logarithmic energy on S^2 and for the Green energy on S^n, Constructive Approximation.
  2. Beltrán, C. and Lizarte, F. (2022) On the minimum value of the condition number of polynomials, IMA Journal of Numerical Analysis, 42, 2959-2983.
    3. Here you can read a brief description and watch a video about this paper with an informative and divulgative character.
  3. Lizarte, F., Pérez, T. E. and Piñar, M. A. (2021) The radial part of a class of Sobolev polynomials on the unit ball, Numerical Algorithms, 87, 1369-1389.

Thesis

  • PhD Thesis, 2023. Polinomios bien condicionados y puntos bien distribuidos en la esfera, under the supervision of Professor Carlos Beltrán in University of Cantabria.

    • Preprints

  • Beltrán, C., De la Torre, V. and Lizarte, F. (2022) Lower bound for the Green energy of point configurations in harmonic manifolds. ArXiv:2212.12526 [math.CA].

    • Conferences, workshop and seminaries


    Invited talks

  • II Encuentro Conjunto RSME-UMA, Ronda (Spain), December, 2022.
  • D2PO-22: Dos días de Polinomios Ortogonales, Granada (Spain), November, 2022.
  • 15th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Linz (Austria), July, 2022.
  • Random and Deterministic Point Configurations. Lluís Santaló School, Santander (Spain), July, 2022.
  • Bienal RSME 2022. Special session: Algebraic Geometry: The Applied, the Computational and the Numeric, January, 2022.
  • Point Distributions Webinar, July, 2021.
  • D1PO: Un día de Polinomios Ortogonales, Granada (Spain), May, 2021.
  • IX Jaén Conference on Approximation Theory, Jaén (Spain), July, 2018.
  • Seminary organized by the research group TAPO, Almería (Spain), November, 2017.


    • Contributed talks

  • EACA Tapas Seminar on Computer Algebra, Online, June, 2021.
  • Workshop Royal Spanish Mathematical Society – University of Granada end to master, Granada (Spain), November, 2017.


    • Poster

  • Bringing Young Mathematicians Together (BYMAT2020), Valencia (Spain), December, 2020. Online.
  • V Biennial Conference of Young Researchers organized by the Royal Spanish Mathematical Society (RSME) Castellón 2020 (Spain), January 2020.
  • Two day on Orthogonal Polynomials and Special Functions, Almería (Spain), November, 2019.
  • 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), Valencia (Spain), July, 2019.
  • II Joint Meeting Spain – Brazil in Mathematics, Cádiz (Spain), December, 2018.
  • Two day on Orthogonal Polynomials and Special Functions, Granada (Spain), December, 2018.
  • VII Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA2018), Madrid (Spain), July, 2018. Best poster award.
  • Workshop Royal Spanish Mathematical Society – University of Granada end to master, Granada (Spain), November, 2017.


    • Attendance

  • Random and Deterministic Point Configurations. Lluís Santaló School 2022, Santander (Spain), July 11-15.
  • Winter School and Workshop: Optimal Point Configurations on Manifolds, Vienna (Austria), Jan 10-21, 2022.
  • Workshop: Minimal energy problems with Riesz potentials, May 3-7, 2021. Online.
  • Geometry, Analysis and Applications (GAiA 2021), Jan 25-Feb 5, 2021. Online.
  • Optimal point Configurations and Potential Theory (CONDCOMP-OPCPOT 2019), Castro Urdiales (Spain), April, 2019.
  • Third School Orthonet, Bilbao (Spain), November, 2018.
  • Free Software workshop at the University of Granada, Granada (Spain), September, 2018.


    • Other activities


    Research stays

  • University of Barcelona, April, 2022.

    • Dissemination activities

  • Video. International Day of Women and Girls in Science, Febrery, 2022.