Points on SO(3) with low logarithmic energy
C. Beltrán, F. Carrasco, D. Ferizović, and P. R. López-Gómez
Constructive Approximation (2026)
Asymptotically optimal t-design curves on the Grassmann manifold
M. Ehler, C. Karner, and P. R. López-Gómez
15th International Conference on Sampling Theory and Applications (SampTA) (2025)
Measure-preserving mappings from the unit cube to some symmetric spaces
C. Beltrán, D. Ferizović, and P. R. López-Gómez
Journal of Approximation Theory 308, 106145 (2025)
Low-energy points on the sphere and the real projective plane
C. Beltrán, U. Etayo, and P. R. López-Gómez
Journal of Complexity 76, 101742 (2023)
Discrepancy of determinantal point processes on compact, connected two-point homogeneous spaces
C. Beltrán, U. Etayo, G. Gigante, P.R. López-Gómez, and R.W. Matzke
arXiv:2605.22295 (2026)
Minimal Riesz and logarithmic energies on the Grassmannian Gr₂,₄
U. Etayo and P. R. López-Gómez
arXiv:2501.00424 (2024)
17/09/2024 - 16/12/2024: University of Vienna, Vienna (Austria), invited by Prof. Martin Ehler.
17/04/2023 - 22/05/2023: University of Minnesota, Minneapolis (USA), invited by Prof. Dmitriy Bilyk.
Talks
A new upper bound for the minimal Riesz 2-energy on the sphere, Advances in Optimal Point Distributions and Mathematical Analysis, Barcelona (Spain), May 2026.
Points on SO(3) with low logarithmic energy, Congreso Bienal de la Real Sociedad Matemática Española, Alicante (Spain), January 2026.
Minimal Riesz energy on the Grassmannian Gr2,4, International conference: Constructive Functions 2025 in conjunction with the 37th Shanks Lecture, Nashville (USA), May 2025.
Upper bounds for the Riesz energy on the Grassmannian using determinantal point processes, Seminar of the Applied Harmonic Analysis Cluster, Vienna (Austria), November 2024.
Measure-preserving mappings from the unit cube to spheres and projective spaces, Congreso Bienal de la Real Sociedad Matemática Española, Pamplona (Spain), January 2024.
A family of well-distributed points on the sphere with antipodal symmetry. Sphere packings, coverings, and spherical codes SPCSC2023, Sofia (Bulgaria), May 2023.
Low-energy points on the sphere and the real projective plane. International Conference on Approximation Theory and Beyond, Nashville (USA), May 2023.
In search of energy minimizers on the Grassmannian. VI Congreso de Jóvenes Investigadores de la RSME, León (Spain), February 2023.
Minimizing the Green energy on the real projective plane. Random and Deterministic Point Configurations. Lluís Santaló School, Santander (Spain), July 2022.
Distribución de puntos en el plano proyectivo real. Congreso Bienal de la Real Sociedad Matemática Española, Ciudad Real (Spain), January 2022.
Posters
Asymptotically optimal t-design curves on the Grassmann manifold. 15th International Conference on Sampling Theory and Applications (SampTA), Vienna (Austria), 2025.
Low-energy points on the sphere and the real projective plane. Foundations of Computational Mathematics (FoCM) Conference, Paris (France), June 2023.
Towards an optimal discretization of the real projective plane. Recent Advances in Applications of Harmonic Analysis to Convex Geometry, Fargo (USA), April 2023.
Distributing points on the real projective plane. 10th International Conference on Curves and Surfaces, Arcachon (France), June 2022.
Resultados de separación para puntos de mínima energía en esferas. Congreso Bienal de la Real Sociedad Matemática Española, Ciudad Real (Spain), January 2022. I was awarded the Best Poster Prize.