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).
Points on SO(3) with low logarithmic energy, C. Beltrán, F. Carrasco, D. Ferizović, and P. R. López-Gómez, arXiv:2506.13388, 2025.
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
Minimal Riesz energy on the Grassmannian Gr2,4, International conference: Constructive Functions 2025 in conjunction with the 37th Shanks Lecture, Nashville (USA), May 2025.
Minimización de energía en esferas, espacios proyectivos y grassmannianas, Universidad de Cantabria, Santander (Spain), May 2025.
Energy minimization on spheres, projective spaces, and Grassmannians, CUNEF Universidad, Madrid (Spain), February 2025.
Lower and upper bounds for the Riesz energy on the Grassmannian, VII Congreso de Jóvenes Investigadores de la RSME, Bilbao (Spain), January 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.
Well-distributed points on the sphere and the real projective plane, XXVIII CEDYA / XVIII CMA conference, Bilbao (Spain), June 2023.
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.
Aplicaciones equivolumétricas del hipercubo unidad a las variedades armónicas clásicas. II Encuentro conjunto RSME-UMA, Ronda (Spain), December 2022.
Towards an optimal discretization of the real projective plane. BYMAT Conference, online, November 2022.
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 la esfera y el plano proyectivo real. Encuentros de Primavera de Matemáticas en la EII (Málaga)-I, Málaga (Spain), May 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.
Measure-preserving mapping from the unit cube to spheres and projective spaces. Congreso Bienal de la Real Sociedad Matemática Española, Pamplona (Spain), January 2024.
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.
The projective Diamond ensemble. II Encuentro conjunto RSME-UMA, Ronda (Spain), December 2022.
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.
From Bloch Oscillations to Ohmic Transport using Second-Principles Density Functional Theory. XXIV International Symposium on the Jahn-Teller Effect, Santander (Spain), June 2018.
Attendance
Rivière-Fabes Symposium on Analysis and PDE, Minneapolis (USA), April 2023.
15th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Linz (Austria), July 2022.
Point Configurations: Deformations and Rigidity, LMS Research School, London (United Kingdom), June-July 2022.
Winter School and Workshop "Optimal Point Configurations on Manifolds", Vienna (Austria) (Online participant), January 2022.