Pedro R. López-Gómez

About

I am an Assistant Professor in the Department of Mathematics at CUNEF Universidad. I earned my PhD in Mathematics from Universidad de Cantabria in 2025, supervised by Carlos Beltrán and Ujué Etayo, and I am a member of the TEAMCO group.

My research is focused on the classical question of equidistributing points on manifolds and related problems.

You can reach me by email at pedro.lopezgomez@cunef.edu.

Upcoming events

Jul 2026 — Foundations of Computational Mathematics, Vienna

Research

Publications

Minimal Riesz and logarithmic energies on the Grassmannian Gr₂,₄

U. Etayo and P. R. López-Gómez · Revista Matemática Iberoamericana (accepted) · 2026

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 Intl. Conf. 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

Preprints

Riesz 2-energy of the Diamond ensemble

P. R. López-Gómez · arXiv:2606.25938 · 2026

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

Selected talks and seminars

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) · Jan 2026

Minimal Riesz energy on the Grassmannian Gr₂,₄

Constructive Functions 2025 & 37th Shanks Lecture, Nashville (USA) · May 2025

Upper bounds for the Riesz energy on the Grassmannian using determinantal point processes

Applied Harmonic Analysis Cluster Seminar, Vienna (Austria)· Nov 2024

Measure-preserving mappings from the unit cube to spheres and projective spaces

Congreso Bienal de la Real Sociedad Matemática Española, Pamplona (Spain) · Jan 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

See my CV for the full list of talks and posters.

Research stays

University of Vienna

Host: Prof. Martin Ehler · Sep–Dec 2024

University of Minnesota

Host: Prof. Dmitriy Bilyk · Apr–May 2023

Teaching

2025 – 2026

CUNEF Universidad

Statistics — BSc in Economics, 2nd year60 h

Mathematics II — BSc in Economics, 1st year60 h

2023 – 2024

Universidad de Cantabria

Numerical Methods — BSc in Physics, 3rd year20 h

Integral Calculus — BSc in Mathematics, 1st year20 h

2022 – 2023