Ángel González-Prieto is an Assistant Professor of the Faculty of Mathematical Sciences at Universidad Complutense de Madrid, where he is also the Vicedean of International and Institutional Affairs since January 2022. Formerly, he was Assistant Professor at Universidad Autónoma de Madrid and Severo Ochoa postdoctoral researcher at Instituto de Ciencias Matemáticas (CSIC). In 2021, he was awarded with the Vicent Caselles Award of Mathematical Research due to the ‘broad spectrum of his research results, of high quality, as well as their interdisciplinarity in such a distant areas like quantum field theory, machine learning and statistical methods in qualitative research’.
To be precise, the research of Ángel González-Prieto lies in the interface between algebraic and complex geometry, algebraic topology and theoretical physics. He is particularly focused on the construction and study of Topological Quantum Field Theories (TQFTs) for moduli spaces of representations, as well as their application to Hodge theory and motivic theory. Moreover, he is interested in derived geometry, higher category theory and Morse theory, as well as knot theory, both classic through Chern-Simons theory and in higher dimension via functor calculus and obstruction theory. Additionally, he works in the interplay between representation theory and geometric aspects of fluid mechanics and universality of Euler flows. Besides, he researches in theoretical aspects of machine learning and big data. In particular, he is interested in collaborative filtering-based recommender systems, problems of convergence and stability of Generative Adversarial Networks (GANs) and in the transference of geometric techniques to dimensionality reduction problems and manifold learning.
Since 2017, he has co-authored 35 scientific papers (27 published in top journals and 8 preprints currently under review), as well as one book, 3 book chapters, one conference proceeding and one patent (currently under revision). He has been invited as speaker more than 40 times in international seminars and conferences, including Oxford, Cambridge, Vienna, Copenhagen or Lisbon, among others. Finally, he is an active member of the community as peer-reviewer and journal editor.