Research Interest

My research lies in the interface between complex geometry, algebraic geometry and theoretical physics. I am especially focused on Topological Quantum Field Theories, Geometric Invariant Theory, representation theory and Hodge theory. Moreover, I am interested in algebraic topology, especially in higher category theory and functor calculus. As a byproduct, I am interested in moduli spaces, mainly moduli spaces of parabolic Higgs bundles, and their relation with character varieties, gauge theory and theoretical physics.

In addition, I also research in theoretical aspects of machine learning and big data. Particularly, I am interested in collaborative filtering-based recommender systems as well as applications of highly parallelizable deep learning methods and generative adversarial networks (GANs) to real-time problems. Finally, I study the transference of geometric techniques to dimensional reduction problems and manifold learning.


Algebraic Geometry

Theoretical and Applied Machine Learning

Statistical Techniques in Software Engineering


PhD Thesis

Lecture Notes

Links to my profiles