Roberto Rubio

I am always willing to supervise research projects
in my areas of interest and expertise at any level.
If you have any questions, do not hesitate to contact me.

Current group

Filip Moučka (CTU Prague, UAB), Phd Student, cosupervised with B. Jurčo.

Jaime Pedregal Pastor (Universiteit Utrecht, UAB), PhD Student, cosupervised with G. Cavalcanti.

Tom Ariel (KU Leuven, UAB), PhD Student, cosupervised with M Zambon.

Unai Lejarza Alonso (UB), MSc Student.

Former PhD students

Dan Agüero (IMPA), Complex Dirac structures with constant real index, jointly with H. Bursztyn. 4th September 2020. The preprint that stemmed from this thesis is arXiv:2105.05265 [math.DG].

Former MSc students

Jaime Pedregal Pastor (Universiteit Utrecht), MSc Student, cosupervised with G. Cavalcanti, July 2023.

Tom Ariel (Weizmann Institute), MSc Student, cosupervised with D. Novikov, November 2023.

Francisco Sánchez (UB), T-duality through generalized geometry, jointly with I. Mundet, 23rd September 2020.
Young Min Kim (UAB), Exceptional Generalized Geometry, Topological p-branes and Wess-Zumino-Witten term (MSc in high energy physics, astrophysics and cosmology IFAE-ICE-UAB), 7th September 2020.

Former final year projects

Differential geometry

Adrià Marín, On the canonical contact structure of the space of null geodesics of a spacetime (Min. of Education collaboration grant), July 2021.		Jaime Pedregal, From symplectic to Poisson, a study of reduction and a proposal towards implosion, July 2021.
Jordi Puigdefàbregas, Complex Dirac structures, September 2023.		Adolfo Hilario, BSc in Physics, A Consistent Quantization Procedure with Deformation Quantization and Spinor Bundles, July 2024.

Machine learning for mathematics

Anna Aumatell, Graph theory through reinforcement learning (in Catalan), July 2024.		Rocío Rodríguez, Matrix multiplication, from the minimum number of products to AI (in Spanish), July 2024.
Andreu Quesada, AI as a guide to mathematical intuition, September 2023.

Mathematical understanding of machine learning

Pablo Tikas, The Underlying Mathematics of Natural Language Processing, July 2024.		Gerard Ginés, Depth in machine learning: a mathematica perspective (in Catalan), July 2024.
Alicia Chimeno, Machine learning: mathematical foundations, July 2023.		Biel Majó, Reinforcement learning (in Catalan), July 2024.

Music and mathematics

Núria Sauló, Musical dissonance from a mathematical viewpoint (in Catalan), July 2020.		Miquel Rovira, Applications of game theory to musical composition (in Catalan), July 2023.
Anna Zhi Nofuentes, Musical temperament, continuous fractions and the 53-note scale (in Catalan), July 2023.

Other (algebra, geometry, dynamical systems)

Àlex Miranda, Constructible polygons beyond ruler and compass (in Catalan), July 2020.		Maria Conde, Fractals and superfractals (in Catalan), July 2022.
Andrea González, Visualization and axiomatic system of the hyperbolic plane (in Catalan), July 2022.