| 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]. |  |  |
| Unai Lejarza Alonso (UB), MSc Student, Branes on generalized geometry, February 2025. |  |  |
| Jaime Pedregal Pastor (Universiteit Utrecht), MSc Student, Berger’s Holonomy Theorem and a First Incursion into Lie Algebroid Holonomy, cosupervised with G. Cavalcanti, July 2023. |  |  |
| Tom Ariel (Weizmann Institute), MSc Student, On the deformation theory of Dirac structures and the complement problem, cosupervised with D. Novikov, November 2023. |  |  |
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. |  |
Sara Samper, Lorentz versus Riemann through Hawking's theorem, July 2026 (in Spanish). |  |
| 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. |  |
Víctor Rodríguez, Computational topology and reinforcement learning: an approach through the additivity of the unknoting number (in Catalan), July 2026. |  |
| 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. |  |
| Daniel Expósito, The cap set problem: from combinatorics to the use of LLM in theoretical mathematics (in Spanish), July 2025. |  |
Mathematical understanding of machine learning
| David Estaún, From Kolmogorov-Arnold representation theorem to Kolmogorov-Arnold networks (in Spanish), July 2026. |  |
Pablo Tikas, The Underlying Mathematics of Natural Language Processing, July 2024. |  |
| Gerard Ginés, Depth in machine learning: a mathematical perspective (in Catalan), July 2024. |  |
Alicia Chimeno, Machine learning: mathematical foundations, July 2023. |  |
| Biel Majó, Reinforcement learning (in Catalan), July 2024. |  |
Algebra
| Àlex Miranda, Constructible polygons beyond ruler and compass (in Catalan), July 2020. |  |
Júlia Masó, Property L: from Frobenius to its applications via Olga Taussky (in Catalan), July 2025. |  |
| David Benzal, Clifford algebras and spinors (in Catalan), July 2026. |  |
Game theory
| Rodrigo Salinas, Game theory: the role of information in Nash equillibrium (in Catalan), July 2025. |  |
Álvaro Martorell, Aproximation of strategies in Bayesian games through neural networks, July 2025. |  |
Music and mathematics
| Núria Sauló, Musical dissonance from a mathematical viewpoint (in Catalan), July 2020. |  |
Andreu Barceló, The orbifolds of musical chords (in Catalan), February 2026. |  |
| Anna Zhi Nofuentes, Musical temperament, continuous fractions and the 53-note scale (in Catalan), July 2023. |  |
Miquel Rovira, Applications of game theory to musical composition (in Catalan), July 2023. |  |
Others (synthetic geometry, dynamical systems, analysis, optimization)
| Weibo Chen, The Cantor set before Cantor, July 2025. |  |
Marina Ferré, Optimization of the planning of TFG defences (in Catalan), July 2026. |  |
Maria Conde, Fractals and superfractals (in Catalan), July 2022. |  |
Andrea González, Visualization and axiomatic system of the hyperbolic plane (in Catalan), July 2022. |  |