I now concentrate on questions from geometric deep learning and compositional learning. These are exciting uncharted areas with lots of work still to do!
My background is in Mathematical Analysis, Differential and Metric Geometry, Geometric Measure Theory, Large Point Configurations, with side interests in many other areas of mathematics, see my papers for more.
If you are interested in the above and want to discuss, please write me an email.
Affiliations: Facultad de Matemáticas UC, Instituto de Ingeniería Matemática y Computacional UC, CENIA
What's new
- New preprint "AuthorColab: Discovering Cross-Country Research Collaborations Beyond Institutional Boundaries" (with C. Huerta and A. Carvallo) SSRN
- New preprint "Recurrent Equivariant Constraint Modulation: Learning Per-Layer Symmetry Relaxation from Data" (with S. Pertdikiozoglou, S. Trivedi, K. Daniilidis) arXiv:2602.02853
- New preprint "The richness of little voices: using artificial intelligence to understand early language development" (with A. Carvallo, V. Silva, P. Barcelo, M. Pena) bioRxiv
- New preprint "On Universality of Deep Equivariant Networks" (with M. Pacini, B. Lepri, S. Trivedi, R. Walters) arXiv:2510.15814, accepted at ICLR 2026
- New preprint "A Compressive-Expressive Communication Framework for Compositional Representations" (with R. Elberg and D. Parra) arXiv:2501.19182, NeurIPS 2025
- Accepted in M3AS: "Clearing-out of dipoles for minimisers of 2-dimensional discrete energies with topological singularities" (with A. Garroni and E. Spadaro) arXiv:2408.02136
- NeurIPS 2024 paper: "Fisher Flow Matching for Generative Modeling over Discrete Data" (with O. Davis, J. Bose, S. Kessler, I. Ceylan, M. Bronstein) arXiv:2405.14664
- Oral contribution at AAAI24: "A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams" (with R. Kindelan, N. Hirschfeld, M. Cerda) arXiv:2402.14489
- Preprint "Position Paper: Generalized grammar rules and structure-based generalization beyond classical equivariance for lexical tasks and transduction" (with S. Trivedi) arXiv:2402.01629
- Preprint "Effective recovery of Fourier spectra and spectral approximation by finite groups" (with R. Viera) arXiv:2308.07446
CV
- Since Jan 2018
- Assistant Professor at PUC Chile.
- Sep–Dec 2017
- Visited FIM in Zürich and Vanderbilt University.
- 2015–17
- MIS Max Planck Institute in Leipzig and Max Planck Institute in Bonn. (Funding: European Post-Doc Institute. Mentors: B. Kirchheim, S. Müller)
- 2013–2015
- Postdoc at Laboratoire Jacques-Louis Lions (Funding: Fondation Sciences Mathématiques de Paris. Mentor: Sylvia Serfaty)
- 2013
- Ph.D. at ETH Zürich (Thesis: "Weak bundle structures and a variational approach to Yang-Mills Lagrangians in supercritical dimensions". Advisor: Tristan Rivière).
- 2008
- MSc Scuola Normale Superiore (Thesis: "Differential Inclusions and the Euler equation". Advisor: Luigi Ambrosio).
Links to some past events
For personal reference.
- NeurIPS 2023 website, 10–16 Dec 2023 in New Orleans, USA
- Doctoral course on Data Geometry and Deep Learning at Rome "La Sapienza" university, Nov–Dec 2022
- Organized workshop on Theoretical and Mathematical aspects of Deep Learning, 4 August 2022, at UC Chile (hybrid event)
- ICIAM conference, Valencia, Spain, July 15–19, 2019: talks in mini-symposia "Discrepancy and Minimal Energy" and "Molecular simulation: quantum mechanical models" (photo with L. Bétermin)
- BIRS workshop January 27th – February 1st, 2019 on Optimal Transport Methods in Density Functional Theory
- Workshop that I co-organized, on November 30th, 2018, London: Symmetries, asymptotics and multi-scale approaches
- AIM workshop Discrete geometry and automorphic forms, San Jose, California, September 24–28, 2018
- Workshop on Geometric Measure Theory in Verona, June 11–15, 2018
- Workshop on Nonlocal interactions: Dislocations and beyond, Bath, 11–14 June 2018
- ICERM trimester on Optimal and Random Point Configurations, Brown University, Providence, February 26th – March 2nd, 2018
- Workshop that I co-organized, on February 15–17, 2017, London: New trends in Mathematical Physics at the interface of Analysis and Probability
