Papers

A. Data geometry and machine learning

1. A11
   "Optimizing the dynamics of the frequency bias in Fourier features neural networks" (with J. Molina, M. Courdurier, F. Sahli) accepted in Neurocomputing, 2026 link
2. A10
   "Recurrent Equivariant Constraint Modulation: Learning Per-Layer Symmetry Relaxation from Data" (with S. Pertdikiozoglou, S. Trivedi, K. Daniilidis) arXiv:2602.02853
3. A9
   "On Universality of Deep Equivariant Networks" (with M. Pacini, B. Lepri, S. Trivedi, R. Walters) arXiv:2510.15814 ICLR 2026
4. A8
   "A Compressive-Expressive Communication Framework for Compositional Representations" (with R. Elberg and D. Parra) arXiv:2501.19182 NeurIPS 2025
5. A7
   "Symmetry-Based Structured Matrices for Efficient Approximately Equivariant Networks" (with A. Samudre, B. Nord, S. Trivedi) Oral presentation (~top 2% of submissions) at AISTATS 2025 arXiv:2409.11772
6. A6
   "Fisher Flow Matching for Generative Modeling over Discrete Data" (with O. Davis, J. Bose, S. Kessler, I. Ceylan, M. Bronstein) Main Track NeurIPS 2024 arXiv:2405.14664
7. A5
   "Long Tail Image Generation Through Feature Space Augmentation and Iterated Learning" (with R. Elberg and D. Parra) Extended abstract at LatinX in AI workshop at CVPR arXiv:2405.01705
8. A4
   "A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams" (with R. Kindelan, N. Hirschfeld, M. Cerda) Oral contribution (~top 2% of submissions) at AAAI24 arXiv:2402.14489
9. A3
   "Position Paper: Generalized grammar rules and structure-based generalization beyond classical equivariance for lexical tasks and transduction" (with S. Trivedi) arXiv:2402.01629
10. A2
    "Three iterations of (d − 1)-WL test distinguish non isometric clouds of d-dimensional points" (with P. Barcelo, V. Delle Rose, A. Kozachinskyi, C. Rojas) Main Track NeurIPS 2023 arXiv:2303.12853
11. A1
    "Approximation-Generalization Trade-offs under (Approximate) Group Equivariance" (with S. Trivedi) Main Track NeurIPS 2023 arXiv:2305.17592

B. Neuroscience and AI

1. B1
   "The richness of little voices: using artificial intelligence to understand early language development" (with A. Carvallo, V. Silva, P. Barcelo, M. Pena) bioRxiv

C. Applications of maths and machine learning

1. C3
   "AuthorColab: Discovering Cross-Country Research Collaborations Beyond Institutional Boundaries" (with C. Huerta and A. Carvallo) SSRN
2. C2
   "The search for the lost attractor" (Mario Pasquato, Syphax Haddad, Pierfrancesco Di Cintio, Alexandre Adam, Pablo Lemos, Noé Dia, Mircea Petrache, Ugo Niccolò Di Carlo, Alessandro Alberto Trani, Laurence Perreault-Levasseur, Yashar Hezaveh) Accepted by ML4PS workshop at NeurIPS 2023 arXiv:2311.16306
3. C1
   "Steady State Kinetics for Enzymes with Multiple Binding Sites Upstream of the Catalytic Site" (Osorio, M.I.; Petrache, M.; Salinas, D.G.; Valenzuela-Ibaceta, F.; González-Nilo, F.; Tiznado, W.; Pérez-Donoso, J.M.; Bravo, D.; Yáñez, O.) Symmetry 2023, 15, 2176 DOI

D. Large particle systems with long-range interactions

1. D7
   "Crystallization for Coulomb and Riesz Interactions as a Consequence of the Cohn-Kumar Conjecture" (with S. Serfaty) Proc. Amer. Math. Soc. 148 (2020), 3047–3057 arXiv:1908.09714 DOI
2. D6
   "Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics" (with D. Hardin and E. Saff) Potential Analysis 56, pages 21–64 (2022) arXiv:1902.08497 DOI
3. D5
   "Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Riesz potentials" (with C. Cotar) arXiv:1707.07664
4. D4
   "Next-order asymptotic expansion for N-marginal optimal transport with Coulomb and Riesz costs" (with C. Cotar) Advances in Mathematics, volume 344, pages 137–233, 21 February 2019 arXiv:1706.06008 DOI (15 minute talk about this paper available here)
5. D3
   "Equidistribution of jellium energy for Coulomb and Riesz interactions" (with S. Rota-Nodari) Constructive Approximation, volume 47, issue 1, pages 163–210, February 2018 arXiv:1609.03849 DOI
6. D2
   "Decorrelation as an avatar of convexity" arXiv:1507.00782
7. D1
   "Next-order asymptotics and renormalized energy for Riesz interactions" (with S. Serfaty) Journ. Inst. Math. Jussieu, Volume 16, Issue 3, June 2017, Pages 501–569 arXiv:1409.7534 DOI

E. Rigidity, crystallization and regular structures

1. E8
   "Effective recovery of Fourier spectra and spectral approximation by finite groups" (with Rodolfo Viera) arXiv:2308.07446
2. E7
   "Almost sure recovery in quasi-periodic structures" (with Rodolfo Viera) J Stat Phys 190, 39 (2023) arXiv:2112.11613 DOI
3. E6
   "Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings" (with Giacomo Del Nin) Calc. Var. 61, 226 (2022) arXiv:2101.11977 DOI
4. E5
   "Sharp discrete isoperimetric inequalities in periodic graphs via discrete PDE and Semidiscrete Optimal Transport" (with Matias Gomez) arXiv:2012.11039
5. E4
   "Crystallization to the square lattice for a two-body potential" (with L. Bétermin and L. De Luca) Archive for Rational Mechanics and Analysis 240 (2), 987–1053 arXiv:1907.06105 DOI (Popularization interview in French about the paper available here)
6. E3
   "Classification of uniformly distributed measures of dimension 1 in general codimension" (with P. Laurain) Asian J. Math 25 (4), 565–578 arXiv:1905.09601 DOI
7. E2
   "Optimal and non-optimal lattices for non-completely monotone interaction potentials" (with L. Bétermin) Analysis and Mathematical Physics, volume 9, pages 2033–2073 (2019) arXiv:1806.02233 DOI
8. E1
   "Dimension reduction techniques for theta functions on lattices" (with L. Bétermin) Journal of Mathematical Physics 58, 071902 (2017) arXiv:1607.08716 DOI

F. Fluid dynamics

1. F1
   "The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness" (with M. Gnann) JDE, vol. 265, n. 11 (2018), 5832–5958 arXiv:1710.09903 DOI

G. Topological singularities in Yang-Mills theory, nonlinear Sobolev spaces

1. "Partial regularity for weak connections in high dimensions", in preparation (with T. Rivière)
2. G10
   "Clearing-out of dipoles for minimisers of 2-dimensional discrete energies with topological singularities" (with A. Garroni and E. Spadaro) arXiv:2408.02136
3. G9
   "The Space of Weak Connections in High Dimensions" (with T. Rivière) arXiv:1812.04432
4. G8
   "The resolution of the Yang-Mills Plateau problem in super-critical dimension" (with T. Rivière) Advances in Mathematics, Volume 316, 20 August 2017, Pages 469–540 arXiv:1306.2010 DOI
5. G7
   "Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds" (with J. Van Schaftingen) Int. Math. Res. Not., 2017 (12), Pages 3647–3683 arXiv:1508.07813 DOI
6. G6
   "A singular radial connection over B^5 minimizing the Yang-Mills energy" Calc. Var. and PDE, 54 (2015) no. 1, 631–642 arXiv:1306.6763 DOI
7. G5
   "Global gauges and global extensions in optimal spaces" (with T. Rivière) Analysis and PDE, 7 (2014), No. 8, 1851–1899 arXiv:1302.5659 DOI
8. G4
   "Interior partial regularity for minimal L^p-vectorfields with integer fluxes" Ann. S.N.S. Pisa Cl. Sci., Vol. XIV (2015), issue 4, 1119–1156 arXiv:1204.0209 DOI
9. G3
   "Notes on a slice distance for singular L^p-bundles" Journ. Funct. Anal., 267 (2014), no. 2, 405–427 arXiv:1204.0175 DOI
10. G2
    "An integrability result for L^p-vectorfields in the plane" Adv. Calc. Var., 6 (2013), no. 3, 299–319 arXiv:1007.0681 DOI
11. G1
    "Weak closure of singular abelian L^p-bundles in 3-dimensions" (with T. Rivière) Geom. Funct. Anal. 21 (2011), 1419–1442 arXiv:1007.0668 DOI

H. Optimal transport and currents

1. H6
   "Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost" (with A. Gerolin, A. Vargas-Jimenez) Journal of Convex Analysis 31 (2024), No. 2, 603–618 arXiv:2401.07880
2. H5
   "Optimal Quantization with Branched Optimal Transport distances" (with Paul Pegon) arXiv:2309.08677
3. H4
   "Cyclically monotone non-optimal N-marginal transport plans and Smirnov-type decompositions for N-flows" ESAIM: COCV vol. 26, article number 120 (2020) arXiv:1903.09817 DOI
4. H3
   "Coefficient groups inducing nonbranched optimal transport" (with R. Züst) Zeitschrift für Analysis und ihre Anwendungen, vol. 37, n. 4 (2018), 389–416 arXiv:1707.03485 DOI
5. H2
   "Matchings in metric spaces, the dual problem and calibrations modulo 2" (with R. Züst) New York Journal of Mathematics arXiv:1410.0062 journal
6. H1
   "A continuous model of transportation revisited" (with L. Brasco) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov, Journ. Math. Sci., 196 (2014), no. 2, 119–137 arXiv:1211.6677 DOI

I. Mean-field equations for higher-order Laplacians

1. I2
   "Existence of solutions to a higher dimensional mean-field equation on manifolds" (with L. Martinazzi) Manuscripta Math. 133 (2010), 115–130 arXiv:1001.5231 DOI
2. I1
   "Asymptotics and quantization for a mean-field equation of higher order" (with L. Martinazzi) Comm. Partial Differential Equations 35 (2010), 1–22 arXiv:0904.3290 DOI

Theses

• PhD thesis: Weak bundle structures and a variational approach to Yang-Mills Lagrangians in supercritical dimensions
• Master's degree thesis: Differential inclusions and the Euler equation Download