Personal profile
Education/Academic qualification
Masters, Master in Advanced mathematics
1 Sept 2010 → 1 Sept 2011
Award Date: 1 Sept 2011
Postgraduate, Graduate Certificate in Mathematics for Secondary Education, Universitat Pompeu Fabra (UPF)
1 Sept 2009 → 6 Jul 2010
Award Date: 6 Jul 2010
University diploma, Teaching certificate, Institut de Ciències de l'Educació de la Universitat de Barcelona (ICE-UB)
1 Sept 2009 → 1 May 2010
Award Date: 1 May 2010
Degree, Degree in mathematics, Universitat de Barcelona. Facultat de Matemàtiques
1 Sept 2001 → 1 Jul 2005
Award Date: 1 Jul 2005
Ph. D., Singular integral operators on sobolev spaces on domains and quasiconformal mappings
1 Feb 2012 → 16 Oct 2015
Award Date: 10 Oct 1015
External positions
Associate professor, Universitat de Barcelona (UB)
15 Feb 2021 → 29 Jan 2023
Postdoctoral position, Aalto University/Aalto korkeakoulusaatio
1 Sept 2019 → 30 Jun 2020
Postdoctoral position, Universidad Autónoma de Madrid (UAM)
1 Nov 2015 → 30 Sept 2017
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Collaborations and top research areas from the last five years
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Geometric measure theory, harmonic analysis, and PDEs
Tolsa Domenech, X. (Principal Investigator), Dabrowski, D. (Collaborator), Guillen Mola, I. (Collaborator), Hernandez Garcia, J. (Collaborator), Jeznach, C. (Collaborator), Lloret Sanchez, L. (Collaborator), Martin Pedret, J. (Investigator), Prat Baiget, L. (Investigator) & Prats Soler, M. (Investigator)
1/09/25 → 31/08/29
Project: Research Projects and Other Grants
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INTEGRALES SINGULARES, TEORIA GEOMETRICA DE LA MEDIDA Y EDP'S
Tolsa Domenech, X. (Principal Investigator), Dabrowski ., D. M. (Collaborator), Gallegos Saliner, J. M. (Collaborator), Guillen Mola, I. (Collaborator), Molero Casanova, A. (Collaborator), Prats Soler, M. (Collaborator), Sakellaris , G. (Collaborator), Martin Pedret, J. (Investigator), Prat Baiget, L. (Investigator), Hernandez Garcia, J. (Collaborator) & Ville Oikari, T. (Collaborator)
1/09/21 → 31/08/25
Project: Research Projects and Other Grants
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Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale
Astala, K., Prats, M. & Saksman, E., Jun 2024, In: Journal des Mathematiques Pures et Appliquees. 186, p. 205-250 46 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access2 Downloads (Pure) -
Minimizers for the thin one-phasefree boundary problem
Engelstein, M., Kauranen, A., Prats, M., Sakellaris, G. & Sire, Y., Sept 2021, In: Communications on Pure and Applied Mathematics. 74, 9, p. 1971-2022 52 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access7 Link opens in a new tab Citations (Scopus)1 Downloads (Pure) -
The two-phase problem for harmonic measure in VMO
Prats, M. & Tolsa, X., 1 Jun 2020, In: Calculus of Variations and Partial Differential Equations. 59, 3Research output: Contribution to journal › Article › Research › peer-review
Open Access7 Link opens in a new tab Citations (Scopus)1 Downloads (Pure) -
The dimension of planar elliptic measures arising from Lipschitz matrices in Reifenberg flat domains
Guillén Mola, I., Prats, M. & Tolsa Domènech, X., 12 Jul 2025, In: Analysis and Mathematical Physics. 15, 79 p., 106.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity
Prats, M., Jan 2024, In: Journal of Approximation Theory. 297, 39 p., 105985.Research output: Contribution to journal › Article › Research › peer-review
Open Access1 Link opens in a new tab Citation (Scopus)2 Downloads (Pure)
Thesis
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Distortion theorems for quasiconformal mappings
Prats, M. (Author), Tolsa Domenech, X. (Director), 2011Student thesis: Dissertation (TFM)
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Singular Integral Operators on Sobolev Spaces on Domains and Quasiconformal Mappings
Prats, M. (Author), Tolsa Domenech, X. (Director), 16 Oct 2015Student thesis: Doctoral thesis
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Distortion theorems for quasiconformal mappings
Prats Soler, M. (Author), Tolsa Domènech, X. (Director), 19 Sept 2011Student thesis: Final degree project (TFG)