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E-mail albert.mas.blesa@upc.edu
Position Associate Professor
Research interests Analysis & PDE
Group Analysis And Partial Differential Equations
Mas Blesa, Albert
Biosketch

PhD in Mathematics with European Mention under the direction of Mark Melnikov and Xavier Tolsa at Universitat Autònoma de Barcelona (2011). Postdoctoral research positions at Universidad del País Vasco (2011-2013, scientific collaboration with Luis Vega), at Universitat Autònoma de Barcelona (2014, scientific collaboration with Xavier Tolsa), and at Universitat Politècnica de Catalunya as a "Juan de la Cierva" researcher (2015-2016, scientific collaboration with Xavier Cabré and Joan Solà-Morales). Professor Lector (Assistant Professor) at Universitat de Barcelona (2017-2018). Professor Agregat (Associate Professor) at Universitat Politècnica de Catalunya (since 2019).

Personal webpage: https://web.mat.upc.edu/albert.mas.blesa

Other Research Interests
  • Elliptic partial differential equations
  • Relativistic quantum physics
  • Harmonic analysis
  • Geometric measure theory
Projects

PID2021-123903NB-I00, Ecuaciones en Derivadas Parciales: problemas de reacción-difusión,
integro-diferenciales, y de la física matemática, Ministerio de Ciencia e Innovación,
Gobierno de España, 2022. PI: Xavier Cabré (ICREA and UPC) and Albert Mas (UPC).
2022–2026. 137800 e. Principal Investigator.

2021-SGR-00087, Teoria de Funcions i Equacions en Derivades Parcials, Agència de Gestió
d’Ajuts Universitaris i de Recerca, Generalitat de Catalunya, 2023. PI: Maria del Carmen
Cascante Canut (UB). 2022–2024. 60000 e. Researcher.

Selected publications

Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods.
X. Cabré, G. Csató, A. Mas.
J. reine angew. Math. (2023).

Eigenvalue curves for generalized MIT bag models.
N. Arrizabalaga, A. Mas, T. Sanz-Perela, L. Vega.
Commun. Math. Phys. (2022).

Klein's Paradox and the relativistic delta-shell interaction in R^3.
A. Mas, F. Pizzichillo.
Anal. & PDE, Vol. 11 (2018), No. 3, 705-744.

An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators.
N. Arrizabalaga, A. Mas, L. Vega.
Commun. Math. Phys. 344 (2016), 483-505.

Variation for the Riesz transform and uniform rectifiability.
A. Mas, X. Tolsa.
J. Eur. Math. Soc. 16(11) (2014), 2267-2321.

Shell interactions for Dirac operators.
N. Arrizabalaga, A. Mas, L. Vega.
J. Math. Pures Appl. 102 (2014), 617-639.