Albert Mas Blesa

Albert Mas Blesa

Lecturer Professor

ORCID: 0000-0002-8322-1663
Researcher ID: J-6103-2016
Knowledge area: Anàlisi Matemàtica

Contact Information
Department of Mathematics and Computer Science
Gran Vía 585, E-08007 Barcelona
934021650
albert.mas(a)ub.edu

Academic training

Degree in Mathematics . Universitat Autònoma de Barcelona . 12/09/2006 . (Diploma / Degree / Activities)
PhD in Mathematics with European Mention . Universitat Autònoma de Barcelona . 22/06/2011 . (Ph.D.)
Master in Advanced Mathematics . Universitat Autònoma de Barcelona . 30/06/2007 . (Official Master)

Participation in Projects

Harmonic Analysis and Differential Equations: New Challenges . 2015 - 2020 . Ref.669689 . Unió Europea . PI: Luis Vega González
Ecuaciones en derivadas parciales: problemas de reacción-difusión, integro-diferenciales y geométricos . 2018 - 2021 . Ref.MTM2017-84214-C2-1-P . Ministerio de Economia y Competitividad . PI: Xavier Cabre Vilagut
Espacios de funciones holomorfas y procesos de puntos . 2018 - 2021 . Ref.MTM2017-83499-P . Ministerio de Economia y Competitividad . PI: Joaquím Ortega-Cerdà
2017-SGR-358 . 2017 - 2019 . Ref.2017-SGR-358 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR). Generalitat de Catalunya. . PI: Maria del Carmen Cascante Canut

Relevant publications (Journal Publications and Other publications - last 10 years)

Arrizabalaga, N.; Mas, A.; Vega, L. (2014). Shell interactions for Dirac operators. Journal de Mathématiques Pures et Appliquées, 102, pp. 617 - 639 . ISSN: 0021-7824
Mas, A.; Tolsa, X. (2014). Variation for the Riesz transform and uniform rectifiability. Journal of the European Mathematical Society, 16(11), pp. 2267 - 2321 . ISSN: 1435-9855
Arrizabalaga, N.; Mas, A.; Vega, L. (2015). Shell interactions for Dirac operators: on the point spectrum and the confinement. SIAM Journal on Mathematical Analysis, 47(2), pp. 1044 - 1069 . ISSN: 0036-1410
Arrizabalaga, N.; Mas, A.; Vega, L. (2015). An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators. Communications in Mathematical Physics, pp. 1 - 23 . https://doi.org/10.1007/s00220-015-2481-y . ISSN: 0010-3616
Mas, A.; Tolsa, X. (2016). Lp-estimates for the variation for singular integrals on uniformly rectifiable sets. Transactions of the American Mathematical Society . ISSN: 0002-9947
Mas, A.; Pizzichillo, F. (2018). Klein's Paradox and the relativistic δ-shell interaction in R3. Analysis & Pde, 11(3), pp. 705 - 744 . ISSN: 1948-206X

Conferences and Participations in Congresses (last 10 years)

Mas, A. (2011). Variation for the Riesz transform and uniform rectifiability. (Invited conference) . Workshop on Quasiconformal Mappings and Mappings of Finite Distortion . Prague . CZECH REPUBLIC
Mas, A. (2012). Variational inequalities for singular integral operators. (Invited conference) . 39th 'Days on PDE' . Biarritz . FRANCE
Mas, A. (2012). Variation for the Riesz transform and uniform rectifiability. (Invited conference) . 9th International Conference on Harmonic Analysis and Partial Differential Equations . El Escorial . SPAIN
Mas, A. (2014). On shell interactions for Dirac operators: self-adjointness, point spectrum and confinement. (Invited conference) . Analysis of Relativistic and Nonrelativistic Models in Quantum Mechanics . Roma . ITALY
Mas, A. (2016). Electrostatic shell interactions for Dirac operators: an isoperimetric-type inequality. (Invited conference) . Geometrical aspects of spectral theory . Bilbao . SPAIN
Mas, A. (2017). The relativistic δ-shell interaction in R3 and its approximation by short range potentials. (Invited conference) . Congreso RSME . Zaragoza . SPAIN
Mas, A. (2017). The relativistic δ-shell interaction in R3 and its approximation by short range potentials. (Invited conference) . Linear and Nonlinear Dirac Equation: advances and open problems . Como . ITALY
Mas, A. (2017). The relativistic δ-shell interaction in R3 and its approximation by short range potentials. (Invited conference) . Encuentros de Análisis Real y Complejo . Santa Cruz de Tenerife . SPAIN
Mas, A. (2017). Shell interactions for Dirac operators and approximations by short-range potentials. (Invited conference) . Harmonic analysis, sepctral theory and PDEs . Roma . ITALY
Mas, A. (2018). Shape optimization problems for Schrödinger and Dirac operators. (Invited conference) . Harmonic analysis in winter . Madrid . SPAIN
Oscillation and variation for Cauchy and Riesz transforms on Lipschitz graphs . (Geometric analysis seminar). 23/04/2010. Helsinki. FINLAND
Oscillation and variation for Cauchy and Riesz transforms on Lipschitz graphs . (Analysis seminar). 02/06/2010. Jyväskylä. FINLAND
Shell interactions for Dirac operators and confinement . (Seminario de EDP's y Mecánica de Fluidos). 30/10/2013. Madrid. SPAIN
The Dirac operator and shell potentials on smooth surfaces in R^3 . (CEREMADE analysis-probability seminar). 23/11/2015. Paris. FRANCE
A shape optimization problem for the relativistic d-shell interaction in R^3 . (Seminar Angewandte Analysis und Numerische Mathematik). 06/07/2017. Graz. AUSTRIA