Research Interests Harmonic analysis, geometric measure theory and partial differential equations.

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1 CV of Albert Mas Personal Information Birthdate: October, 24th of 1983 Birthplace: Mollet del Vallès, Barcelona (Spain) Citizenship: Spanish Id. number: D Occupation: Researcher Contact Matemàtica Aplicada I Edifici H (ETSEIB) Avda. Diagonal, Barcelona (Spain) amasblesa@gmail.com Research Interests Harmonic analysis, geometric measure theory and partial differential equations. Education PhD in Mathematics with European Mention, Universitat Autònoma de Barcelona (UAB), 09/ /2011. Thesis: Variation for Riesz transforms and analytic and Lipschitz harmonic capacities. Advisors: Mark Melnikov and Xavier Tolsa. GPA: 10.0/10.0, Excellent Cum Laude. Master s degree in Advanced Mathematics, UAB, 09/ /2007. Thesis: Local uniform approximation by rational functions, analytic capacity and Radó s theorem. Advisors: Mark Melnikov and Xavier Tolsa. GPA: 9.7/10.0. Degree in Mathematics, UAB, 09/ /2006. Thesis: Littlewood-Paley theory and Fourier series. Advisor: Artur Nicolau. GPA: 8.3/10.0. Research positions Researcher Juan de la Cierva, Matemàtica Aplicada I, Universitat Politècnica de Catalunya (UPC). Since 09/2014. Research Position supported by ERC Advanced Grant Geometric Analysis in the Euclidean Space (PI: Xavier Tolsa), Dep. de Matemàtiques, UAB. 09/ /2014. Research Position, Dep. de Matemáticas, Universidad del País Vasco (UPV/EHU). 10/ /2013. Research Assistant supported by FPU Grant, Dep. Matem., UAB. 05/ /2011. Short Research Visits Invited Researcher, Basque Center for Applied Mathematics (BCAM), Bilbao. Onemonth stay, 10 11/2014. Invited Researcher supported by FPU Grant, Department of Mathematics and Statistics, University of Helsinki. 04/ /2010. Certifications Positive evaluation by the Agency for the Quality of the University System in Catalonia (AQU) for the academic figure of Lector (Post-Dissertation Doctoral Teaching Assistant). Agència per a la Qualitat del Sistema Universitari de Catalunya, 02/2013. Positive evaluation by the Spanish Agency for Quality Assessment and Accreditation (ANECA) for the academic figure of Profesor Ayudante Doctor (Post-Dissertation Doctoral Teaching Assistant). Ministerio de Educación, Cultura y Deporte, 10/

2 Funding projects Grants ERC Advanced Grant, HADE Harmonic Analysis and Differential Equations: new challenges, European Research Council, IP: Luis Vega, BCAM y UPV/EHU. 12/ / e. Investigador. MTM , Ecuaciones en derivadas parciales: problemas de reacción-difusión, integrodiferenciales y geométricos, Ministerio de Economía y Copetitividad, Gobierno de España, PI: Xavier Cabré, ICREA and UPC e. Researcher. ERC Advanced Grant, Geometric analysis in the Euclidean space, European Research Council, PI: Xavier Tolsa, ICREA and UAB e. Researcher. IT , Partial differential equations, harmonic analysis and numerical analysis, Departamento de Educación, Universidades e Investigación, Gobierno Vasco, PI: Luis Vega, BCAM and UPV/EHU e. Researcher. MTM , Ecuaciones en derivadas parciales: problemas de reacción-difusión y problemas geométricos, Ministerio de Ciencia e Innovación, Gobierno de España, PI: Xavier Cabré, ICREA and UPC e. Researcher. MTM , Análisis geométrico en el espacio euclídeo, Ministerio de Ciencia e Innovación, Gobierno de España, PI: Xavier Tolsa, ICREA and UAB e. Researcher. 2009SGR , Grup d anàlisi harmònica i complexa, Departament d Universitats, Recerca i Societat de la Informació, Generalitat de Catalunya, PI: Joan Mateu, UAB e. Fellow. IT , Evolution equations, Fourier and numerical analyisis, Departamento de Educación, Universidades e Investigación, Gobierno Vasco, PI: Luis Vega, UPV/EHU e. Researcher. MTM , Las transformadas de Cauchy y de Riesz y la rectificabilidad, Ministerio de Ciencia e Innovación, Gobierno de España, PI: Xavier Tolsa, ICREA and UAB e. Researcher. 2005SGR-00774, Grup d anàlisi harmònica i complexa, Departament d Universitats, Recerca i Societat de la Informació, Generalitat de Catalunya, PI: Artur Nicolau, UAB e. Fellow. JCI , postdoctoral grant Juan de la Cierva, Ministerio de Economía y Competitividad, Gobierno de España, / /2017. Grant for a two-month stay at the Department of Mathematics and Statistics of the University of Helsinki, FPU program (fellowship AP ), / /2010. AP , PhD Fellowship of FPU program (Formación de Profesorado Universitario), Ministerio de Ciencia e Innovación, Gobierno de España, / /2011. Free-inscription grant for the Master s Degree on Advanced Mathematics, Departament de Matemàtiques, UAB, Teaching s support grant, Departament de Matemàtiques, UAB, / /2007. Teaching s support studentship, Dep. Matem., UAB, / /

3 Publications in indexed journals 1. N. Arrizabalaga, A. Mas, L. Vega, Shell interactions for Dirac operators: on the point spectrum and the confinement, SIAM J. Math. Anal. 47(2), A. Mas, X. Tolsa, Variation for the Riesz transform and uniform rectifiability, J. Eur. Math. Soc. 16(11), DOI /JEMS/ N. Arrizabalaga, A. Mas, L. Vega, Shell interactions for Dirac operators, J. Math. Pures et App. 102, A. Mas, Variation for singular integrals on Lipschitz graphs: L p and endpoint estimates, Trans. Amer. Math. Soc. 365(11), A. Mas, X. Tolsa, Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs, Proc. London Math. Soc. 105(1), A. Mas, M. Melnikov, X. Tolsa, A dual characterization of the C 1 harmonic capacity and applications, Duke Math. J. 153(1), See also A. Mas, M. Melnikov, X. Tolsa, Erratum to: A dual characterization of the C 1 harmonic capacity and applications, Duke Math. J. 153 (2010), 1 22, Duke Math. J. 157(2), A. Mas, Failure of rational approximation on some Cantor type sets, Proc. Amer. Math. Soc. 137(2), Preprints 1. A. Mas, X. Tolsa, L p -estimates for the variation for singular integrals on uniformly rectifiable sets, submitted. arxiv: pages. 2. N. Arrizabalaga, A. Mas, L. Vega, An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators, submitted. arxiv: pages. Books and chapters 1. N. Arrizabalaga, A. Fernández, A. Mas, S. Montaner, L. Potenciano, O. Rey, L. Urrutia, L. Vega, Una mirada a la mecánica cuántica, Editorial Académica Española (AV Academikerverlag GmbH & Co. KG.), ISBN A. Mas, Variation for Riesz transforms and analytic and Lipschitz harmonic capacities, Doctoral dissertation, Departament de Matemàtiques, UAB. Published with LAP Lambert Academic Publishing (currently AV Academikerverlag GmbH & Co. KG.) with the title Cauchy and Riesz transforms in geometric analysis, ISBN Surveys, proceedings and other publications 1. A. Mas, Variational inequalities for singular integral operators, Journées équations aux dérivées partielles, Exp. No. 7 (survey) A. Mas, M. Magdziarz, C. Klotz, C. Hemmelmeir, K. Borset, Strategies for darts, 21st ECMI modeling week, wgm.insa-rouen.fr/ moma/ecmi.html. Organization of seminars, conferences, courses and other scientific events Special Session Harmonic Analysis within the First Joint International Meeting RSME- SCM-SEMA-SIMAI-UMI, UPV/EHU. Co-organized with Marco Peloso (Università degli Studi di Milano). 30/06/ /07/2014. Mathematical analysis and applications seminar coordinator, Departamento de Matemáticas, UPV/EHU. 04/ /

4 Teaching Advanced course on PDE s for the Master on Advanced Mathematics and Engineering at the UPC, main teacher (coordinator) 02/ /2015. PDE s course for Mathematics at the UPC, 02/ /2015. Calculus course for Chemical Engineering at the UAB, 02/ /2011. Course on Mathematics for Environmental Sciences at the UAB, 09/ /2011. Initiation course on Mathematics for Engineering at the UAB, 09/2010. Calculus course for Engineering at the UAB, 09/ /2010. Initiation course on Mathematics for Engineering at the UAB, 09/2009. Teaching assistant at the UAB, 09/ /2005. Teacher training courses Time management, UAB. 15/02/ /02/2011. Guides for students, UAB. 22/11/ /11/2010. Evaluation systems, UAB. 16/11/ /11/2010. Introduction to coaching, UAB. 16/02/ /02/2010. Dynamic web pages: an intensive course, UAB. 25/01/ /02/2010. Scientific text processing with L A TEX: intensive course, UAB. 19/01/ /02/2009. Scientific presentations L p and weak-l 1 estimates for the variation of singular integrals on uniformly rectifiable measures, Congreso RSME 2015, Granada. 02/02/2015. L p and weak-l 1 estimates for the variation of singular integrals on uniformly rectifiable measures, Workshop on Harmonic Analysis, Partial Differential Equations and Geometric Measure Theory, ICMAT, Madrid. 13/01/2015. Interacciones sobre superficies para el operador de Dirac: espectro puntual y confinamiento, Encuentros de Análisis Real y Complejo 2014, Girona. Invited speaker, 23/05/2014. On shell interactions for Dirac operators: self-adjointness, point spectrum and confinement, Analysis of Relativistic and Nonrelativistic Models in Quantum Mechanics, University Sapienza, Rome. Invited speaker, 17/04/2014. Rational approximation, analytic capacity and gratings, Analysis seminar, UPV/EHU. 13/03/2014. On shell interactions for Dirac operators: self-adjointness, point spectrum and confinement, UB-UAB-CRM Barcelona analysis seminar, UAB. 20/01/2014. Shell interactions for Dirac operators and confinement, EDP s y Mecánica de Fluidos seminar, ICMAT, Madrid. 30/10/2013. Interacciones sobre superficies para el operador de Dirac, Segundo Congreso de Jóvenes Investigadores de la Real Sociedad Matemática Española, Universidad de Sevilla. 17/09/2013. Shell interactions for Dirac operators, Trimester on real harmonic analysis and applications to partial differential equations, ICMAT, Madrid. 16/04/

5 Shell interactions for Dirac operators, UB-UAB-CRM Barcelona analysis seminar, UAB. 08/04/2013. On self-adjoint extensions of the Dirac operator, UPV/EHU. Six-hour graduate level course, 11/2012. Variation for the Riesz transform and uniform rectifiability, 9th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial. 13/06/2012. Variational inequalities for singular integral operators, 39th Days on PDE, Biarritz. Invited speaker, 06/06/2012. Variational inequalities for singular integral operators, Analysis seminar, Universidad Autónoma de Madrid. 08/05/2012. Variation for Riesz transforms and uniform rectifiability, Analysis seminar, UPV/EHU. 20/01/2012. Variation for Riesz transforms and uniform rectifiability, ICREA Conference on Approximation Theory and Fourier Analysis, UAB. 16/12/2011. Variation for the Riesz transform and uniform rectifiability, Workshop on Quasiconformal Mappings and Mappings of Finite Distortion, Prague. 27/09/2011. Variation for Riesz transforms and analytic and Lipschitz harmonic capacities, Doctoral dissertation defense, UAB. 22/06/2011. Rational approximation and analytic capacity, Young researchers analysis seminar, Universitat de Barcelona. 15/06/2011. Variation for Riesz transforms and uniform rectifiability, UB-UAB-CRM Barcelona analysis seminar, UAB. 23/05/2011. Variation and oscillation for Cauchy and Riesz transforms on Lipschitz graphs, Primera jornada SCM de joves investigadors en matemàtiques, Societat Catalana de Matemàtiques, Barcelona. 05/11/2010. Oscillation and variation for Cauchy and Riesz transforms on Lipschitz graphs, Analysis seminar, University of Jyväskylä. 02/06/2010. Oscillation and variation for Cauchy and Riesz transforms on Lipschitz graphs, Geometric analysis seminar, University of Helsinki. 23/04/2010. Oscillation and variation for Cauchy and Riesz transforms on Lipschitz graphs, UB-UAB- CRM Barcelona analysis seminar, UAB. 22/03/2010. A dual characterization of the C 1 harmonic capacity and applications, ESF research conference on harmonic analysis, geometric measure theory and quasiconformal mappings, UAB. 15/06/2009. Failure of rational approximation on some Cantor type sets, UB-UAB-CRM Barcelona analysis seminar, UAB. 17/11/2008. Strategies for darts, 21st ECMI modeling week, Institut National des Sciences Appliquées (INSA), Rouen. 02/09/

6 Attendance to seminars, conferences, courses and other scientific events Trobada d EDPs i Aplicacions Girona 2015, Universitat de Girona, Girona (Catalunya). 02/07/2015. Geometric measure theory, optimal mass transportation and PDEs, Sant Feliu de Guíxols (Catalunya). 15/06/ /06/ th Workshop on Interactions between Dynamical Systems and Partial Differential Equations, UPC. 01/06/ /06/2015. Congreso RSME 2015, Granada. 02/02/ /02/2015. Workshop on Harmonic Analysis, Partial Differential Equations and Geometric Measure Theory, ICMAT, Madrid. 12/01/ /01/ Santaló Summer School: Dyadic Harmonic Analysis and Related Topics, RSME, EMS. Santander. 01/09/ /09/ th Workshop on Interactions between Dynamical Systems and Partial Differential Equations, UPC. 16/06/ /06/2014. Invited speaker to Encuentros de Análisis Real y Complejo 2014, Girona. 22/05/ /05/2014. Invited speaker to Analysis of Relativistic and Nonrelativistic Models in Quantum Mechanics, University Sapienza, Rome. 14/04/ /04/ th Itinerant meeting on PDE s, CRM Ennio De Giorgi, Scuola Normale Superiore, Pisa. 22/01/ /01/2014. Joint CRM-Isaac Conference on Fourier Analysis and Approximation Theory, UAB. 04/11/ /11/2013. BCAM Seminar Dirac Eguna: Physics and Mathematics of the Dirac equation, BCAM, Bilbao. 08/10/2013. Invited speaker to the Segundo Congreso de Jóvenes Investigadores de la Real Sociedad Matemática Española, Universidad de Sevilla. 16/09/ /09/2013. XIV Encuentros de análisis real y complejo, EARCO 2013, Teruel. 16/05/ /05/2013. Invited speaker to the Trimester on real harmonic analysis and applications to partial differential equations (04/ /2013), ICMAT, Madrid. 09/04/ /04/ th Itinerant meeting on PDE s, Rome. 09/01/ /01/ th international conference on harmonic analysis and partial differential equations, El Escorial. 11/06/ /06/2012. Invited speaker to 39th days on PDE, Biarritz. 04/06/ /06/2012. Harmonic and Complex Analysis and its Applications, Puerto de la Cruz, Tenerife. 05/03/ /03/ th Itinerant meeting on PDE s, Bilbao. 11/01/ /01/2012. ICREA Conference on Approximation Theory and Fourier Analysis, UAB. 12/12/ /12/2011. Workshop on Quasiconformal Mappings and Mappings of Finite Distortion, Prague. 24/09/ /09/

7 UB-UAB-CRM Barcelona analysis seminar. 09/ /2011. Oscillatory integrals in harmonic analysis, ICMS, Edinburgh. 06/06/ /06/2011. XIII Encuentros de análisis real y complejo, EARCO 2011, Zarautz. 05/05/ /05/2011. Short courses and workshop on spectral function theory, UAB. 14/03/ /03/2011. Primera jornada SCM de joves investigadors en matemàtiques, Societat Catalana de Matemàtiques, Barcelona. 05/11/2010. LMS harmonic analysis and PDEs workshop, ICMAT, Madrid. 16/09/ /09/2010. Harmonic analysis and applications: a conference in honor of the 70th birthday of Richard Wheeden, IMUS, Sevilla. 14/06/ /06/2010. Harmonic analysis international conference on the occasion of the 60th birthday of José García-Cuerva and 25th anniversary of his book with José Luis Rubio de Francia, El Escorial. 17/11/ /11/2009. ESF research conference on harmonic analysis, geometric measure theory and quasiconformal mappings, UAB. 14/06/ /06/2009. Four advanced courses on quasiconformal mappings, PDE and geometric measure theory, UAB. 03/06/ /06/2009. Advanced course on multilinear harmonic analysis and weights, UAB. 04/05/ /05/2009. Advanced course on harmonic analysis and PDE: fluid mechanics and Kato s problem, UAB. 09/03/ /03/2009. Conference on harmonic analysis and related topics, IMUS, Sevilla. 02/12/ /12/2008. Mathematical models in life and social sciences, Department of Pure and Applied Mathematics, University of L Aquila. 06/07/ /07/ th international conference on harmonic analysis and partial differential equations, El Escorial. 16/06/ /06/2008. Fall school on holomorphic dynamics, UB. 05/11/ /11/ st ECMI modeling week, Institut National des Sciences Appliquées (INSA), Rouen. 27/08/ /09/2007. Study groups of mathematics and technology (GEMT), UPC. 09/07/ /07/2007. Languages Catalan: High level talking, reading and writing. Spanish: High level talking, reading and writing. English: High level reading. Good level talking and writing. French: Good level reading. Basic level talking and writing. 7

8 Other merits Reviewer for Mathematical Reviews (MathSciNet). Since 12/2013 Webmaster of the Mathematical analysis and applications webpage of the Departamento de Matemáticas, UPV/EHU. 04/ /2013 Member of the Postgraduate Committee of the Departament de Matemàtiques and Representative of the postgraduate students, UAB. 09/ /2011 Programming in C, C++, Visual Basic, Maple. July,

Harmonic analysis, geometric measure theory, partial differential equations and quantum physics.

Harmonic analysis, geometric measure theory, partial differential equations and quantum physics. CV of Albert Mas Contact Departament de Matemàtiques Universitat Politècnica de Catalunya Avda. Diagonal, 647 08028 Barcelona (Spain) amasblesa@gmail.com https://mat-web.upc.edu/people/albert.mas.blesa