Fields of interest:

• Well distributed points on the Sphere and other manifolds
• Random point processes
• Sampling and Interpolation

Education:

• B. Sc. Llicenciatura en Matemàtiques and DEA
  Universitat de Barcelona. September 2004
• Ph. D. Universitat de Barcelona
  Title: Sampling sequences in spaces of bandlimited functions in several variables
  Advisor: Joaquim Ortega-Cerdà
  April 2008
• PostDoc. Norwegian University of Science and Technology, NTNU, Trondheim, Norway
  September 2008-September 2010

Scientific papers:

• "Linear statistics of determinantal point processes and norm representations", with Matteo Levi and Joaquim Ortega-Cerdà, Int. Math. Res. Notices vol. 19, pp. 12869-12903, 2024.
• "QMC strength for some random configurations on the sphere", with Victor de la Torre, in A. Hinrichs, P. Kritzer, F. Pillichshammer (eds.). Monte Carlo and Quasi-Monte Carlo Methods 2022. Springer Verlag
• "Expected energy of zeros of elliptic polynomials", with Victor de la Torre, Constr Approx 2024
• "Necessary Conditions for Interpolation by Multivariate Polynomials", with Jorge Antezana and Joaquim Ortega-Cerdà, Comput. Methods Funct. Theory, 21, (2021), 831–849
• "Discrepancy of minimal Riesz energy points", with Albert Mas, Constr. Approx., 54, (2021), 473–506.
• "A sequence of polynomials with optimal condition number", with Carlos Beltrán, Ujué Etayo and Joaquim Ortega-Cerdà. J. Amer. Math. Soc. 34, 219-244, 2021
• "Punts d'energia mínima i empaquetaments d'esferes", Butlletí de la Societat Catalana de Matemàtiques, 34, 2, 153-168 2019.
• "Asymptotically optimal designs on compact algebraic manifolds", with Ujué Etayo and Joaquim Ortega-Cerdà. Monatsh. Math. 186, no. 2, 235-248, 2018
• "Expected Riesz energy of some determinantal processes on flat tori", with Joaquim Ortega-Cerdà. Const. Approx., 47, 1, pp 75-88, 2018
• "Equidistribution and beta ensembles", with Tom Carroll, Xavier Massaneda and Joaquim Ortega-Cerdà. Ann. Fac. Sci. Toulouse Math. (6) 27, no. 2, 377-387, 2018.
• "Zeros of random functions generated with de Branges kernels", with Jorge Antezana and Jan-Fredrik Olsen. Int. Math. Res. Notices, Volume 2017, Issue 8, 2017.
• "Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres", with Carlos Beltrán and Joaquim Ortega-Cerdà. J. of Complexity, Vol. 37 (2016) 76–109. Co-winner of the 2016 Best Paper Award in the Journal of Complexity.
• "Uniformly bounded orthonormal polynomials on the sphere", with Joaquim Ortega-Cerdà. Bull. London Math. Soc. 47 (2015) 883-891.
• "Sufficient conditions for sampling and interpolation on the sphere", with Bharti Pridhnani. Constr. Approx. 40, 2 (2014) 241-257.
• "Gap probabilities for the cardinal sine", with Jorge Antezana, Jeremiah Buckley and Jan-Fredrik Olsen. J. Math. Anal. and Appl., 396, 2 (2012) 466-472.
• "Sampling and interpolation in de Branges spaces with doubling phase", with Shahaf Nitzan and Jan-Fredrik Olsen. J. d'Anal. Math., 117, 1 (2012) 365-395.
• "Linfty to Lp constants for Riesz projections", with Kristian Seip. Bulletin des Sciences Mathématiques, 135 (2011), 324-331.
• "Com repartir punts uniformement en esferes?", Butlletí de la Societat Catalana de Matemàtiques, 26, 1 (2011), 57-68
• "Equidistribution of the Fekete points on the sphere", with Joaquim Ortega-Cerdà. Constructive Approximation, 32, 3, 513-521, 2010.
• "Pointwise estimates for the Bergman kernel of the weighted Fock space", with Joaquim Ortega-Cerdà. Journal of Geometric Analysis, 19, 4, 890-910, 2009.
• "The Kadets 1/4 theorem for polynomials", with Kristian Seip. Math. Scand. 104 No. 2, 311-318, 2009.
• "Equivalent norms for polynomials on the sphere", with Joaquim Ortega-Cerdà. Int. Math. Res. Not. IMRN, no. 1, Art. ID rnm154, 18 pp. 2008.
• "Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics". J. Funct. Anal. 250 no. 2, 559-87, 2007.
• "Riesz basis of exponentials for a union of cubes in Rd" 2006.

Scientific meetings:

• Member of Organizing Committee of Komplex Analysis Winter School 3 (KAWA 3) Barcelona 2012
• Member of Organizing Committee of Komplex Analysis Winter School 4 (KAWA 4) Toulouse-Albi 2013
• Member of Organizing Committee of Komplex Analysis Winter School 5 (KAWA 5)-NORDAN CIRM, Marseille 2014
• Member of Organizing Committee of Komplex Analysis Winter School 6 (KAWA 6)-EMS Summer School Centro de Giorgi, Pisa 2015
• Organizer of a Special Session "Universal Sampling, Fourier Frames and Riesz Bases of Exponentials" in the 11th International Conference Sampling Theory and Applications SampTA Washington, EEUU, May, 2015
• Member of Organizing Committee of the CIMPA School Random processes and optimal configurations in analysis Buenos Aires, Argentina, July 2015
• Member of Organizing Committee of Komplex Analysis Winter School 7 (KAWA 7) Toulouse, March, 2016
• Member of Organizing Committee of the Barcelona Analysis Conference, BAC-16 Barcelona, Spain, September 2016
• Member of Organizing Committee of the Optimal Point Configurations and Orthogonal Polynomials 2017 Castro Urdiales, Spain, April 2017
• Member of Organizing Committee of the Geometric Function Theory in Fluid Mechanics, Universitat de Barcelona, BGSMath, Barcelona, July 2018
• Member of Organizing Committee of the Optimal Point Configurations and Potential Theory, CIEM, Castro Urdiales, April 2019
• Member of Organizing Committee of the Barcelona Analysis Conference, BAC19, Universitat de Barcelona, June 2019
• Coordinator of the Barcelona Analysis Seminar UB-UAB. 2016-2021
• Member of Organizing Committee of the Random and Deterministic Point Configurations. Lluís Santaló School 2022, 11-15 July 2022, Palacio de la Magdalena, Santander
• Member of Organizing Committee of the XXI Encuentros de Análisis Real y Complejo, 25-27 May 2023, Jarandilla de la Vera, Cáceres

Talks and seminars:

• Barcelona Analysis Seminar UB-UAB. Sampling and interpolation in some de Branges spaces. 01/02/2010
• Analysis seminar NTNU (Norway). Sampling and interpolation in some de Branges spaces. 01/03/2010
• Analysis seminar Lund University (Sweden). Marcinkiewicz-Zygmund inequalities and Fekete points. 26/05/2010
• Marcinkiewicz-Zygmund inequalities and Fekete arrays on the sphere. Optimal configurations on the sphere and other manifolds (25th Shanks Lecture). Nashville, United States, 2010 (18/05/2010)
• Sampling and interpolation in de Branges spaces. Primera Trobada Matemàtica Catalano-Sueca, SCM. Barcelona, 2010 (18/10/2010)
• Analysis seminar Université Paul Sabatier (Toulouse). L\infty to Lp constants for Riesz projections. 25/10/2010
• A sufficient condition for Marcinkiewicz-Zygmund inequalities in terms of the mesh norm. I Jaen Conference on Approximation Theory. Úbeda, Jaen, 2010 (06/07/2010)
• L\infty to L^p constants for Riesz projections. Workshop Complex Analysis, Differential Equations, and Applications CADEA. Trondheim, Norway, 2010 (01/10/2010)
• Digitalització del senyal i punts ben distribuïts. Tretzena Trobada Matemàtica, Joves matemàtics catalans al món, Societat Catalana de Matemàtiques, SCM. Barcelona, junio, 2010 (11/06/2010)
• L\infty to L^p constants for Riesz projections. Trobada de joves investigadors catalans, SCM. Barcelona, noviembre, 2010 (05/11/2010)
• CRM seminar research programme on Complex analysis and spectral problem. Hole probabilities for GAFs with real coefficients. 28/04/2011
• Gap probabilities for the cardinal sine. Harmonic and Complex Analysis and its Applications HCAA 2012. Puerto de la Cruz, Tenerife, Canary Islands, 2012 (06/03/2012)
• Seminario Instituto Argentino de Matemática IAM-CONICET. Sucesiones de interpolación y sampling en espacios de de Branges. 21/12/2012
• Random zeros of de Branges Gaussian Analytic Functions. RSME 2013. Santiago de Compostela, 2013 (23/01/2013)
• Barcelona Analysis Seminar UB-UAB. Sufficient conditions for Sampling and Interpolation on the Sphere. 02/06/2014
• Sufficient conditions for Sampling and Interpolation on the Sphere. Conference: V Jaen Conference on Approximation Theory. Úbeda, Jaén, Spain, June 23rd-26th, 2014 (23/06/2014)
• Uniformly bounded sets of orthonormal polynomials on the sphere. ESI Workshop on "Minimal Energy Point Sets, Lattices, and Designs". Vienna, Austria, 2014 (13/10/2014)
• SEMINARIO MATESCO Universidad de Cantabria. Distribución de puntos en variedades. 27/02/2015
• Analysis seminar Lund University (Sweden). Random points on the sphere. 07/12/2015
• Barcelona Analysis Seminar UB-UAB. Random points on the sphere. 21/12/2015
• Determinantal point processes and Riesz energies. Conference on Harmonic Analysis and Approximation Theory, HAAT2016, CRM, Bellaterra, 10/06/2016.
• Random points on the sphere. First Workshop on Complex Analysis and Operator Theory WSCAOT-2016, Málaga, España, 2016
• Equidistribution and beta-ensembles. Czech, Slovenian, Austrian, Slovak and Catalan Mathematical Societies joint meeting, CSASC2016, Barcelona, 22/09/2016
• Asymptotically optimal designs on compact algebraic manifolds, Fourth Summer School in Complex Analysis and Operator Theory, Leganés, 15/06/2017.
• Asymptotically optimal Chebyshev-type quadratures on compact algebraic manifolds, Approximation Theory and Function Spaces (A follow-up), CRM, Bellaterra, 29/06/2017
• Small designs on compact algebraic manifolds, Foundations of Computational Mathematics FOCM 2017, Barcelona, 18/07/2017
• Random point processes and well distributed points, XVIII Encuentros de Análisis Real y Complejo, EARCO 2018, Málaga, 18/05/2018
• Determinantal Point Processes and Optimality, International Conference in Monte Carlo & Quasi- Monte Carlo Methods in Scientific Computing, MCQMC 2018 Rennes, 2/07/2018
• Polynomials with optimal condition number, Fifth Summer School in Complex Analysis and Operator Theory CAOT19, Cullera, España, 13/05/2019
• Discrepancy of Minimal Riesz Energy Points, International Congress on Industrial and Applied Mathematics , ICIAM2019, Valencia, España, 16/07/2019
• Transport Plans and Equidistribution, International Workshop on Operator Theory and its Applications, IWOTA2019, Lisboa, Portugal, 25/07/2019
• Barcelona Analysis Seminar UB-UAB. Bounds for the discrepancy of energy minimizers. 02/03/2020
• Point Distributions Webinar. Quadrature rules, Riesz energies, discrepancies and elliptic polynomials. 04/08/2021
• Corona Seminar: Inequalities on Function Spaces of Smooth Functions. Zeros of random SU(2) polynomials and well conditioned polynomials. 03/03/2022
• Seminario del Grupo de Análisis Matemático Aplicada (GAMA). Polynomials with optimal condition number. Universidad Carlos III de Madrid. 31/03/2022
• Zeros of random elliptic polynomials: condition number and extremal energies. Randomness in Complex Analysis and Complex Geometry Workshop. 12-17 June, 2022 Nesin Mathematics Village, Şirince-İzmir, Turkey, 2022
• QMC designs and random point configurations, 15th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing MCQMC202218/07/2022, Linz, Austria
• Discrepancy and covering radius of random point configurations on the sphere Sphere packings, coverings, and spherical codes SPCSC2023, Sofia, Bulgaria
• Fluctuations of linear statistics of determinantal point processes, Discussion Meeting on Probability, Convex Geometry and Complex Variables, Jan 04-09, 2024, TIFR-CAM, Bengaluru, India
• Minimal logarithmic energy and Sobolev discrepancy, Joint Meeting IMU-AMS July 2024, Palermo, Italy
• Linear statistics of point processes and norm representations, Randomness in Complex Analysis and Complex Geometry, 9-13 September, 2024, Nesin Mathematics Village, Şirince-İzmir, Turkey