I did my Ph.D. at the Universitat de Barcelona. I was a PostDoc from 2008 to 2010 at the NTNU-Norway. I'm Associate professor in the Universitat de Barcelona. My research interests are in mathematical analysis in a broad sense.
Together with C. Beltrán, U. Etayo and J. Ortega-Cerdà we recently solved an important problem about well conditioned polynomials posed by M. Shub and S. Smale in 1993.
Personal webpage: http://www.maia.ub.es/~jmarzo/
- Well distributed points on manifolds.
- Random point processes.
- Interpolation and Sampling in reproducing kernel Hilbert spaces.
- Approximation Theory
MTM2017-83499-P, Espacios de funciones holomorfas y procesos de puntos, Ministerio de Economía, Industria y Competitividad, Gobierno de España, 2018-2021.
2017-SGR-358, Grup de teoria de funcions, Agència de Gestió d’Ajuts Universitaris i de Recerca, Generalitat de Catalunya, 2017-2019.
J. Marzo, A. Mas, Discrepancy of minimal Riesz energy points, Constr. Approx., 54, (2021), 473–506.
C. Beltrán, U. Etayo, J. Marzo, J. Ortega-Cerdà, A sequence of polynomials with optimal condition number, J. Amer. Math. Soc. 34, (2021), 219-244.
U. Etayo, J. Marzo, J. Ortega-Cerdà, Asymptotically optimal designs on compact algebraic manifolds, Monatsh. Math. Vol. 186, (2018) 2, 235-248.
J. Antezana, J. Marzo, J.-F. Olsen, Zeros of random functions generated with de Branges kernels, Int. Math. Res. Not. IMRN (2017), no. 8, 2284–2299.
C. Beltrán, J. Marzo, J. Ortega-Cerdà, Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres, J. of Complexity, Vol. 37 (2016), 76–109.