Mentoring

I supervise students in functional analysis, partial differential equations, variational methods, convex optimization and deep unfolding networks with applications in image processing, remote sensing and computer vision.

If you are a BSc/MSc/PhD student seeking a research internship or a student at UIB looking for a possible topic for your degree/master thesis, please contact me!

You can find below the list of PhD, undergraduate and visiting students I have supervised in research, and the MSc and BSc students whose thesis I have advised.

PhD students
2023 - present M. Francesc Alcover
Nonlocal theory for variational problems and partial differential equations
University of the Balearic Islands
Co-advised with Dr. Catalina Sbert
2023 - present Daniel Torres
Combining variational models and deep learning for image processing problems
University of the Balearic Islands
2021 - present Iván Pereira-Sánchez
Deep variational learning for multi-image super-resolution
University of the Balearic Islands
Co-advised with Dr. Julia Navarro
Undergraduate research students
09/2022 - present Frank W. Hammond
Nonlinear analysis for nonlocal variational models in image processing
Student of the BSc in Mathematics at University of the Balearic Islands
09/2022 - 07/2023 Marc Tomás
Deep unfolding networks for satellite image fusion
Student of the double BSc in Mathematics and Telematics Engineering at University of the Balearic Islands
09/2021 - 07/2022 M. Francesc Alcover
Nonlocal vector calculus with applications to image processing
Student of the BSc in Mathematics at University of the Balearic Islands
09/2020 - 07/2021 Maria Mulet and Guillem Serra
Introduction to graph neural networks
Students of the BSc in Mathematics at University of the Balearic Islands
09/2020 - 07/2021 Cristian Comellas
Deep neural networks for image decompression
Student of the BSc in Computer Engineering at University of the Balearic Islands
09/2019 - 07/2020 Ginés Carreto and Martí Gelabert
Deep neural networks for image denoising
Students of the BSc in Computer Engineering at University of the Balearic Islands
Visiting research students
06/2020 - 08/2020 Bernat Ramis
Variational video deblurring
Visiting BSc student from the Polytechnic University of Catalonia
05/2019 - 07/2019 Antoine Reynaert
Processing time optimization of variational optical flow
Visiting MSc student from the Grenoble Institute of Technology
MSc thesis
2020 Iván Pereira
Completació de vídeo a partir de la distribució espaciotemporal de patches
MSc in Advanced Physics and Applied Mathematics at University of the Balearic Islands
Co-advised with Prof. Bartomeu Coll
BSc thesis
2023 Josep Matemales
Mètodes variacionals amb aprenentatge profund per a la fusió d'imatges satèl·lit (with honors)
BSc in Mathematics at University of the Balearic Islands
Co-advised with Dr. Julia Navarro
2023 Miquel Lladó
Càlcul variacional en espais de Sobolev i extensions al principi de Dirichlet no-local
BSc in Mathematics at University of the Balearic Islands
2022 M. Francesc Alcover
Classical functional analysis and a new nonlocal BV space (with honors)
BSc in Mathematics at University of the Balearic Islands
Co-advised with Dr. Catalina Sbert
2022 Daniel Torres
Anàlisi i optimització convexa amb aplicacions al processament d'imatges
BSc in Mathematics at University of the Balearic Islands
Co-advised with Prof. Bartomeu Coll
2022 Andreu Reviriego
Introducció a l'aprenentatge automàtic i als seus mètodes d'optimització
BSc in Mathematics at University of the Balearic Islands
Co-advised with Prof. Antoni Buades
2021 Catalina V. Molina
Equacions en derivades parcials per al processament digital d'imatges
BSc in Mathematics at University of the Balearic Islands
Co-advised with Dr. Catalina Sbert
2021 Joana Cáceres
Análisis multivariante de datos para procesamiento de imágenes
BSc in Mathematics at University of the Balearic Islands
Co-advised with Dr. Catalina Vich
2018 Ramon Oliver-Bonafoux
Convex variational methods and optimization techniques for image processing (with honors)
BSc in Mathematics at University of the Balearic Islands
Co-advised with Prof. Bartomeu Coll