Dr. rer. nat. J. A. Iglesias Martínez (José)

Assistant Professor
EEMCS-AM-MIA
Zilverling 2102
jose.iglesias@utwente.nl
+31534899773
Business card

Since January 2022 I am an assistant professor (UD) in the Department of Applied Mathematics of UT within the group Mathematics of Imaging and AI (MIA).

My main research interests are in analytic (mostly variational) methods for inverse problems in imaging, shape analysis and machine learning. The approaches I am involved in tend to have a geometric flavor, either in the domain of definition of the functions involved or in the convex geometry arising from the minimization problems.

After studying for MSc degrees in both pure mathematics and telecommunication engineering in Madrid, I obtained my doctoral degree in mathematics in the University of Vienna in 2015. While working as a postdoctoral research scientist in the Radon Institute for Computational and Applied Mathematics in Linz, I received a habilitation degree (also from the University of Vienna) in 2021 with a thesis entitled "Applications of geometric variational problems to shape analysis, inverse problems and viscoplastic fluids".

Personal webpage: https://jose-a-iglesias.bitbucket.io/

Expertise

  • Mathematics

    • Extremal Point
    • Total Variation
    • Variations
    • Order
    • Regularization

  • Earth and Planetary Sciences

    • Ball
    • Characterization
    • Variation

Organisations

Publications

2024
On extremal points for some vectorial total variation seminorms. ArXiv.org. Bredies, K., Iglesias, J. A. & Walter, D.https://doi.org/10.48550/arXiv.2404.12831Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes. ArXiv.org. Chen, H., Dong, G., Iglesias, J. A., Liu, W. & Xie, Z.https://doi.org/10.48550/arXiv.2402.12173
2023
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms (E-pub ahead of print/First online). Carioni, M., Iglesias, J. A. & Walter, D.https://doi.org/10.1007/s10208-023-09634-7Conditional gradients for total variation regularization with PDE constraints: a graph cuts approach. ArXiv.org. Cristinelli, G., Iglesias, J. A. & Walter, D.https://doi.org/10.48550/arXiv.2310.19777Boundedness and Unboundedness in Total Variation Regularization, Article 51. Bredies, K., Iglesias, J. A. & Mercier, G.https://doi.org/10.1007/s00245-023-10028-yDyadic partition-based training schemes for TV/TGV denoising. ArXiv.org. Davoli, E., Ferreira, R., Fonseca, I. & Iglesias, J. A.https://doi.org/10.48550/arXiv.2305.07150
2022
Convergence of level sets in fractional Laplacian regularization, Article 124003. Iglesias, J. A. & Mercier, G.https://doi.org/10.1088/1361-6420/ac9805Extremal points and sparse optimization for generalized Kantorovich-Rubinstein norms, 1-32. Carioni, M., Iglesias, J. A. & Walter, D.Extremal points of total generalized variation balls in 1D: characterization and applications, 1251-1290. Iglesias, J. A. & Walter, D.https://www.heldermann.de/JCA/JCA29/JCA294/jca29068.htmExtremal points of total generalized variation balls in 1D: characterization and applications. ArXiv.org. Iglesias, J. A. & Walter, D.https://doi.org/10.48550/arXiv.2112.06846

Research profiles

Address

University of Twente

Zilverling (building no. 11), room 2102
Hallenweg 19
7522 NH Enschede
Netherlands

Navigate to location

Organisations

Scan the QR code or
Download vCard