Zilverling

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

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

    • Total Variation
    • Regularization
    • Extremal Point
    • Seminorm
    • Conditionals
    • PDE
    • Extreme Points
    • Fractional Laplacian

Organisations

Publications

2026

A Lipschitz spaces view of infinitely wide shallow neural networks (2026)SIAM journal on mathematical analysis, 58(3), 2786-2828. Bartolucci, F., Carioni, M., Iglesias, J. A., Korolev, Y., Naldi, E. & Vigogna, S.https://doi.org/10.1137/24M1718615Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising (2026)Journal of nonlinear science, 36(1). Article 13. Cristoferi, R., Ferreira, R., Fonseca, I. & Iglesias, J. A.https://doi.org/10.1007/s00332-025-10227-7Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons (2026)Calculus of Variations and Partial Differential Equations, 65(2). Article 39. Carioni, M., Del Grande, L., Iglesias, J. A. & Schönberger, H.https://doi.org/10.1007/s00526-025-03205-0Manifold limit for the training of shallow graph convolutional neural networks (2026)[Working paper › Preprint]. ArXiv.org. Tengler, J., Brune, C. & Iglesias, J. A.https://doi.org/10.48550/arXiv.2601.06025Conditional gradients for total variation regularization with PDE constraints: A graph cuts approach (2026)Computational optimization and applications, 93(1), 209–265. Cristinelli, G., Iglesias, J. A. & Walter, D.https://doi.org/10.1007/s10589-025-00699-4

2025

Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons (2025)[Working paper › Preprint]. Carioni, M., Grande, L. D., Iglesias, J. A. & Schönberger, H.On extremal points for some vectorial total variation seminorms (2025)ESAIM: Control, Optimization and Calculus of Variations, 31. Article 92. Bredies, K., Iglesias, J. A. & Walter, D.https://doi.org/10.1051/cocv/2025078Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators (2025)[Working paper › Preprint]. ArXiv.org. Dummer, S., Heeringa, T. J. & Iglesias, J. A.https://doi.org/10.48550/arXiv.2509.26371Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes (2025)SIAM journal on scientific computing, 47(3), A1604-A1627. Chen, H., Dong, G., Iglesias, J. A., Liu, W. & Xie, Z.https://doi.org/10.1137/24M1681409Linear convergence of a one-cut conditional gradient method for total variation regularization (2025)[Working paper › Preprint]. ArXiv.org (Submitted). Cristinelli, G., Iglesias, J. A. & Walter, D.https://doi.org/10.48550/arXiv.2504.16899

Research profiles

Address

University of Twente

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

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