I am a Mathematician working at the interface of Optimization, Inverse Problems, Calculus of Variations and Mathematical Foundations of AI. I am a member of the Mathematics of Imaging & AI group (MIA) at the University of Twente.
My research is supported by
- NWO VIDI grant (2026- ) : “SPARGO: Exploring and Exploiting the Geometric Landscape of Infinite-Dimensional Sparse Optimization”. More information here.
- NWO M1 Open Competition grant (2024- ) : “Curve Ensemble Gradient Descent for Dynamic Problems”. More information here.
News:
- Apr 2026: I gave a talk at the Benelux Mathematical Congress (Antwerp) titled “Sparsity for dynamic variational problems with Optimal Transport regularization”
- Mar 2026: I gave a talk at GAMM 2026 (Stuttgart) titled “Atomic Gradient Flows: Gradient Flows on Sparse Representations”
- Mar 2026: New preprint: “Atomic Gradient Flows: Gradient Flows on Sparse Representations” with Christian Amend and Kostantinos Zemas
- Feb 2026: New preprint: “A Dual Certificate Approach to Sparsity in Infinite-Width Shallow Neural Networks” with Leonardo Del Grande and Christoph Brune
- Dec 2025: Our paper “A Lipschitz spaces view of infinitely wide shallow neural networks” has been accepted for publication in SIAM Mathematical Analysis
- Dec 2025: Our paper “Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons” has been accepted for publication in Calculus of Variations and Partial Differential Equations
Upcoming events:
- Jun 2026: I will give a talk at SIAM Optimization Conference 2026 in Edinburgh
- Jul 2026: I will participate to the CalcVarNL workshop in the Netherlands in Roermond
- Nov 2026: I will give a talk at Optimization in the Länd Workshop 2026 in Mannheim
Short CV:
- January 2022 - present: Assistant Professor at University of Twente
- April 2020 - December 2022: Newton International Fellow at University of Cambridge
- September 2017 - March 2020: Postoctoral researcher at KFU Graz
- March 2017 - August 2017: Postoctoral researcher at University of Würzburg
- April 2013 - July 2017: Ph.D in Mathematics, Max-Planck Institute for the Mathematics in the Sciences, Leipzig
Contact information:
Address: University of Twente,
Faculty of Electrical Engineering, Mathematics and Computer Science,
Zilverling 3010,
P.O. Box 217,
7500 AE Enschede, The Netherlands
Email: m.c.carioni@utwente.nl