My field of expertise covers various aspects of Applied Mathematics

including Partial Differential Equations (PDE), Numerical Analysis, Control and Data Sciences. These interconnected fields have as goal the modelling, analysis, computer simulation and control and design of natural phenomena and engineering processes arising in several contexts of R+D+i.

Analysis of Partial Differential Equations (PDE)

Control of diffusion models arising in Biology and Social Sciences

Modeling and control of multi-agent systems

Hyperbolic models arising in traffic flow and energy transport

Fractional PDE

Optimal design in Material Sciences

Micro-macro limit processes

The interplay between discrete and continuous modelling in design and control

The emergence of turnpike phenomena in long-time horizons

Inversion and parameter identification

Development of new computation tools and software

Waves in heterogeneous media: discrete and continuous

Optimal placement of sensors and actuators

Interactions with Industry

I had also the opportunity to work and run a numerous research projects in close collaboration with industry:

Aeronautics optimal design

In collaboration with my former PhD student Francisco Palacios (The Boeing Company, Long Beach, CA) I developed an intensive research agenda in aeronautic optimal design and numerical analysis with connections with industry and in particular the Airbus Consortium. This research has lead to the development of the new software Stanford University Unstructured – SU2

Electrical Networks

I was the PI of a joint industrial research project with the Arteche Group to develop computational software for parameter identification of electrical networks from onsite measurements.

Fluid Dynamics

I contributed to launch the research group in Computational Fluid Dynamics of Baltogar company

Research & Innovation

I had the honour of collaborating with Eibar City Hall in the development of dissemination activities on Research and Innovation

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Date: Fri. October 22, 2021 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Analysis of gradient descent on wide two-layer ReLU neural networks Speaker: Dr. Lénaïc Chizat Affiliation: EPFL, École Polytechnique Fédérale de Lausanne […]
Date: Wed. October 13, 2021 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Towards the optimization of optical properties of particulate products Speaker: Prof. Dr. Michael Stingl Affiliation: Department of Mathematics, Chair of Applied […]
Date: Fri. October 08, 2021 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: On solving/learning differential equations with kernels Speaker: Prof. Dr. Houman Owhadi Affiliation: Caltech (USA) Abstract. We present a simple, rigorous, and […]
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