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Francesco Ballarin
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        Francesco Ballarin is Full Professor of Numerical Analysis at the Faculty of Mathematical, Physical and Natural Sciences, Università Cattolica del Sacro Cuore.

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    affiliation
    contact
    events
    projects
    publications
    software
    students
    teaching

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        :doc:`Affiliation <affiliation>`
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        Full Professor of Numerical Analysis at the `Faculty of Mathematical, Physical and Natural Sciences <https://brescia.unicatt.it/facolta/scienze-matematiche-fisiche-e-naturali>`_, `Università Cattolica del Sacro Cuore <https://www.unicatt.it/>`_.
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        :doc:`Read more <affiliation>`

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        Research interests
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        * Numerical analysis
        * Reduced order modelling
        * Computational fluid dynamics
        * Open-source software development

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        :doc:`Contact <contact>`
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            :fas:`user;sd-text-primary` Francesco Ballarin
            :fas:`building-columns;sd-text-primary` `Università Cattolica del Sacro Cuore <https://www.unicatt.it/>`_
            :fas:`location-dot;sd-text-primary` `Department of Mathematics and Physics <https://dipartimenti.unicatt.it/dmf>`_, `via Garzetta 48, I-25133 Brescia, Italy <https://maps.google.com/?q=via Garzetta 48, I-25133 Brescia, Italy>`_
            :fas:`location-dot;sd-text-primary` `Department of Mathematics for Economic, Financial and Actuarial Sciences <https://dipartimenti.unicatt.it/dimsefa>`_, `via Necchi 9, I-20123 Milano, Italy <https://maps.google.com/?q=via Necchi 9, I-20123 Milano, Italy>`_
            :fas:`at;sd-text-primary` `francesco.ballarin@unicatt.it <mailto:francesco.ballarin@unicatt.it>`_
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        :doc:`Read more <contact>`


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    Highlights
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            <a href="https://www.unicatt.it/corsi/master-universitari/milano/Financial-Engineering-for-Portfolio-and-Risk-Management.html" target="_blank">Registration is now open for the new Master Programme on Financial Engineering for Portfolio and Risk Management at Università Cattolica del Sacro Cuore. Apply by September 15, 2026.</a>
        
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            <a href="https://euromathsoc.org/news/217" target="_blank">The FEniCS Project was awarded the 2026 EMS/ECMI Lanczos Prize (July 2026).</a>
        
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            <a href="https://arxiv.org/abs/2508.04082" target="_blank">New preprint on spectral deflation for optimal control problems with state constraints, by T. Kadeethum, F. Ballarin, Y. Choi, S. Lee (June 2026).</a>
        
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            <a href="https://www.mate.polimi.it/biblioteca/add/qmox/05-2026.pdf" target="_blank">New preprint on modelling drug-eluting stents by means of a fictitious domain formulation and hierarchical model reduction, by A. Ranno, F. Ballarin, F. Lespagnol, P. Zunino, S. Perotto (January 2026).</a>
        
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            <a href="https://qa.debian.org/developer.php?login=francesco.ballarin%40unicatt.it" target="_blank">I joined the Debian Project as Debian Developer (July 2025).</a>
        
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            <a href="https://centridiricerca.unicatt.it/mathex" target="_blank">I was appointed director of MATHEX, the research center of Università Cattolica on applications of mathematics and computer science (May 2025).</a>
        

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        :doc:`Software <software>`
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        * Lead developer of `RBniCS - reduced order modelling in FEniCS <https://www.rbnicsproject.org>`_, 2015-ongoing.
        * Lead developer of `multiphenics/multiphenicsx - easy prototyping of multiphysics problems in FEniCS/FEniCSx <https://multiphenics.github.io>`_, 2016-ongoing.
        * Lead developer of `FEMlium - interactive visualization of finite element simulations on geographic maps with folium <https://femlium.github.io>`_, 2021-ongoing.
        * Lead developer of `FEM on Colab/FEM on Kaggle <https://fem-on-colab.github.io>`_, 2021-ongoing.
        * Lead developer of `viskex - interactive visualization for firedrake and FEniCSx <https://viskex.github.io>`_, 2023-ongoing.
        
        
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        :doc:`Read more <software>`

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        :doc:`Publications <publications>`
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        :doc:`Read more <publications>`

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        :doc:`Teaching <teaching>`
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        * Lecturer for course on "`Data-driven Modelling for Mechanical Systems Summer School <https://people.iitism.ac.in/~d2mms/>`_". Summer school at Indian Institute of Technology (Indian School of Mines) Dhanbad, India (Jul. 2026).
        * Lecturer for course on "Stochastic processes and optimization for data science". Master degree in Data analytics for business, Università Cattolica del Sacro Cuore, Italy (Spring 2026).
        * Lecturer for course on "Elements of numerical analysis". Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Spring 2026).
        * Lecturer for course on "Stochastic processes and optimization for machine learning". Master degree in Data analytics for business, Università Cattolica del Sacro Cuore, Italy (Spring 2026).
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        :doc:`Read more <teaching>`

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        :doc:`Students <students>`
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        * Co-advisor in the Ph.D. thesis of Erika Temellini, "`Advanced mathematical models and methods for the incompressible Navier-Stokes equations: Towards high Reynolds number regimes and realistic applications <https://hdl.handle.net/10589/250257>`_". Ph.D. in Mathematical Models and Methods in Engineering, Politecnico di Milano, Italy (Feb. 2026).
        * Advisor in the master thesis of Ilaria Crippa, "Deep Learning Frameworks for Data Imputation in Forest Ecosystem Pollution Monitoring". Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Dec. 2025).
        * Advisor in the master thesis of Sveva Maria Martilotti, "Deep Learning for breast cancer diagnosis: a comparison of optimizers in a Convolutional Neural Network". Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Sep. 2025).
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        :doc:`Read more <students>`

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        :doc:`Events <events>`
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        * Talk, Simula 25 years - FEniCS workshop, Simula Research Laboratory, Oslo, Norway (8-9 Sep. 2026).
        * Organizing committee, `YoungPeople4Math 2026 <https://sites.google.com/unibs.it/semmat/youngpeople4math2026>`_, Brescia, Italy (12 May 2026).
        * Organizing committee, `FEniCS 2025 <https://fenicsproject.org/fenics-2025>`_, Groningen, The Netherlands (18-20 Jun. 2025).
        * Talk in a minisymposium, `XII International Conference on Adaptive Modeling and Simulation ADMOS 2025 <https://admos2025.cimne.com/>`_, Barcelona, Spain (9-11 Jun. 2025).
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        :doc:`Read more <events>`

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        :doc:`Projects <projects>`
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        * Member of "Metodi numerici avanzati per problemi di fluidodinamica computazionale", INdAM GNCS 2026, 2026.
        * Member and unit leader of "ROMEU: Reduced Order Models for Environmental and Urban flows", PRIN 2022 PNRR, 2023-2025.
        * Member of "Mathematical models for viscoelastic biological matter", PRIN 2022, 2023-2025.
        * Member of "Metodi numerici per lo studio di strutture geometriche parametriche complesse", INdAM GNCS 2023, 2023.
        
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        :doc:`Read more <projects>`