I am an Assistant Professor in Computing and Mathematical Sciences at Caltech and the AIMS-Carnegie Research Chair in Data Science at AIMS Rwanda. I was previously a Bonn Junior Fellow with the Hausdorff Center for Mathematics at Rheinische Friedrich-Wilhelms-Universität Bonn, Germany.  Currently, I am a member of the Institute of Applied Mathematics (IAM), and I serve on the Steering Committee of the Transdisciplinary Research Area 1 “Modelling” at University of Bonn, as well as serving as Program Director of the new Doctoral Training Program in Data Science (DTP-DS) at Quantum Leap Africa (QLA), AIMS Rwanda.

From 2017 to 2020, I was a Von Karman Postdoctoral Instructor in Applied and Computational Mathematics at the Department of Computing and Mathematical Sciences, California Institute of Technology (Caltech) in Pasadena, USA.

In July 2017, I completed my PhD at the Cambridge Centre for Analysis (CCA) Doctoral Training Centre, University of Cambridge and Imperial College London, under the supervision of Prof. José A. Carrillo and Prof. Clément Mouhot. A copy of my thesis can be downloaded here. I’m honoured to have received the 2016 Imperial College Outstanding Student Achievement Award.

Have a look here for a short video about some of my PhD research to a non-mathematical audience, presented at the finals of the 3-Minute-Thesis Competition 2016, Imperial College London. For a one hour seminar about my PhD research, click here.

My research interests lie at the interface of model-driven and data-driven approaches.

      • Mathematical Tools for PDE Analysis: This part of my research focuses on partial differential equations and their applications. My current interests are among others non-linear drift-diffusion equations, kinetic theory, many particle systems, gradient flows, entropy methods, optimal transport, functional inequalities, parabolic and hyperbolic scaling techniques, hypocoercivity and diffusive models in mathematical biology.

      • Mathematical Tools for Data Analysis: I am interested in developing rigorous mathematical tools for data analysis in the context of  inverse problems, Bayesian inference and machine learning, unsupervised and semi-supervised learning, focusing on data clustering and classification, graph Laplacians and their continuum counterparts, spectral analysis, uncertainty quantification and consistency analysis.

I believe that it is not just about what mathematical analysis can do for applications, but also what applications can do for mathematics. Applications that benefit from a PDE approach often generate new questions giving rise to novel mathematical theories, and thus providing insights not just for the application at hand, but also enabling to push boundaries in seemingly unrelated fields. I am interested in how PDE techniques can be employed to answer modeling questions across different scales, disciplines and applications. For more details about my research, have a look here.

Upcoming Events & Deadlines



Caltech Campus, picture taken on my day of arrival at this beautiful place.

7 thoughts on “About

  1. Stephen MacDonald

    Hello Franca,
    I am writing today after researching ARPA-E solicitations. I came across one that I believe you were associated with “SCALABLE DISTRIBUTED AUTOMATION SYSTEM”. I am curious as I don’t see the work on this website; a) are you apart of this work, and b) where could I go to review the analysis?
    Kind regards,


    1. francahoffmann Post author

      thanks for getting in touch. I am not associated with this program. I suggest to get in touch with Prof. Steven Low as I believe he is the program contact, or at least will be able to point you in the right direction.


      1. Dr. Musah Sulemana

        Dear Prof. Franca,
        My regards. I applied to participate in Hausdorff School on Computational Combinatorial Optimization scheduled at September 12-16, 2022 at Bonne, Germany. As part of the application, I was instructed to include a referee but should not request for recommendation letter from the referee immediately. Please, I want to find out when the recommendation letter will be needed since this will support my application. I really want to build my capacity in Computational Combinatorial Optimization and would not want to miss this opportunity.
        Thank you.

        Dr. Musah Sulemana
        Acting Head, Department of Mathematics
        University for Development Studies


  2. Dr Sathish Kumar

    Greetings from IIST, India. We have opened new dept of AIML, as a part of curriculum design and suggestions we can to make you our academic colloborator. Please revert us back.

    Dr. Sathish Kumar
    Associate Professor & Head
    AIML Dept


  3. Vincent Ogweno

    This is a great profile Dr Franca Hoffmann, you have achieved a lot in scientific research. I envy your knowledge and dedication to do all these in such a fulfilling career path as Mathematics and Data Science.
    Keep the good work on and may your achievements know no boundaries.



Leave a comment

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s