I am a Bonn Junior Fellow with the Hausdorff Center for Mathematics at Rheinische FriedrichWilhelmsUniversität Bonn,Germany, and the AIMSCarnegie Research Chair in Data Science at 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 research to a nonmathematical audience, presented at the finals of the 3MinuteThesis Competition 2016, Imperial College London. For a one hour seminar about my PhD research, click here.
My research interests lie at the interface of modeldriven and datadriven 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 nonlinear driftdiffusion 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 semisupervised 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.
Updates


 I accepted the AIMSCarnegie Research Chair in Data Science at AIMS Rwanda, starting Oct 2020.
 I joined the board of The One World Seminar Series on the Mathematics of Machine Learning. Looking forward to more exciting talks from around the globe.
 Our Fundraising Campaign to support virtual math education programs in Africa is now LIVE! We are coordinating efforts across Africa and internationally to create a virtual maths camp experience (http://virtualmathscamp.com), a collection of events and resources accessible across different countries, platforms and delivery mechanisms with the potential to have long lasting impact. We want to turn the challenges presented by the current pandemic into an opportunity, and continue to provide a math camp experience for students, teachers, and facilitators from across the globe – in a new, dynamic, partially virtual and fully international environment.
 Our paper “Consistency of semisupervised learning algorithms on graphs: Probit and onehot methods” has been accepted for publication in the Journal of Machine Learning Research.
 Updated version of our preprint “Spectral Analysis Of Weighted Laplacians Arising In Data Clustering” is now up on arXiv.
 Our CIMPA school “Partial Differential Equations (PDEs) and Calculus of Variations” is now online here! It will take place at the Institut de Mathématiques et de Sciences Physiques (IMSP) in Dangbo, Benin, 30 August – 10 September, 2021. For more information on the school and how to register, check out the website.
 Our school “Mathematical Methods in Analysis and Probability” (AMSAfrican Mathematical School), originally scheduled to take place at the African Institute of Mathematical Sciences (AIMS) Ghana 1728 August 2020, had to be postponed to 2021 due to the SARSCoV2 outbreak. New date TBC.
 I accepted a position as Bonn Junior Fellow at Rheinische FriedrichWilhelmsUniversität Bonn(Germany) starting in September 2020.
 I accepted a junior faculty position in the Department of Computing and Mathematical Sciences (CMS) at California Institute of Technology (US), starting in Fall 2022.
 Together with MarieTherese Wolfram, I’m coorganizing a minisymposium on “Meanfield models for large interacting agent systems” at the SIAM PD 2019 conference.
 I’m organizing the workshop “CrossPollination in Mathematics Education” at the African Institute of Mathematical Sciences in Biriwa, Ghana, 29 April – 3 May 2019.
 I’m organizing this year’s Southern California Applied Mathematics Symposium at Caltech, US, 27th April 2019.
 As part of the special topics course on Optimal Transport that I’m teaching in Winter term 2019, I’m organizing a special seminar series on Optimal Transport.
 Together with Bamdad Hosseini, I’m coorganizing a minisymposium on “Inverse Problems in Machine Learning” (Part 1 & Part 2) at the SIAM CSE 2019 conference.
 As part of International Education Week, I’m giving a talk “A mathematical journey through Africa”, sharing experiences and insights from my participation in math and science outreach initiatives in Africa over the past few years.
 I have been invited as a guest speaker at Caltech’s Women Mentoring Women Program.

EvelynALSan Bernardino
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Hello Franca,
I am writing today after researching ARPAE 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,
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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.
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ValentinaSCAnn Arbor
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