I am a Postdoctoral Researcher (Junior Visiting Position) at the Centro di Ricerca Matematica Ennio De Giorgi of the Scuola Normale Superiore di Pisa, where I am working with Andrea Malchiodi.
I obtained my PhD at King's College London, where my advisors were Giuseppe Tinaglia and Simon Salamon.
My email: francesca.tripaldi@sns.it
Last update: December 2023
Research
My research interests lie at the intersection of analysis and geometry in both the Riemannian and subRiemannian settings.
During my PhD, I focused on the Colding-Minicozzi theory of minimal surfaces, studying the characterisation of the topology of surfaces arising from minimal disc sequences.
More recently, I have worked on metric measure spaces with bounds from below on the Ricci curvature, and in particular how the tools from optimal mass transport can be applied to obtain rigidity results.
In the subRiemannian setting, I have been focusing on identifying key algebraic structures within the Lie algebra of nilpotent Lie groups in order to construct intrinsic subcomplexes of differential forms. The aim of this line of work is to generalise and sharpen the Rumin complex to obtain (hypo)elliptic cochain complexes in this particular geometric context.
The updated list of my publications and preprints can be found here.
Teaching
Past courses at Bern University:
FALL 2022: Calculus of Variations (Instructor)
SPRING 2022: Minimal Surfaces (Instructor), Anerkennung hervorragender Leistungen in der Lehre (ALL)
FALL 2021: Mathematik I für Naturwissenschaften and Analysis III (Teaching Assistant)
SPRING 2021: ODEs and and Selected Topics in Advanced Analysis (Teaching Assistant)
FALL 2020: Mathematik I für Naturwissenschaften and Optimal Mass Transport (Teaching Assistant)
Past courses at Bologna University:
SPRING 2020: Analysis I (Teaching Assistant)
Past courses at the University of Jyväskylä:
FALL 2018: Riemannian geometry (Instructor)
Activities
Some conferences and events that I have co-organized:
Sub-Riemannian geometry and beyond III, Pisa, June 2023
KMX reading seminar, SNS Pisa and hybrid, Spring 2023
Sub-Riemannian geometry and beyond II, Jyväskylä, February 2019
Sub-Riemannian geometry and beyond, Jyväskylä, February 2018
Outreach programs and events:
MINT-Day 2022, Bern University (Women in STEM)
MINT-Day 2021, Bern University (Women in STEM)
Mentor at King's College London Mathematics School, 2014/15, STEP revision