Dr F Tripaldi

Research interests

My research interests lie at the intersection of analysis and geometry. I have been working on the Colding-Minicozzi theory of minimal surfaces, focusing on characterising the topology of surfaces arising from minimal disc sequences. More recently, I have been studying metric measure spaces with bounds from below on the Ricci curvature. In the subRiemannian setting, I have been focusing on identifying key algebraic structures within the Lie algebra of nilpotent Lie groups to construct intrinsic subcomplexes of differential forms. The aim is to generalise and sharpen the Rumin complex to obtain (hypo)elliptic cochain complexes in this particular geometric context.

<h4>Research projects</h4> <p>Any research projects I'm currently working on will be listed below. Our list of all <a href="https://eps.leeds.ac.uk/dir/research-projects">research projects</a> allows you to view and search the full list of projects in the faculty.</p> <h4>Postgraduate research opportunities</h4> <p>We welcome enquiries from motivated and qualified applicants from all around the world who are interested in PhD study. Our <a href="https://phd.leeds.ac.uk">research opportunities</a> allow you to search for projects and scholarships.</p>