Bruno Franchi

Bruno Franchi is a Full Professor in the Department of Mathematics at the University of Bologna. His research focuses on geometric analysis, sub-Riemannian geometry, partial differential equations, and calculus of variations. He has organized numerous international conferences, including the 'First Johns Hopkins University - University of Bologna Conference on Noncommutativity' (2024) and the '12th School on Analysis and Geometry in Metric Spaces' (2022). His work bridges pure mathematics with applications in mathematical physics and biology, particularly in modeling Alzheimer's disease via homogenization techniques.

Key research interests include Γ-convergence, intrinsic Lipschitz graphs in Carnot groups, and differential forms in non-Euclidean settings. His articles analyze geometric measure theory in Heisenberg groups, wave equations in anisotropic media, and functional inequalities in sub-Riemannian manifolds. Collaborations with co-authors like E. Cinti, A. Baldi, and R. Serapioni have advanced understanding of minimal surfaces, perimeter theory, and variational problems in metric spaces.

Franchi has actively contributed to academic events such as the 'Nonlinear PDEs and Applications' conference (2022) and the 'Dispersive and Subelliptic PDEs' workshop (2020). His work emphasizes the interplay between geometric structures and analytical methods in complex spaces, with implications for both theoretical and applied mathematics.