Luciano Mari

Luciano Mari is an active mathematics researcher affiliated with the Class of Sciences, specializing in differential geometry and geometric analysis. His research encompasses both theoretical and applied aspects of mathematics with significant contributions to the field.

Research interests focus on:

• Analysis of minimal submanifolds and their spectral properties
• Nonlinear partial differential equations with geometric applications
• Conformal geometry and Möbius transformations
• Spectral theory on Riemannian manifolds
• Extensions of classical geometric theorems

Publication analysis reveals consistent work in geometric analysis since 2009, with recent focus on nonlinear equations, spectral estimates for submanifolds, and applications of maximum principles in Riemannian settings. The research shows progressive development from foundational geometric theory toward applications in PDEs and spectral analysis.

Collaborative work spans multiple countries including Brazil, United States, and various European institutions. While specific awards aren't mentioned, the publication record in prestigious mathematics journals indicates significant recognition in the field.

Current research directions appear to include nonlinear problems in conformal geometry, spectral properties of immersed submanifolds, and generalizations of classical geometric theorems to non-Euclidean settings.