Elia Bruè

Elia Bruè is a researcher at the Scuola Normale Superiore, specializing in geometric analysis, partial differential equations (PDEs), and optimal transport. His work bridges differential geometry, metric measure spaces, and fluid dynamics, with a focus on Ricci curvature, stability, and non-uniqueness in PDE solutions. He has contributed to resolving conjectures like the Milnor Conjecture and advancing understanding of Euler/Navier-Stokes equations.

Education: Completed his Ph.D. in Mathematics at Scuola Normale Superiore (2020) with a thesis on 'Regularity of Lagrangian Flows over RCD*(K,N) Spaces.'

Research Interests: Explores geometric structures in non-smooth spaces, fluid dynamics instabilities, and optimal transport applications. Key areas include RCD(K,N) spaces, Ricci curvature bounds, and transport equations with Sobolev velocity fields.

Recent Work Trends: His 2023–2025 articles address topological stability in spaces with Ricci curvature bounds, non-uniqueness in fluid dynamics, and counterexamples to geometric conjectures. Collaborations with A. Naber, M. Colombo, and D. Semola highlight interdisciplinary research.

Grants/Advising: No explicit grants listed, but his involvement in workshops (e.g., 'Perspectives in Geometric Analysis,' 'Boundary Analysis for Dispersive Fluids') indicates active participation in academic networks. No advisees listed.

Labs/Teams: Engaged in research groups focused on geometric analysis and PDEs at Scuola Normale Superiore and international collaborations.