Emilio Musso

Emilio Musso is a Full Professor in the Department of Mathematical Sciences "GL Lagrange" (DISMA) at Politecnico di Torino, Italy. His research spans differential geometry, exterior differential systems, integrable systems, and submanifold theory, with strong applications in geometric analysis and mathematical physics.

• Research Interests: Differential Geometry, Conformal Geometry, Lorentzian and CR Geometry, Integrable Systems, Elasticae, Variational Problems on Curves and Surfaces.
• Academic Leadership: Scientific Director of the PRIN projects (2013–2016, 2019–2022) and ReCoMa (2023–2025); Scientific Manager of the Erasmus+ ECCUM project (2015–2018).
• External Appointments: Full Professor at Turin Polytechnic University in Tashkent (2011–2021).

His research focuses on the geometric properties of curves and surfaces under conformal and pseudohermitian structures, including null curves in anti-de Sitter space, elasticae in the hyperbolic plane and 2-sphere, and Legendrian curves in the 3-sphere. He frequently employs integrable systems techniques and exterior differential systems to analyze geometric evolution equations and variational problems.

The recent publications reveal a consistent focus on conformal invariants, geometric flows, CR geometry, and the interplay between differential geometry and soliton theory. His work often involves collaboration with Lorenzo Nicolodi, Álvaro Pámpano, and Gary R. Jensen.

Scientific Awards:

• IOP Select (2015)
• ANASSILAOS Award (2015)

Professional Service: Member of the Italian Mathematical Union (2015–2021), Interuniversity Consortium for Higher Education in Mathematics (2021), and the F. Severi Institute of Higher Mathematics (1986–2021). Former editor-in-chief (2018–2021) and editorial board member (2015–2018) of Mathematical Seminar Reports. Active participant in scientific committees of international conferences in differential geometry.

Teaching and Mentorship: Longstanding involvement in doctoral programs at the University of Turin, Politecnico di Torino, and the University of L’Aquila. He has taught courses such as Linear Algebra and Geometry and Differential and Computational Geometry, and served as a collaborator in the PhD course Fundamentals of Differential Geometry.

Research Groups: Functional Analysis and Differential Geometry (DISMA), with active projects in harmonic analysis, discrete differential geometry, and submanifolds in Lorentzian conformal and Cauchy-Riemann geometries.