Debora Impera

Debora Impera is an Associate Professor at the Department of Mathematical Sciences of the Polytechnic University of Turin. She is a member of the Functional Analysis and Differential Geometry research group and has held a tenure-track assistant professor (Ricercatore di tipo B) position at the same university prior to her current role.

Her research focuses on Differential Geometry and Geometric Analysis, particularly on Riemannian manifolds and mean curvature flow. Key areas include:

• Geometric rigidity theorems
• Self-shrinkers and translators
• Sobolev spaces and cut-off functions
• Topological constraints in geometric PDEs

Her recent publications (2025-2016) span journals like Calculus of Variational PDEs, International Mathematics Research Notices, and The Journal of Geometric Analysis, with recurring themes of Ricci curvature, isoperimetric inequalities, and topological rigidity.

Debora teaches courses such as:

• Differential Geometry (Mathematics for Engineering, 2024/25 and 2025/26)
• Linear Algebra and Geometry (Aerospace Engineering, Management Engineering, etc.)
• Problem Solving Lab 2 (Aerospace Engineering, 2020/21)