Enrico Carlini

Enrico Carlini is a Full Professor in the Department of Mathematical Sciences (DISMA) at Politecnico di Torino, where he conducts research in algebraic geometry and its applications to tensor decompositions, polynomial representations, and computational mathematics. He teaches courses such as Linear Algebra and Geometry, Mathematical Analysis I, and advanced PhD-level topics in computational algebra and tensor theory.

• Full Professor in Geometry
• Department of Mathematical Sciences (DISMA)
• Politecnico di Torino, Italy
• Email: enrico.carlini@polito.it

His research centers on algebraic geometry, with strong emphasis on tensors, Waring problems, secant varieties, and zero-dimensional schemes. He explores the interplay between abstract algebra and geometric structures, particularly in the context of polynomial decompositions and their applications in computational mathematics.

The recent publications highlight a consistent focus on tensor decompositions, secant varieties, star configurations, and the Waring problem. These works span both theoretical advances and computational methods, often bridging pure algebra with practical mathematical modeling. The recurring themes include symmetric tensors, Hilbert functions, and the geometry of special algebraic varieties.

Carlini has supervised PhD students, including Stefano Canino, and has been involved in PhD collegia at both Politecnico di Torino and Università degli Studi di Torino. He leads the nationally funded PRIN project 0DISTA (2023–2025) on 0-dimensional schemes and tensor theory. He has also served as an evaluator for the American Mathematical Society and the National Research Council of Canada.

He has participated in organizing major conferences such as the SIAM Conference on Applied Algebraic Geometry and workshops on Commutative Algebra and Tensors. His academic engagement extends to a contractual professorship at Monash University (2013–2015), demonstrating international collaboration.