Pierluigi Cesana

Pierluigi Cesana is a Professor conducting research at the intersection of Materials Science and Applied Mathematics. His work centers on mathematical analysis of singular equations and ill-posed optimization problems, with applications in elasticity theory and materials science, while integrating analytical methods with Artificial Intelligence techniques.

His primary research areas include:

• Mathematical analysis of Partial Differential Equations (PDEs) and Boundary Value Problems with highly oscillating solutions
• Calculus of Variations, relaxation, and Gamma-convergence for material behavior modeling
• Integration of variational analysis with AI methods (machine learning, neural networks, genetic algorithms)
• Micro- and nano-scale instabilities in multifunctional materials influencing macroscopic engineering systems
• Recent extensions to financial mathematics and blockchain technology using probability and statistics

Cesana leads a research lab addressing complex multi-physics phenomena, such as optimizing ring-opening reaction rates in nanoswitches through combined quantum mechanics and thermodynamics frameworks. His theoretical work examines pattern formation and topological defects in soft crystals and shape-memory alloys.

No scientific awards were mentioned in the source text. Details about student advising, grants, or specific laboratory teams were not provided.