Maria Vallarino

Maria Vallarino is a Full Professor at the Polytechnic University of Turin, affiliated with the Department of Mathematical Sciences (DISMA). She serves on the university's Student Disciplinary Board and has been a member of the PhD program committee for Matematica Pura e Applicata since 2019. Her teaching includes advanced mathematics courses such as Analisi matematica II for engineering students and functional analysis modules for applied mathematics programs.

Her research specializes in harmonic analysis on geometric structures, with emphasis on:

• Operator theory and function spaces (Hardy, Sobolev, Besov)
• Partial differential equations on Lie groups and trees
• Geometric inequalities (Poincaré, Hardy) in non-Euclidean settings
• Bergman projectors and Riesz transforms on discrete structures

She leads the research group Functional Analysis and Differential Geometry and is Scientific Director of the project HACDS - Harmonic analysis on continuous and discrete structures (2022-2024).

Her recent publications (2021-2025) demonstrate consistent focus on harmonic analysis in non-traditional geometric contexts. Key themes include maximal operators on trees, weighted inequalities, PDEs on Lie groups, and Sobolev embeddings. She frequently collaborates on multi-author works exploring analytical methods in discrete and continuous structures.