جستجوی استاد راهنمای دانشگاهی

Alessandro Ottazziمشاهده پروفایل

مدرس ارشد

• Geometric Analysis
• Lie Groups
• Sub-Riemannian Geometry
• +۳ مورد دیگر

Dr. Alessandro Ottazzi is a Senior Lecturer in the School of Mathematics and Statistics at the University of New South Wales (UNSW). He earned his PhD from the University of Genoa (Italy) and held postdoctoral positions at the University of Bern (Switzerland), Università di Milano-Bicocca, and Università di Trento. His research spans geometric analysis, Lie groups, sub-Riemannian geometry, and CR structures, with a focus on the interplay between algebraic topology and analytic methods. Ottazzi's work consistently explores geometric rigidity, function spaces on non-Euclidean structures, and mappings in stratified groups. Recent publications emphasize Hardy spaces, Carnot group embeddings, and measure theory on metric trees. His research demonstrates deep connections between differential geometry, harmonic analysis, and operator theory.

• Functional Analysis
• Harmonic Analysis
• Operator Theory
• +۴ مورد دیگر

Dmitriy Zanin is a Senior Lecturer in the School of Mathematics and Statistics at the University of New South Wales (UNSW), Faculty of Science. He is an active member of the Functional and Harmonic Analysis Group, which specializes in theoretical studies of functions and operators with applications spanning quantum physics and signal processing. His academic role involves research and instruction in advanced mathematical theories within a globally recognized institution. Zanin's research is deeply rooted in functional and harmonic analysis, extending into operator theory, noncommutative geometry, and mathematical physics. Key domains include: Operator algebras (von Neumann algebras, symmetric operator spaces) Noncommutative geometric structures (quantum tori, spectral invariants) Functional inequalities and embedding theorems Applications to quantum systems and signal processing frameworks His work consistently bridges abstract mathematical constructs with physical models. Analysis of Zanin's 15 most recent publications (2024–2025) reveals a strong focus on operator-theoretic frameworks in noncommutative settings. Predominant themes include: Sobolev embeddings and interpolation inequalities on quantum spaces Compactness criteria in quasi-Banach operator algebras Schatten-class commutator estimates and trace formulas Geometric invariants of deformed noncommutative manifolds This corpus demonstrates rigorous theoretical development at the intersection of functional analysis and quantum geometry.