Laurentiu Paunescu

Professor Laurentiu Paunescu is a faculty member in the School of Mathematics and Statistics at the University of Sydney. His research focuses on Real and Complex Singularities, Stratifications, and Real and Complex Algebraic Geometry, with particular interest in geometric criteria for ignoring higher-order terms in analytic maps and blow-analytic equivalence.

• University: University of Sydney
• School: School of Mathematics and Statistics
• Academic Rank: Professor
• Email: laurentiu.paunescu@sydney.edu.au, laurent@maths.usyd.edu.au
• Address: F07 - Carslaw Building, The University of Sydney

Paunescu's research aligns with the University of Sydney's Understanding the Universe and Fundamental Laws of Nature strengths. He investigates topological invariance under bi-Lipschitz homeomorphisms, Lipschitz stratification, and connections between real and complex Milnor fibers. His work often involves collaborations with researchers like S. Koike, A. Parusiński, and M. Tibar.

Recent publications (2024–2019) emphasize Lipschitz geometry (e.g., directional bundles, stratification), cohomology of hypersurface singularities, and polynomial function finiteness. Notable collaborations include studies on vanishing cohomology, clustered polar curves, and CAD construction validity. Grants from DVC Research and ARC Discovery Projects support his work.

He supervises research students in areas like O-minimal Geometry and contributes to Metric Spaces (Advanced) teaching. Paunescu co-edits workshops such as the Australian-Japanese Real and Complex Singularities Workshop, advancing international collaboration in singularity theory.