معرفی
Professor Alexander Rashkovskii is a faculty member in the Department of Mathematics and Physics at the University of Stavanger, affiliated with the Faculty of Science and Technology. His research focuses on pluripotential theory, complex analysis, and convex geometry, with particular emphasis on plurisubharmonic functions, Monge-Ampère operators, and Lelong numbers. He has contributed to advancements in interpolation of extremal functions, geodesics in complex geometry, and applications of pluripotential theory to algebraic geometry and signal processing.
Key research interests include the study of singularities of plurisubharmonic functions, asymptotic multiplicities in algebraic geometry, and the interplay between convex geometry and complex analysis. His work often bridges theoretical results with applications in areas like mobile sampling and harmonic analysis.
- Publications span over three decades, with notable contributions in Mathematische Annalen, Journal of Geometric Analysis, and Applied and Computational Harmonic Analysis.
- Active in international conferences and workshops, including NORDAN meetings and the International Congress of Mathematicians.
His research trends reflect a deep engagement with the structure of plurisubharmonic singularities, regularization techniques, and the geometry of complex Monge-Ampère equations. Recent work explores geodesic connectivity and rooftop envelopes in Cegrell classes, advancing the theoretical foundations of pluripotential theory.
