معرفی
Professor Stefan Waldmann holds the Chair of Mathematics X (Mathematical Physics) at the University of Würzburg, where he leads the Mathematical Physics research team. His academic career spans from his doctoral work at Albert-Ludwigs-Universität Freiburg through faculty positions at multiple institutions including Erlangen, Leuven, and Frankfurt, before settling at Würzburg. He maintains an active research program in mathematical physics with numerous publications and collaborations across Europe.
Waldmann's research interests focus on the mathematical foundations of quantum theory, particularly in the areas of deformation quantization, star products, symplectic and Poisson geometry. His work bridges abstract mathematical structures with physical applications, exploring how classical systems transition to quantum mechanical descriptions. He has made significant contributions to understanding the convergence properties of star products, representation theory of *-algebras, and Morita theory in deformation quantization contexts. His research also extends to coisotropic submanifolds, phase space reduction techniques, and applications to noncommutative spacetime models.
The most recent publications demonstrate a consistent focus on advancing deformation quantization theory while addressing specific geometric contexts like Riemann surfaces, Lie groups, and Poincaré disc. His work shows increasing interest in convergence properties of star products and their applications to mathematical physics problems, with recent papers exploring homotopy structures, rigidity phenomena, and phase transitions in Poisson geometrical settings. The research shows a clear trajectory from formal deformation theory toward more strictly convergent mathematical frameworks.
- Prix du Concours annuel 2018 of the Académie royale des Sciences, des Lettres et des Beaux-Arts de Belgique
Professor Waldmann has supervised numerous doctoral and master's students throughout his career, primarily at the University of Freiburg before his appointment at Würzburg. His supervision record includes over 20 theses on topics spanning deformation quantization, Poisson geometry, and mathematical aspects of quantum theory. He has organized multiple international workshops and conferences including the 'Math in the Mill' series and specialized workshops on Poisson geometry, deformation theory, and representation theory. His research has been supported through collaborations with institutions across Europe including Barcelona, Delft, and Mulhouse.
At the University of Würzburg, Waldmann leads the Mathematical Physics research group within the Institute of Mathematics, focusing on deformation quantization and its applications to theoretical physics. The group maintains active collaborations with international partners and regularly hosts visiting researchers. Waldmann has also authored several influential textbooks including 'Linear Algebra 1 & 2', 'Topology: An Introduction', and 'Poisson-Geometrie und Deformationsquantisierung', which have become standard references in mathematical physics education.
