Jana Blažková

Jana Blažková is a Research Fellow at the Institute for Advanced Dynamic Uncertainty, where her work concerns the spectral theory of linear operators and its role in the analysis of infinite-dimensional systems arising in mathematical economics and optimal control. She holds a PhD in Mathematics from Univerzita Karlova — Charles University Prague (Faculty of Mathematics and Physics), where her doctoral research examined the spectral properties of non-self-adjoint operators on Banach spaces under irregular boundary conditions, with particular attention to resolvent estimates and their dependence on the geometry of the underlying domain.

Following her doctorate, Blažková pursued questions at the boundary between abstract operator theory and its applications to differential and integro-differential equations. Her work during this period developed tools for characterising the essential spectrum of operator pencils arising from boundary value problems with non-standard coefficient structures — problems that appear naturally in the analysis of systems driven by degenerate or state-dependent diffusion.

At IADU, her research applies these operator-theoretic methods to the structure of value function spaces in mean field game systems, with particular interest in resolvent representations and their role in characterising policy equilibria under distributional constraints. Her contributions bear directly on the analytical foundations of the Institute's work on coupled Hamilton–Jacobi–Bellman and Fokker–Planck systems.