Classification, symmetries and singularities at the frontiers of algebra, analysis and geometry.

This Methusalem project is a collaboration of all research groups in pure mathematics at KU Leuven. Our research focuses on five main areas of pure mathematics: algebraic geometry, algebraic topology & group theory, classical analysis, differential geometry and functional analysis. Our goal is to make progress on some of the most challenging open problems in these areas, including the monodromy conjecture on motivic zeta functions, rationality of Nielsen’s zeta function in fixed point theory, the limiting behavior of random tiling models, stability of leaves for singular foliations, a direct operator algebra approach to the solution of the Connes embedding problem. This is a large scale and long term research project in which several PhD students and postdocs are employed. We organize colloquia, seminars and advanced courses. In this stimulating environment, all researchers are exposed to a broad spectrum of mathematical research with several collaboration opportunities.