MATH-604: Some Aspects of Calculus of VariationsThe goal of this course is to present an overview on the solvability and the regularity of relevant models of physical, technological and economical systems, which may be formulated as minimization pr
MATH-612: Irregular transport and mixingWe will present the theory of PDEs and of transport equations with rough (non Lipschitz) velocity fields, address both the renormalisation theory by DiPerna-Lions-Ambrosio and its quantitative Lagrang
MATH-614: Foundations of causal inferenceThis seminar will provide a survey of the canonical literature in causal inference. At the end of this course, students will gain a broad understanding of the most important methodological concepts an
MATH-615: Gaussian free field through random walksIn this lecture series some important objects of random geometry are introduced and studied. In particular, the relation between the Gaussian free field and random walks / Brownian motions is explored
MATH-639: Model order reduction Summer SchoolThe summer school gives an introduction to the basic MOR tools employed to obtain surrogate models of problems in engineering and other applied fields, often stemming from the numerical discretization
MATH-643: Applied l-adic cohomologyIn this course we will describe in numerous examples how methods from l-adic cohomology as developed by Grothendieck, Deligne and Katz can interact with methods from analytic number theory (prime numb
MATH-680: Monstrous moonshineThe monstrous moonshine is an unexpected connection between the Monster group and modular functions. In the course we will explain the statement of the conjecture and study the main ideas and concepts