Here can be found the tentative and regularly updated lecture notes for the graduate course
« A geometric perspective on gauging procedures in the Hamiltonian formalism »
dealing with differential geometry, Poisson geometry and constrained Hamiltonian systems (Dirac and BRST formalisms) whose first part was hosted at Steklov Institute during the spring semester of 2021, while its continuation was hosted at the Saint-Petersburg State University for the academic year 2021-2022. Please do not hesitate to notify me for any unfortunate mistake or imprecision.