This four-lecture series by Javier Fresán (Sorbonne University, LMS Distinguished Visiting Fellow at ICMU) explores when power series represent rational functions, bridging analysis and arithmetic. The course covers key applications in p-adic analysis, transcendence theory, and zeta functions. These lectures are suitable for graduate and advanced undergraduate students, and all others interested in number theory.

The school programme offers a mathematically focused introduction to contemporary quantum information and matter theory. It bridges deep mathematical structures with practical applications, equipping participants for cutting-edge quantum research. Tailored for advanced math and physics students.

Aiming at undergraduate and graduate students, this school provides a foundational look at group actions on varieties and on abelian varieties. Participants will study algebraic torus actions, quotients, and the complex and arithmetic aspects of abelian varieties. The prerequisites are: commutative algebra, commutative algebra, differential geometry, and introductory algebraic geometry.

Mini-course by Alexander Marynych (Kyiv School of Economics) on Poisson point processes — for graduate and postgraduate students with a background in probability theory. Four lectures in English cover construction on general state spaces, the superposition, mapping and marking theorems, Campbell's formula and the Laplace functional, plus applications in stochastic geometry (Poisson line processes, the Boolean model).