MoSQu Openings

FPI predoctoral Research Position: PID2024-155686NB-I00, ESPACIOS DE MODULI Y CUANTIZACION, MoSQu

PhD in Geometry of Moduli Spaces and Quantization

In recent decades, the influence of quantum mechanics and quantum field theory has extended far beyond their original domain, driving unexpected and transformative developments in many areas of mathematics. Notably, these theories have profoundly impacted algebraic geometry and moduli space theory, illustrating the deep and evolving relationship between physics and mathematics. 

Moduli spaces are geometric structures that parametrize families of objects, where each point in the space represents a distinct object up to some notion of equivalence. They are a central tool in modern geometry used to classify and study mathematical objects that share common features but vary in certain parameters. Examples include key topological and quantum invariants, along with specific correlation functions in relativistic quantum physics. This PhD project will focus on Poisson aspects of moduli spaces in order to construct their quantization.