Natàlia Castellana Vila

Adreça

Departament de Matemàtiques
Facultat de Ciències
Despatx C1/130
Universitat Autònoma de Barcelona
08193 Bellaterra
natalia a can mat.uab.cat

Research interest

My research is mainly focused on understanding the homotopy properties of p-completed classifying spaces of compact Lie groups and fusion systems in general by means of p-local information, specially maps between p-completed classifying spaces. I am also interested on having a better understanding of homotopy idempotent functors and homotopy generalizations of classifying spaces of groups. Recently I am also trying to understand cohomological properties by its translation in the stable homotopy theory of geometric cochains, and specially the use of tt-geometry in understanding Quillen stratification at a categorical level.