Geometric and Computational Topology

Low-dimensional manifolds and knots/links via topological, algebraic, combinatorial and geometric methods.

Moduli spaces of geometric structures.

Configuration spaces and hyperplane arrangements.

Homological, combinatorial and metric methods for computational topology, topological data analysis and geometric deep learning.

Translation surfaces, renormalization algorithms and geometry of numbers.

Faculty:

Alessia Cattabriga

Associate Professor

Stefano Francaviglia

Full Professor

Patrizio Frosini

Associate Professor

Luca Marchese

Associate Professor

Luca Moci

Full Professor

Marco Moraschini

Junior assistant professor (fixed-term)

Michele Mulazzani

Full Professor

Roberto Pagaria

Junior assistant professor (fixed-term)

Stefano Riolo

Senior assistant professor (fixed-term)

Research fellows - Ph.D. Students

Faraz Ahmad

PhD Student

Teaching tutor