Algebraic Topology

Topology shapes dynamics of higher-order networks
This research explores how higher-order interactions in complex systems influence the dynamics of topological signals, revealing new insights into the interplay between topology and dynamics.
Topology shapes dynamics of higher-order networks
Global topological synchronization on simplicial and cell complexes
This research explores the global synchronization of topological signals on higher-order networks, revealing that topological constraints impact synchronization differently across various network structures.
Global topological synchronization on simplicial and cell complexes