Research theme
Complex Systems, Active Matter & Adaptive Dynamics
Mathematical and computational studies of collective dynamics, memory, nonreciprocity, pattern formation and adaptive many-body systems.
This theme asks how simple local interactions produce organised behaviour across active matter, biological aggregation and coordinated agents. We study systems in which geometry, perception, memory and internal regulation are part of the dynamics rather than fixed background assumptions.
A central concern is adaptation: interacting units change while they interact. Non-Markovian feedback, emergent nonreciprocity and topological structure provide a common language for explaining switching, recovery, information retention and robust collective coordination.
Representative questions
- How do internal states and memory reshape collective order?
- Can nonreciprocal interactions emerge from geometry rather than imposed couplings?
- When can driven matter retain and process information?