Lucille started her PhD at QMUL in October 2020 under the supervision of Prof Ginestra Bianconi. Lucille’s main interests lie at the intersection of (higher order) complex systems, topology and dynamical systems.
Her PhD project focusses on dynamics associated with the recently proposed Dirac operator of simplicial complexes . In intertwining Hodge-Laplacians of different orders, the Dirac operator allows the formulations of higher-order dynamics that couple variables associated to simplices of different orders, referred to as topological signals.
In particular, Lucille has worked on the newly proposed Kuramoto-like dynamics, “topological synchronization” [see publication list], which was found to lead to an explosive transition to synchronization and thermodynamically stable hysteresis. This rich dynamical model paves a novel pathway to explosive synchronization.
Before joining QMUL, Lucille completed her MSc in “Quantum fields and fundamental forces” at Imperial College, during which she worked on the longest path in the Price model with Dr Tim Evans and collaborated with prof Yang-Hui He to apply machine learning methods to improve existing numerical methods to find Calabi-Yau metrics.
 Bianconi, G., 2021. The topological Dirac equation of networks and simplicial complexes. arXiv preprint arXiv:2106.02929.
- Autumn 2021:
- Introduction to Probability tutorials and marking
- Spring 2020:
- Probability and Statistics I tutorials
- Vectors and Matrices tutorials
- Complex Networks marking
- JavaException: java.lang.IllegalArgumentException: Illegal character in query at index 93: http://www.researchpublications.qmul.ac.uk/publications/GetAllStaffOutputXML.action?staffids=\nCalmon, L., Restrepo, J. G., Torres, J. J., & Bianconi, G. (2021). Topological synchronization: explosive transition and rhythmic phase. arXiv preprint arXiv:2107.05107 (2021).\nEvans, T.S., Calmon, L. & Vasiliauskaite, V. The longest path in the Price model. Sci Rep 10, 10503 (2020). https://doi.org/10.1038/s41598-020-67421-8\n&flatXML=Y