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School of Mathematical Sciences

Miss Lucille Calmon


Postgraduate Research Student

Room Number: Mathematical Sciences Building, Room: MB-402
Twitter: @LucilleCalmon


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 [1]. 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 and rhythmic phase. This rich dynamical model paves a novel pathway to explosive synchronization.

In the school of mathematical sciences, Lucille lead the launch and organisation of the undergraduate/taught postgraduate student seminar series. These regular sessions provide a forum for PhD students of the school and taught students to interact together in an informal manner on topics related to postgraduate studies, research, and careers as a mathematicians.

Lucille also sits on the Equality, Diversity and Inclusion committee of the school of mathematical sciences and sometimes organises hikes around London with the PhD students and post doctoral members of the school, as part of th informal "maths hiking club".

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.

[1] Bianconi, G., 2021. The topological Dirac equation of networks and simplicial complexes. arXiv preprint arXiv:2106.02929.

Undergraduate Teaching

  • Autumn 2021:
    • Introduction to Probability tutorials and marking
  • Spring 2020:
    • Probability and Statistics I tutorials
    • Vectors and Matrices tutorials
    • Complex Networks marking



  • Calmon, L., Restrepo, J. G., Torres, J. J., & Bianconi, G. (2021). Topological synchronization: explosive transition and rhythmic phase. arXiv preprint arXiv:2107.05107.
  • Ashmore, A., Calmon, L., He, Y. H., & Ovrut, B. A. (2021). Calabi-Yau Metrics, Energy Functionals and Machine-Learning. arXiv preprint arXiv:2112.10872.
  • Evans, T.S., Calmon, L. & Vasiliauskaite, V. The longest path in the Price model. Sci Rep 10, 10503 (2020).
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