My research interests lie in the theoretical and applied aspects of random graphs and stochastic geometry.
On the theoretical side, my research focuses on understanding unimodular networks and dynamics on them, drawing parallels from the Palm theory of stationary point processes.
On the applied side, I am developing methods to analyze graph data using local theory. I am also interested in using stochastic geometry and random graphs to study climate extremes, assess climate impacts, model financial contagion, evaluate portfolio risk, and detect market anomalies.
Publications
(Submitted) Genealogy of records of stochastic processes with stationary increments as unimodular trees with François Baccelli, arXiv link.
(In preparation) Vertex-shift probabilities with François Baccelli.
(In preparation) Coupling of Poisson hyperplane tessellations, with Eliza O’Reilly and Gilles Bonnet.
(In preparation) Stability of scattering transforms on sparse graphs, with Simon Coste and Bartłomiej (Bartek) Błaszczyszyn.
PhD thesis: Records of stationary processes and unimodular networks, defended on 18 September 2023, arXiv Link.