Our recent preprint Hamiltonian Monodromy in a Tavis-Cummings System with an $A_2$ Singularity, with Gabriela Gutierrez-Guillen, Pavao Mardešić, and Dominique Sugny, analyzes the topology of the singular Lagrangian fibration of the classical two-spin Tavis–Cummings system. We show that this three-degree-of-freedom integrable Hamiltonian system has a singularity of $A_2$ type which has not been previously observed in “well-behaved” singular Lagrangian fibrations and goes beyond the familiar focus–focus ($A_1$) singularity.
On November 7, 2025 I will visit the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) where I will give a seminar on Hamiltonian monodromy and the classification of integrable Hamiltonian systems.
October 16-21, 2025 I will be back in Groningen for the Symposium on the Occasion of Henk Broer’s 75th Birthday. In the symposium I give a presentation on Integrable Hamiltonian Systems, a topic on which I have worked together with Henk.
In the week June 23-27, 2025 I am attending the conference Integrable Systems and Related Areas in CGP-IBS POSTECH, where I give a presentation on Maslov $S^1$ bundles.
On Wednesday, June 19, 2024 I am giving a talk on integrable Hamiltonian systems at the Department of Mathematics of Nanjing University, hosted by Professor Wei Cheng.
Topological Data Analysis (TDA) has proved to be a very powerful tool for the analysis of the structure of the Cosmic Web. In our recent work “Topological bias: how haloes trace structural patterns in the cosmic web”, we report a remarkable linear relationship between halo masses and topology.
In February 19-23, 2024 I visited the Université de Bourgogne in Dijon, invited by Pavao Mardešić and Dominique Sugny for the PhD defense of Gabriela Gutierrez-Guillen, and gave a talk on Maslov \(S^1\) bundles.
