Research
Monograph on Spectral Networks
Seminars
Research Talks
PhD
My research spans representation theory, algebra, geometry, quantum field theories, supersymmetry and string theory. A complete list of my research articles can be found in the Publications tab.
More specifically, my work focuses on:
-
Higher-rank Teichmüller theory,
-
Cluster algebras and varieties,
-
Supersymmetric gauge theories and generalised symmetries
-
String theory and holography.
I am especially drawn to interdisciplinary topics that can be explored from multiple perspectives.
This open-access monograph offers an introduction to the theory of spectral networks. Its goal is to spark interest in this exciting area and serve as a useful resource for researchers and students alike.
Spectral networks were introduced by D. Gaiotto, G. Moore, and A. Neitzke in 2012 as a tool for computing the BPS spectra of a class of four-dimensional quantum field theories with N=2 supersymmetry, known as class S, in which Hitchin integrable systems play a central role. They were also shown to define remarkable coordinate systems on moduli spaces of non-abelian flat connections on surfaces, generalizing the so-called Fock–Goncharov coordinates. Thanks to this feature, spectral networks quickly found a wide range of applications in related areas, most notably higher-rank Teichmüller theory.
We present both the physical ideas behind spectral networks in the context of supersymmetric gauge theories and their applications to higher-rank Teichmüller theory, which we also introduce in a pedagogical way. More broadly, we hope this book illustrates how productive exchanges between different research communities — with their own language and culture — can be, and encourages further work across these boundaries.
From Fall 2022 to Summer 2024 I have co-organised STRUCTURES CP7 seminar, which brings together researchers in mathematics and theoretical physics at the University of Heidelberg (Germany). The seminar has focused on the following topics:
-
JT gravity and SYK model (2022 - 2023).
-
Topological Quantum Field Theories (2023 - 2024).
Additional information, including notes and videos of the talks, can be found on this webpage.
Spectral networks, exponential networks and (non-)abelianization, Institut Denis Poisson, Tours (France), 27 Nov. 2025. Séminaire Physique Théorique. Notes of the talk.
Double Bruhat cells and exponential networks, Laboratoire de Mathématiques d'Orsay (France),
25 Nov. 2025. Séminaire Analyse Harmonique. Notes of the talk.
Networks and double Bruhat cells, Heidelberg (Germany), 8 Dec. 2023.
Mathematical Physics group meeting,
Global variants of N=1∗ theories and Calogero–Moser systems, Quiver Meeting (Online), 20 June 2025. Recording.
Global variants of complex integrable systems, IHP, Paris (France), 27 May 2025. Conference "Higher rank geometric structures, Higgs bundles and physics".
Exponential networks and cluster integrable systems, SIMIS, Shanghai (China), 24 Apr. 2025. Physical Math Seminar.
Gauge theories, differential characters, and Wilson–'t Hooft lines, University of Patras (Greece),
3 Apr. 2025. Mathematics Colloquium.
One-form symmetries and global variants of 4d gauge theories, ICJ Lyon (France), 14 Mar. 2025.
Mathematical Physics Seminar. Notes of the talk.
Comments on cluster integrable systems, MPI Leipzig (Germany), 21 Jan. 2025.
Geometry Seminar.
Vacua of N=1* Theories and Calogero-Moser Systems, IHES (France), 12 Dec. 2024.
Séminaire de Physique Mathématique.
One-form symmetries in N = 3 S-folds, Heidelberg (Germany), 8 Dec. 2023.
Mathematical Physics group meeting,
One-form symmetries in N = 3 S-folds, Trieste (Italy), 13 Sept. 2023.
SISSA Theoretical Particle Physics group seminar.
Dynamical SUSY Breaking on branes at singularities, Heidelberg (Germany), 5 June 2023.
Oberseminar ”String Theory and Beyond the Standard Model”.
Dimer model building via triple crossing diagrams, Orsay (France), 16 May 2022.
Séminaire de physique mathématique de l’IPHT.
Hecke algebras and two-dimensional TQFTs, Heidelberg (Germany) 19 Jan. 2022.
Symplectic seminar.
On the Octagon Dimer Model (Gong Talk), Nankai (China), 9 Aug. 2021.
Nankai symposium on mathematical dialogues (online).
I completed my PhD at the Institut de Recherche Mathématique Avancée (Strasbourg, France) and the Université de Strasbourg, under the supervision of Vladimir Fock, and defended it on Sept. 16, 2022.
Dissertation: Cluster Structures, Orientifolds of Brane Tilings, and Higher Laminations.