Research
Seminars
Research Talks
Refereeing
PhD
Spectral Networks monograph
The broad research fields I am working in are representation theory, geometry, gauge theories, supersymmetry and string theory; my research articles are listed in the Publications tab.
More precisely, the main themes of my research are:
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Higher Teichmüller spaces,
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Cluster algebras and varieties,
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Dynamics of supersymmetric gauge theories,
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String theory and holography.
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I am particularly interested in topics at which these themes intersect.
Since 2022 I co-organise STRUCTURES CP7 seminar which brings together researchers in mathematics and theoretical physics at the University of Heidelberg (Germany). We have been exploring the following topics:
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JT gravity and SYK model (2022 - 2023).
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Topological Quantum Field Theories (2023 - 2024).
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More information as well as notes and videos of the talks can be found on the seminar webpage.
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 have peer-reviewed articles for the journals International Mathematics Research Notices and Physics Letters B. I am also reviewer for zbMATH Open.
I prepared my PhD at Institut de Recherche Mathématique Avancée (Strasbourg, France) and Université de Strasbourg (France) under the supervision of Vladimir Fock. I defended it on 16 September 2022.
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My dissertation Cluster structures, orientifolds of brane tilings and higher laminations is available here.
This monograph, coauthored with C. Kineider, G. Kydonakis, E. Rogozinnikov, and A. Thomas, aims to provide a Master’s-level introduction to the theory of spectral networks, combining both mathematical and physical perspectives. We bridge the use of spectral networks for computing BPS spectra in 4d N=2 theories with their applications in the study of higher Teichmüller spaces. Comments and remarks are welcome!