Accepted

Food System Adaptation and Maintaining Trade Could Mitigate Global Famine in Abrupt Sunlight Reduction Scenarios 10 pages. Joint with M. Rivers, M. Hinge, K. Rassool, S. Blouin, F. Jehn, J. García Martínez, V. Grilo, R. Tieman, J. Mulhall, T. Butt, D. Denkenberger. Published in Global Food Security.
An incomplete real tree with complete segments 9 pages. Joint with R. Appenzeller, L. De Rosa, X. Flamm. Published in Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial.

Preprints

IMProofBench: Benchmarking AI on Research-Level Mathematical Proof Generation, 36 pages. Joint with J. Schmitt, G. Bérczi, J. Dekoninck, J. Feusi, T. Gehrunger, R. Appenzeller, J. Bryan, N. Canova, T. de Wolff, F. Gaia, M. van Garrel, B. Hashemi, D. Holmes, A. Iribar Lopez, M. Jørgensen, S. Kelk, S. Kuhlmann, A. Kurpisz, C. Meroni, I. Metzler, M. Möller, S. Muñoz-Echániz, R. Nowak, G. Oberdieck, D. Platt, D. Possamaï, G. Ribeiro, R. Sánchez Galán, Z. Sun, J. Teichmann, R. P. Thomas, C. Vial.
Real Spectrum Compactifications of Universal Geometric Spaces over Character Varieties, 56 pages.
The real spectrum and the oriented Gromov-Hausdorff compactifications of character varieties, 48 pages.

In preparation

Morphisms of generalized affine buildings, 41 pages. Joint with R. Appenzeller, X. Flamm. We define a notion of morphism between generalized affine buildings, generalizing existing definitions appearing in the literature. As an application, we show relationships between different types of buildings via our notion of morphism and prove functoriality results for homogeneous buildings under base field extensions and group homomorphisms.

Upcoming & recent talks

October 2025: The Real Spectrum Compactification of Character Varieties and its relationship with other compactifications at the Séminaire de Groupes et Géométrie, Université de Genève.
February 2025: The Real Spectrum Compactification of Character Varieties and its relationship with other compactifications at the Geometry Seminar, MPI MIS Leipzig.
January 2025: The Universal Projective Space over the Real Spectrum Compactification of Character Carieties at the workshop Variétés de caractères : espaces de Berkovich et compactifications, ENS Paris.
November 2024: The Real Spectrum Compactification of Character Varieties and its relationship with other compactifications at the Differential Geometry and Topology seminar, University of Cambridge.
November 2024: La compactification par le spectre réel de la variété de caractères et sa relation avec d'autres compactifications at the Séminaire de Théorie Spectrale et Géométrie, Institut Fourier, Grenoble.
October 2024: Constructing Anosov representations at the Young Researchers Workshop on 20 years of Anosov Representations, MPI MiS Leipzig.
June 2024: La compactification par le spectre réel de la variété de caractères et sa relation avec d'autres compactifications at the Séminaire de Géométrie et applications, Université de Strasbourg.
May 2024: Lien entre spectre réel et analytification at the Groupe de travail sur les analytifications, tropicalisations et compactifications de variétés des caractères, IMJ-PRG Paris.
March 2023: Non-Archimedean Geometry and Berkovich Analytification at the Geometry Graduate Colloquium, ETH Zurich.
March 2021: Symmetric spaces at the Young Researchers Workshop on Positivity in Lie Groups, IWH Heidelberg.

Other

Doctoral's Thesis: Real Spectrum Compactifications of Character Varieties and Related Geometric Spaces, under supervision of Professor Marc Burger. We give new geometric characterizations of boundary elements of the real spectrum compactification of character varieties using oriented real trees and Berkovich Analytifications.
Master’s Thesis: The Rates of Growth in a Limit Group.pdf, under supervision of Professor Marc Burger. We prove, without using Rips machine, a theorem proved by Fujiwara and Sela on the well-order of the set of growth rates of hyperbolic groups.