Preprints

• (with Y.-C. Chang and J. García-Mejía) Complete classification of the Dehn functions of Bestvina-Brady groups, 2507.07566 (2025).
• (with G. Italiano) Perfect circle-valued Morse functions on hyperbolic 6-manifolds, 2503.24128 (2025).
• (with D. Ascari, F. Bertolotti, G. Italiano, and C. Llosa Isenrich) Dehn functions of subgroups of products of free groups. Part II: Precise computations, 2502.03180 (2025).
• (with D. Ascari, F. Bertolotti, G. Italiano, and C. Llosa Isenrich) Dehn functions of subgroups of products of free groups. Part I: Uniform upper bounds, 2406.19860 (2024).

Publications

• Thompson's group $T$ has quadratic Dehn function, Forum of Mathematics, Sigma, 13, 10.1017/fms.2025.10075 (2025).
• (with G. Italiano and B. Martelli) Hyperbolic $5$-manifolds that fiber over $S^1$, Invent. math., 231, 10.1007/s00222-022-01141-w (2023).
• (with G. Italiano and B. Martelli) Hyperbolic manifolds that fiber algebraically up to dimension $8$, Journal of the Institute of Mathematics of Jussieu, 23, 10.1017/S1474748022000536 (2022).
• (with C. Antonucci, M. Gobbino, and N. Picenni) On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation, Comptes Rendus Mathematique, 10.1016/j.crma.2018.05.014 (2018).
• (with C. Antonucci, M. Gobbino, and N. Picenni) Optimal constants for a non-local approximation of Sobolev norms and total variation, Analysis & PDE, 13, 10.2140/apde.2020.13.595 (2017).

Thesis

• Bestvina-Brady Morse theory on hyperbolic manifolds, PhD Thesis, under the supervision of Prof. Bruno Martelli, Scuola Normale Superiore, 10.25429/migliorini-matteo_phd2023-12-19 (Dec 2023). Download

Talks and seminars

• Dehn functions of Bestvina–Brady groups, Higher dimensional hyperbolic geometry, Ventotene (Sep 2025).
• Dehn functions of Bestvina–Brady groups, Algebra Seminar, University of Oxford (May 2025).
• The Dehn function of Thompson's group T, Geometric Group Theory Seminar, University of Bonn (Apr 2025).
• Dehn functions of subgroups of direct products of free groups, Topological and Homological Methods in Group Theory 2024, Bielefeld University (Mar 2024).
• Smoothing circle-valued Morse functions, Manifolds and Groups in Bologna, University of Bologna (Mar 2023).
• Hyperbolic manifolds fibering over $S^1$, Young Geometric Group theory XI, Münster (Feb 2023).
• Hyperbolic manifolds fibering over $S^1$, Workshop on Topological Methods in Geometry, Centre de Recerca Matemàtica, Barcelona (Sep 2022).
• Hyperbolic manifolds fibering over $S^1$, Differential Geometry Seminar, Heidelberg University (Jan 2022).