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Research

My research interests include: simplicial volume, bounded cohomology, hyperbolic geometry, geometric group theory and homotopy theory.

Preprints:

1. Displacement techniques in bounded cohomology (with Caterina Campagnolo, Francesco Fournier-Facio and Yash Lodha) (arxiv).

2. An algebraic criterion for the vanishing of bounded cohomology (with Caterina Campagnolo, Francesco Fournier-Facio and Yash Lodha) (arXiv).

3. Bounded acyclicity and relative simplicial volume (with Kevin Li and Clara Löh) (arXiv).

   Accepted/Published papers:

4. Bounded cohomology classes of exact forms (with Ludovico Battista, Stefano Francaviglia, Filippo Sarti and Alessio Savini), Proc. Amer. Math. Soc. 152 (2024), 71-80 (arXiv) (journal).

5. Amenability and acyclicity in bounded cohomology (with George Raptis), Rev. Mat. Iberoam. 39 (6) (2023), 2371-2404 (journal OA)(arXiv).

6. Bounded cohomology of finitely presented groups: Vanishing, non-vanishing and computability (with Francesco Fournier-Facio and Clara Löh), To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (arXiv).

7. On the simplicial volume and the Euler characteristic of (aspherical) manifolds (with Clara Löh and George Raptis), Res. Math. Sci. 9 (44) (2020), 1-36 (journal OA) (arXiv).

8. Amenable covers and integral foliated simplicial volume (with Clara Löh and Roman Sauer), New York J. Math. 28 (2022), 1112-1136 (journal OA) (arXiv).

9. Bounded cohomology and binate groups (with Francesco Fournier-Facio and Clara Löh), J. Aust. Math. Soc. 115 (2023), 204-239 (journal OA) (arXiv).

10. Topological volumes of fibrations: A note on open covers (with Clara Löh), Proc. Roy. Soc. Edinburgh Sect. A 152 (5) (2022), 1340-1360 (journal) (arXiv).

11. Multiplicative constants and maximal measurable cocycles in bounded cohomology (with Alessio Savini), Ergod. Theory Dyn. Syst. 42 (2022), 3490-3525 (journal OA) (arXiv).

12. Stable integral simplicial volume of 3-manifolds (with Daniel Fauser, Clara Löh and José Pedro Quintanilha), J. Topol. 14 (2) (2021), 608-640 (journal OA) (arXiv).

13. Amenable category and complexity (with Pietro Capovilla and Clara Löh), Algebr. Geom. Topol. 22 (3) (2022), 1417-1459 (journal) (arXiv).

14. A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices (with Alessio Savini) Transform. Groups 27 (4) (2022), 1337--1392 (journal OA) (arXiv).

15. Simplicial volume via normalised cycles (with Clara Löh), Proc. Amer. Math. Soc. 148 (2020), 5437-5440 (journal) (arXiv).

16. Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume (with Roberto Frigerio), Mem. Amer. Math. Soc. 283 (1402) (2023), 1-166 (journal) (arXiv).

17. Ideal simplicial volume of manifolds with boundary (with Roberto Frigerio), Int. Math. Res. Not. IMRN 2021 (7) (April 2021), 5214-5260 (journal) (arXiv).

18. On volumes of truncated tetrahedra with constrained edge lengths (with Roberto Frigerio), Period. Math. Hungar. 79 (1) (2019), 32-49 (journal) (arXiv).

19. Abstract sectional category in model structures on topological spaces (with Aniceto Murillo), Topology Appl. 199 (2016), 23-31 (journal)(arXiv).

    Research reports:

20. Stable integral simplicial volume of 3-manifolds - Oberwolfach Reports 17 (1) (2020), 417-463 (online version).

    Book chapters:

21. Gromov's Mapping Theorem via multicomplexes (chapter in the book Bounded Cohomology and Simplicial Volume, the book file can be found here).

    PhD thesis:

22. On Gromov's theory of multicomplexes: the original approach to bounded cohomology and simplicial volume, Phd thesis, Pisa 2018, (available here, https://doi.org/10.13131/unipi/etd/11242018-182437). It was awarded as the best PhD thesis in the areas of Mathematics, Physics, Informatics and Earth Science defended at the University of Pisa (2019).

Editorial work