Preprints and Publications


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Preprints
  1. Dehn functions of subgroups of products of free groups. Part II: Precise computations.,
    with Dario Ascari, Federica Bertolotti, Giovanni Italiano and Matteo Migliorini, 27 pages, arXiv:2502.03180.

  2. Profinite rigidity of Kähler groups: Riemann surfaces and subdirect products , with S. Hughes, P. Py, M. Stover and S. Vidussi, 38 pages,
    arXiv:2501.13761.

  3. Explicit polynomial bounds on Dehn functions of subgroups of hyperbolic groups, with Robert Kropholler and Ignat Soroko, 21 pages,
    arXiv:2501.01688.

  4. Subgroups of CAT(0) groups, exotic finiteness properties and non-QI-embeddings into linear groups, with Konstantinos Tsouvalas, 13 pages,
    arXiv:2412.14081.

  5. On the Boone--Higman Conjecture for groups acting on locally finite trees, with Kai-Uwe Bux and Xiaolei Wu, 28 pages,
    arXiv:2408.05673.

  6. Dehn functions of subgroups of products of free groups. Part I: Uniform upper bounds.,
    with Dario Ascari, Federica Bertolotti, Giovanni Italiano and Matteo Migliorini, 46 pages, arXiv:2406.19860.

  7. From the second BNSR invariant to Dehn functions of coabelian subgroups, 14 pages,
    arXiv:2404.12334.

  8. On the Dehn functions of central products of nilpotent groups, with Jerónimo García-Mejía and Gabriel Pallier, 56 pages,
    arXiv:2310.11144.



Publications
  1. Groups with exotic finiteness properties from complex Morse theory, with Pierre Py,
    J. Topol., vol. 18, no. 1 (2025), 29pp, [doi] ([arXiv]).

  2. Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices, with Pierre Py,
    Inventiones Mathematicae, vol. 235 (2024), pp.233-254 [doi] ([arXiv], videos of talks: [IMPA], [CMO]).

  3. Finitely presented kernels of homomorphisms from hyperbolic groups onto free abelian groups, with Robert Kropholler, 15 pages,
    Internation Mathematics Research Notices, Volume 2024, Issue 23, December 2024, Pages 14219–14232 [doi] ([arXiv]).

  4. Hyperbolic groups containing subgroups of type F3 not F4, with Bruno Martelli and Pierre Py,
    J. Differential Geom. 127 (2024), no. 3, 1121-1147 [doi] ([arXiv]).

  5. Complex hypersurfaces in a direct product of Riemann surfaces, 16 pages,
    Algebr. Geom. Topol. 24 (2024), no.3, 1467-1486, [doi] ([arXiv]).

  6. Cone-equivalent nilpotent groups with different Dehn functions, with Gabriel Pallier and Romain Tessera, 64 pages,
    Proc. Lond. Math. Soc. (3) 126(2):704-789, 2023 [doi] ([arXiv]).

  7. Dehn functions of coabelian subgroups of direct products of groups, with Robert Kropholler, 24 pages,
    J. London Math. Soc. (2) 107(1):123-152, 2023 [doi] ([arXiv]).

  8. Mapping class groups, multiple Kodaira fibrations, and CAT(0) spaces, with Pierre Py,
    Math. Ann., vol. 380 (2021), no. 1-2, 449-485 ([doi], [arXiv]).

  9. Residually free groups do not admit a uniform polynomial isoperimetric function, with Romain Tessera,
    Proceedings of the AMS vol. 148 (2020), no. 10, 4203–4212 [pdf] ([arXiv]).

  10. Kähler groups and subdirect products of surface groups,
    Geometry & Topology 24 (2020), no. 2, 971–1017 [pdf] ([arXiv]).

  11. On the Dehn functions of Kähler groups, with Romain Tessera,
    Groups, Geometry, and Dynamics, Vol. 14 (2020), No. 2, pp. 469-488 [pdf] ([arXiv]).

  12. Kodaira fibrations, Kähler groups, and finiteness properties , with Martin R. Bridson,
    Transactions of the AMS vol. 372 (2019), no.8, pp. 5869-5890 [pdf] ([arXiv]).

  13. Branched covers of elliptic curves and Kähler groups with exotic finiteness properties,
    Annales de l'Institut Fourier, Vol. 69 (2019), no.1 , pp. 335-363 [pdf] ([arXiv]).

  14. Finite presentations for Kähler groups with arbitrary finiteness properties,
    Journal of Algebra vol. 476 (2017), pp. 344-367 [pdf] ([arXiv]).



Other work containing original research
  1. Kähler groups and Geometric Group Theory (September 2017),
    [pdf] (On the Oxford University Research Arxiv: [ORA])
    PhD thesis, University of Oxford, 206 pages, Advisor: Prof. Martin R. Bridson.

  2. Volumes of representations of 3-manifold groups,
    Master thesis (September 2013), University of Munich, 81 pages
    Advisor: Prof. Dieter Kotschick.

  3. On the local normal form of J-convex functions on almost complex manifolds
    Bachelor thesis (July 2011), University of Munich, 40 pages, in German (with an English preface),
    Advisor: Prof. Kai Cielibak.



Expository papers and extended abstracts
  1. Subgroups of hyperbolic groups of type F3 and not F4, Extended Abstract, Oberwolfach Report 11/2022, pp. 539-542 [Link].


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