Research

My research interests include: simplicial volume, bounded cohomology, hyperbolic geometry, geometric group theory and homotopy theory. I am currently working on simplicial volume and bounded cohomology of spaces.

Preprints:

  • Multiplicative constants and maximal measurable cocycles in bounded cohomology (with Alessio Savini) (arXiv).

  • Stable integral simplicial volume of 3-manifolds (with Daniel Fauser, Clara Löh and José Pedro Quintanilha) (arXiv).

  • A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices (with Alessio Savini) (arXiv).

    Papers:

  • Simplicial volume via normalised cycles (with Clara Löh), To appear in Proc. Amer. Math. Soc. (journal) (arXiv).

  • Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume (with Roberto Frigerio), To appear in Mem. Amer. Math. Soc. (arXiv).

  • Ideal simplicial volume of manifolds with boundary (with Roberto Frigerio), To appear in Int. Math. Res. Not. IMRN (journal) (arXiv).

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

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

    Research reports:

  • Stable integral simplicial volume of 3-manifolds - Oberwolfach Reports (online version).

    Forthcoming talks:

  • 16-19/02/2021 - TBA - Real and complex manifolds. The mathematical heritage of Edoardo Vesentini. (Scuola Normale Superiore, Italy).
  • 6/10/2020 - Stable integral simplicial volume - Trends in LDT (Online seminar).

    Talks, Seminars and Posters:

  • 07/05/2020 - Simplicial volume via normalised cycles - LKS Seminar (online talk, video here) (Univertät Regensburg, Germany).
  • 14/02/2020 - Stable integral simplicial volume of 3-manifolds - Manifolds and groups (Mathematisches Forschungsinstitut Oberwolfach (MFO), Germany).
  • 30/01/2020 - Volumen simplicial entero estable de 3-variedades - V Congreso de Jóvenes Investigadores de la RSME. Session: Topology (Universitat Jaume I, Spain).
  • 12/12/2019 - Stable integral simplicial volume of 3-manifolds - AG Topologie Seminars (KIT, Germany).
  • 06/12/2019 - Stable integral simplicial volume of 3-manifolds - Bavarian Geometry and Topology Meeting (Universität Augsburg).
  • 23/11/2019 - On Gromov's theory of multicomplexes: the original approach to bounded cohomology and simplicial volume - PhD Talent 2019 (Short talk during the celebration for the prize "Best PhD Thesis") (Università di Pisa, Italy).
  • 01/08/2019 - Ideal simplicial volume of manifolds with boundary - Workshop on Bounded Cohomology (Universiät Heidelberg, Germany).
  • 09/07/2019 - Simplicial volume of non-compact manifolds - BAD (Borsisti, Assegnisti, Dottorandi) Seminars (Università di Bologna, Italy).
  • 03/06/2019 - Simplicial volume and amenable covers - Junior Geometry and Topology Seminar (Warwick University, U.K.).
  • 15/04/2019 - Simplicial volume and amenable coverings - Colloquium of the Università degli studi di Milano-Bicocca (Milan, Italy).
  • 08/04/2019 - Gromov's theory of multicomplexes with applications to closed manifolds - Workshop: Riemannian and Simplicial Volume (KIT, Germany).
  • 05/02/2019 - Simplicial volume and amenable coverings - SFB Lectures (Universität Regensburg, Germany).
  • 22/11/2018 - Why do we care about multicomplexes? - Baby-Geometri Seminars (Università di Pisa, Italy).
  • 19/10/2018 - Poster: Una introducción al volumen simplicial ideal - XXV Encuentro de Topología (Insitut d' Etudis Catalanes, Barcelona, Spain) (Poster en Español).
  • 18/10/2018 - Una introducción al volumen simplicial ideal - VII Encuentro de Jóvenes Topólog@s (CRM de Barcelona, Spain).
  • 17/09/2018 - An introduction to ideal simplicial volume - UMI-SIMAI-PTM Joint Meeting. Session: Geometric topology, Manifolds, and Group Actions (University of Wroclaw, Poland)(Slides).
  • 23/05/2018 - An introduction to ideal simplicial volume - Oberseminar Globale Analysis (Universität Regensburg, Germany).
  • 18/05/2018 - An introduction to ideal simplicial volume - AG Topologie Seminars (KIT, Germany).
  • 17/05/2018 - An introduction to simplicial volume - Geometry Graduate Colloquium (ETH Zürich, Switzerland).
  • 11/04/2018 - An introduction to ideal simplicial volume - Seminari di Geometria (Università di Pisa, Italy).
  • 12/03/2018 - Poster: Ideal simplicial volume - Young Geometric Group Thoery VII (Les Diablerets, Switzerland)(Poster about the ideal simplicial volume).
  • 02/03/2018 - Simplicial Volume: when volume becomes a topological invariant - Insalate di Matematica (Università degli studi di Milano-Bicocca, Italy).
  • 01-03/02/2018 - Poster: Ideal simplicial volume - Workshop 2018: varietà reali e complesse: geometria, topologia e analisi armonica (Scuola Normale Superiore, Italy).
  • 04/12/2017 - Lecture on mathematical good manners: the Gromov norm - BAD (Borsisti, Assegnisti, Dottorandi) Seminars (Università di Bologna, Italy).
  • 11/09/2017 - Poster: Ideal Simplicial Volume - Ventotene International Conference 2017: Moduli Spaces (Ventotene, Italy).
  • 21/10/2016 - Poster: El volumen simplicial: una introducción - XXIII Encuentro de Topología (Universidad de Málaga, Spain) (Poster en Español).
  • 20/10/2016 - Categoría seccional abstracta en diferentes estructuras de modelo sobre los espacios topológicos -V Encuentro de Jóvenes Topólogos (Universidad de Málaga, Spain) (Slides en Español).
  • 02/12/2015 - Topological invariants in model categories - Baby-Geometri Seminars (Università di Pisa, Italy).
  • 25/06/2015 - On abstract topological complexity in model categories over topological spaces - InSeGTo (Universidad de Málaga, Spain).

    PhD thesis:

  • Here, you may find my PhD thesis which was awarded as one of the best PhD theses of the University of Pisa (2019).
    Updated 25 May 2020
    by Marco Moraschini.

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