Matteo Ruggiero's home page

Links

• List of my articles on Arxiv.
• List of my articles on MathSciNet.
• List of my articles on Hal.

List of prints and preprints

• Dynamics of foliations in the Siegel domain. In: M.Abate (editor), "Local dynamics of singular holomorphic foliations". Edizioni ETS, 2009. pdf
• Rigidification of holomorphic germs with non-invertible differential. Michigan Mathematical Journal, Volume 61 Issue 1, pp. 161-185, 2012. pdf link arxiv
• Contracting rigid germs in higher dimensions. Annales de l'Institut Fourier, Volume 63 no. 5, pp. 1913-1950, 2013. pdf link arxiv
• with William Gignac - Growth of attraction rates for iterates of a superattracting germ in dimension two. Indiana University Mathematics Journal, Volume 63 no. 4, pp. 1195-1234, 2014. pdf link arxiv
• with Charles Favre - Normal surface singularities admitting contracting automorphisms. Annales Mathématiques de la faculté des sciences de Toulouse, Volume 23 no. 4, pp. 797-828, 2014. pdf link arxiv
• Classification of one-dimensional superattracting germs in positive characteristic. Ergodic Theory and Dynamical Systems, Volume 35, Issue 07, pp. 2242-2268, 2015. pdf link arxiv
• Rigid germs, the valuative tree, and applications to Kato varieties. PHD thesis. Edizioni Scuola Normale, Volume 20, 2015. link
• with Kristin Shaw - Tropical Hopf manifolds and contracting germs. Manuscripta Mathematica, Volume 52, Issue 01-02, pp. 1-60, 2017. pdf link arxiv
• with William Gignac - Local dynamics of non-invertible maps near normal surface singularities. Memoirs of the AMS, Volume 272, Number 1337, 2021. pdf link arxiv
• with Evelia García-Barroso, Pedro González Pérez, Patrick Popescu-Pampu - Ultrametric properties for valuation spaces of normal surface singularities. Transactions of the AMS, Volume 372, Issue 12, pp. 8423-8475, 2019. pdf link arxiv
• with Lorenzo Fantini, Charles Favre - Links of sandwiched surface singularities and self-similarity. Manuscripta Mathematica, Volume 162, Issue 1-2, pp. 23-65, 2020. pdf link arxiv
• with Nicolina Istrati, Alexandra Otiman, Massimiliano Pontecorvo - Toric Kato manifolds. Journal de l'\'Ecole polytechnique, Volume 9, pp. 1347--1395, 2022. pdf link arxiv
• with Samuele Mongodi - Birational properties of tangent to the identity germs without non-degenerate singular directions. Journal of the London Mathematical Society, pp. 1--55, 2023. pdf link arxiv
• with Romain Dujardin and Charles Favre - On the dynamical Manin-Mumford conjecture for plane polynomial maps. Preprint, 2023. pdf arxiv
• with Romain Dujardin and Charles Favre - Polynomial skew products with small relative degree. Preprint, 2025. pdf arxiv

Thesis

• Struttura dell'insieme di Julia per polinomi. Bachelor thesis. 2005. pdf
• Studio della dinamica locale dei punti fissi superattrattivi in C^2 tramite l'albero delle valutazioni. Master thesis. 2007. pdf
• The valuative tree, rigid germs and Kato varieties. PhD thesis. 2011. pdf
• Dynamical singularities. HDR memoir. 2025. pdf slides

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List of my collaborators

Romain Dujardin	Lorenzo Fantini
Charles Favre	Evelia García Barroso
William Gignac	Pedro González Pérez
Nicolina Istrati	Samuele Mongodi
Alexandra Otiman	Massimiliano Pontecorvo
Patrick Popescu-Pampu	Kristin Shaw

Last update: 27.07.2025