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HONORARY STAFF
Tiago Pereira
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Fabrizio Bianchi
Trevor Clark
Alexandre De Zotti
Gabriel Fuhrmann
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Dongchen Li
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Björn Winckler
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DR FABRIZIO BIANCHI

Fabrizio Bianchi

Marie Curie Fellow

 
 

Room: 614 Huxley Building
More information can be found on my personal webpage.

Research interests

Complex dynamics: stability and bifurcations for families of endomorphisms of CP(k) and polynomial-like maps, parabolic implosion, maps tangent to the identity in C^n , meromorphic connections on Riemann surfaces.

Publications

  • Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree, pdf arXiv,
    to appear on Mathematische Annalen

  • Perturbations d'exemples de Lattès et dimension de Hausdorff du lieu de bifurcation (with François Berteloot), pdf, arXiv
    to appear on the Journal de Mathématiques Pures et Appliquées

  • Parabolic implosion for endomorphisms of C^2, pdf, arXiv
    to appear in JEMS (Journal of the European mathematical society)

  • Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k) (with François Berteloot and Christophe Dupont), pdf, arXiv
    Annales Scientifiques de l’ENS, Volume 51, Issue 1, 215-262, 2018

  • Bifurcations in the elementary Desboves family (with Johan Taflin), pdf, arXivProceedings of the AMS, Volume 145, Issue 10, 4337-4343, 2017

  • A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces (with Marco Abate), pdf, arXiv
    Mathematische Zeitschrift, Volume 282, Issue 1, 247–272, 2016

Preprints

  • Degeneration of quadratic polynomial endomorphisms to a Hénon map (with Yusuke Okuyama), pdf, arXiv

  • Bifurcations in families of polynomial skew products (with Matthieu Astorg), pdf, arXiv

Survey

  • Stability in projective holomorphic dynamics (with François Berteloot), to appear on the Proceeding of the Simons Semester in Banach Center Dynamical systems, pdf

Teaching at Imperial College

  • In the second term of 2017-2018 I am teaching the course Math M3P60, M4P60, M5P60 - Geometric Complex Analysis. The webpage of the course can be found here.

  • In the second term of 2016-2017 I have been teaching the course Math M3PA50, M4PA50, M5PA50 - Introduction to Riemann surfaces and conformal dynamics. The webpage of the course can be found here.