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STAFF
  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
RESEARCHERS
Mike Field
POSTDOCS
Fabrizio Bianchi
Trevor Clark
Nikos Karaliolios
Dongchen Li
Sofia Trejo Abad
Paul Verschueren
Björn Winckler
PHD STUDENTS
Alex Athorne
Sajjad Bakrani Balani
Giulia Carigi
Andrew Clarke
Maximilian Engel
Federico Graceffa
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Matteo Tanzi
Kalle Timperi
VISITORS
Shangzhi Li
Ole Peters
Camille Poignard
Cristina Sargent
Bill Speares
Kevin Webster
RELATED STAFF
Mauricio Barahona
Davoud Cheraghi
Martin Hairer
Darryl Holm
Xue-Mei Li
Greg Pavliotis


DR FABRIZIO BIANCHI

Fabrizio Bianchi

Chapman 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

  • Perturbations d'exemples de Lattès et dimension de Hausdorff du lieu de bifurcation (with François Berteloot), pdf, arXiv, to 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, to appear on the Annales Scientifiques de l’ENS
  • Bifurcations in the elementary Desboves family (with Johan Taflin), pdf, arXiv, to appear on the Proceedings of the AMS
  • 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

  • Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree, pdf, arXiv

Teaching

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.