Fabrizio Bianchi

Fabrizio Bianchi is an Associate Professor at the Department of Mathematics, University of Pisa. His research focuses on holomorphic dynamics, ergodic theory, and complex geometry, with contributions to topics like Hénon maps, equilibrium states, and bifurcation theory. He has held positions at Imperial College London, Université de Lille (CNRS), and taught courses on complex analysis, Riemann surfaces, and holomorphic dynamics. His work bridges complex analysis and dynamical systems, emphasizing statistical properties and geometric structures.

Education:

• PhD: 2016, Università di Pisa and Institut de Mathématiques de Toulouse
• Master: 2013, Scuola Normale Superiore di Pisa
• Bachelor: 2011, Università di Pisa

Research Interests:

• Dynamical stability and bifurcations in higher-dimensional holomorphic systems
• Statistical properties (entropy, mixing, limit theorems) of complex dynamical systems
• Geometric structures (Levi currents, Green currents, parameter spaces)
• Parabolic implosion and bifurcations in complex manifolds

Articles & Trends: Recent work emphasizes spectral stability of equilibrium states, Hölder regularity of currents, and universality in Hénon-like maps. Focus on exponential mixing rates and central limit theorems for Kähler automorphisms, as well as parameter space analysis for polynomial skew products.

Teaching & Grants:

• Organized workshops (e.g., ACQUA21, MSRI introductory program)
• Current courses: Complex Analysis, Holomorphic Dynamics (University of Pisa)
• Past teaching roles at Imperial College London, Université de Lille, and Lahore Campus

Key Collaborations: Regular co-authorship with Tien-Cuong Dinh, Matthieu Astorg, and Karim Rakhimov on topics ranging from equilibrium states to bifurcation loci.