Quasiconformal Mappings in the Plane and Complex Dynamics

Luis T. Magalhães was a Professor of Mathematics at IST - Instituto Superior Técnico, University of Lisbon, Portugal, from 1993 to 2001, marking his jubilee. He obtained a degree in Electrical Engineering - Telecommunications and Electronics from IST in 1975, and earned his MSc (1980) and PhD (1982) in Applied Mathematics from Brown University, USA. Dr. Magalhães has served as President   of the Science and Technology Foundation - Portugal, the Knowledge Society Agency - Portugal, the University of Algarve General Council, the INL - International Iberian Nanotechnology Laboratory Council and the INL Installation Committee, chaired the European Union HORIZON 2020 Advisory Board on Research Infrastructures and the OECD Working Party on Measurement and Analysis of the Digital Economy, co-chaired the European Union – Africa Partnership on Science, Information Society and Space, and was a committee or council member in various organizations in Portugal and at European Union,  OECD, UN and ICANN. He was the founder and coordinator of a prominent mathematics research center, and a co-founder of the ISR - Institute of Systems and Robotics and Vice-Director of its Lisbon branch. Alongside Jack K. Hale and Waldyr M. Oliva, he co-authored the book "An Introduction to Infinite Dimensional Dynamical Systems" and authored "Complex Analysis and Dynamics in One Variable with Applications," both published by Springer. Additionally, he has authored several books in Calculus and Linear Algebra, published in Portuguese.

• Preface.- Definitions of Quasiconformal mapping in the plane.- Measurable Riemann mapping theorem.- Extension and distortion of quasiconformal mapping.- Holomorphic motions.- Stability and bifurcation in complex dynamics.- Quasiconformal surgery and complex dynamics.- Dimension of the Mandelbrot set boundary.- Postcritically finite rational functions.- Teichmüller spaces of Riemann surfaces.- Teichmüller spaces of dynamical systems.