Abstract

Groups have always played a central role in the different branches of Algebra, yet their importance goes far behind the limits of algebraic research. One of the most significant examples for this is the work of Alex Lubotzky. Over the last 35 years, Alex has developed and applied group theoretic methods to different areas of mathematics including combinatorics, computer science, geometry and number theory. His research led the way in the study of expander graphs, p-adic Lie groups, profinite groups, subgroup growth and many geometric counting problems. The 20th Midrasha, dedicated to Alexa€™s 60th birthday, will include lectures from leading mathematicians in these fields presenting their current work.