In this introduction, we will give a brief overview of the themes and topics of the articles in this proceedings volume and summarise each individual contribution based on the abstracts and introduction. The LMS workshop Galois covers, Grothen dieck-Teichmuller theory and Dessins d’enfants brought together many experts from the United Kingdom and abroad as well as graduate students and early career researchers centred around three main themes: Galois covers, Grothendieck-Teichmuller theory and dessins d’enfants. These themes bring about unexpected links between algebraic geometry, representation theory, number theory and algebraic topology. The proceedings of this workshop reflect the topics and scope of the lectures pre...