M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was held from October 15-17, 2013, at the Centre de Recherches Mathématiques in Montréal.

This proceedings volume is representative of the broad spectrum of topics that were addressed at the conference, such as elliptic curves, function field arithmetic, Galois representations,  -functions, modular forms and automorphic forms, sieve methods, and transcendental number theory.

This book is co-published with the Centre de Recherches Mathématiques.