In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now va

This book provides an introduction to some of the most recent developments in string theory, and in particular to their mathematical implications and their impa

A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.

This thesis presents several new insights on the interface between mathematics and theoretical physics, with a central role for Riemann surfaces. First of all,