This volume presents cutting-edge research from the String-Math 2015 conference, focusing on Calabi-Yau manifolds, mirror symmetry, and non-perturbative methods in supersymmetric gauge theories. The proceedings compile contributions from leading mathematicians and physicists who gathered at the Tsinghua Sanya International Mathematics Forum. The articles explore the profound connections between string theory and various branches of modern mathematics, highlighting recent advancements and the development of new theoretical tools. This collection offers insights into the state-of-the-art in these complex and interconnected fields.

This volume is a collection of advanced research papers presented at the String-Math 2015 conference, indicating a specialized audience of researchers in theoretical physics and mathematics. The focus on Calabi-Yau manifolds, mirror symmetry, and supersymmetric gauge theories suggests a dense, technical read aimed at those already familiar with these complex subjects. The inclusion of state-of-the-art developments implies that the work is intended for active participants in these research fields.