Associate Professor Justin Kaidi of  the Institute for Advanced Study has published a book through Cambridge University Press.
Book introduction web

【Book Title】
Modular Forms and String Theory

【Summary】
An indispensable resource for readers in physics and mathematics seeking a solid grasp of the mathematical tools shaping modern theoretical physics, this book comprises a practical introduction to the mathematical theory of modular forms and their applications to the physics of string theory and supersymmetric Yang-Mills theory. Suitable for students and researchers of all levels wishing to navigate the intersection of cutting-edge research in physics and mathematics, it guides readers from the theory of elliptic functions to the fascinating mathematical world of modular forms, congruence subgroups, Hecke theory, and more. Having established a solid basis in mathematics, the book proceeds to numerous applications in physics, with only minimal prior knowledge assumed. Appendices review foundational topics, making the text accessible to a broad audience, and exercises with detailed solutions provide plentiful opportunities for practice.

【Message from the author】

In recent years, mathematics has played an increasingly significant role in theoretical physics, and in particular the mathematical theory of modular forms is now known to be deeply connected to physical theories such as superstring theory and supersymmetric Yang-Mills theory. This book was written to provide a systematic introduction covering both mathematical foundations and their applications in physics, with explanations made as clear and accessible as possible. Additionally, we have done our best to write appendices and exercises in a way designed to facilitate independent study. I hope that this book will serve as a valuable resource for students and researchers interested in physics and mathematics alike, offering new insights and a deeper understanding of both fields.