Mirzakhani’s Curve Counting and Geodesic Currents

“The book constitutes a great scientific homage to the work of M. Mirzakhani. Using a number of tools which they develop carefully, the authors give a new general proof of her curve counting theorem, valid for both simple and non-simple curves.” (José Javier Etayo, zbMATH 1514.32003, 2023)

“The book is written with enthusiasm and delightful touches of informality. It includes beautiful illustrations by Hugo Parlier. The authors delight in Mirzakhani's ideas and the surprising applications, and they take pleasure in making the mathematics accessible. They keep the book self-contained … .” (Boris Hasselblatt, Mathematical Reviews, July, 2023)