Dan Abramovich is a professor at Brown University. He works in arithmetic geometry, birational geometry, and moduli spaces.Anne Frühbis-Krüger is a professor at Oldenburg University, Germany. She works at the interface between mathematical research and algorithm development. Michael Temkin is a professor at the Hebrew University in Jerusalem, Israel. He currently works in the fields of birational and non-archimedean geometries. Jaroslaw Wlodarczyk is a professor in algebraic geometry at Purdue University, West Lafayette, USA.

A Computational View on Hironaka's Resolution of Singularities.- Stacks for Everyone Who Cares About Varieties and Singularities.- Introduction to Logarithmic Geometry.- Birational Geometry Using Weighted Blowing Up.- Relative and Logarithmic Resolution of Singularities.- Weighted Resolution of Singularities. A Rees Algebra Approach.- New Techniques in Resolution of Singularities: Open Problems.

"The book under review is a motivated by a series of recent results in the context of the problem of resolution of families and semistable reduction ... . the authors have organized the book in seven chapters, where the classical ideas and the main tools of this different framework are presented. ... A very comprehensive collection of references is given at the end of each chapter." (Ana Bravo, zbMATH 1545.14001, 2024)