Olivia Caramello is a mathematician working as Assistant Professor at the Universita degli Studi dell'Insubria in Como. Her research focuses on investigating the role of Grothendieck toposes as unifying spaces in Mathematics and Logic. Her main contribution has been the development of methods and techniques for transferring information between distinct mathematical theories by using toposes. After obtaining her Ph.D. in Mathematics at the University of Cambridge, she worked as a post-doctoral researcher at the Centro di Ricerca Matematica Ennio De Giorgi of the Scuola Normale Superiore (Pisa), Jesus College, Cambridge, the Max Planck Institute for Mathematics (Bonn), IHES, and as a Marie Curie Fellow at the Universite de Paris VII and the Universita degli Studi di Milano. She was awarded a L'Oreal-Unesco fellowship for Women in Science in 2014.
The book is systematic, developing the subject from its very categorical beginning, assuming just the basic notions of category theory and a familiarity with first-order logic. This is a research monograph, but a dedicated reader would certainly profit from it. * Felipe Zaldivar, MAA Reviews *