We implement an extended version of reflection positivity (Wick-rotated unitarity) for
invertible topological quantum field theories and compute the abelian group of deformation …

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is
intended to be used both as a textbook and as a reference. Particular emphasis has been …

[T] he structure of this physical world consistently moved farther and farther away from the
world of sense and lost its former anthropomorphic character…. Thus the physical world has …

Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920
as a modernist transformation similar to those in art, literature, and music. Jeremy Gray …

Based on the latest historical research, Worlds Out of Nothing is the first book to provide a
course on the history of geometry in the 19th century. Topics covered in the first part of the …

These lectures recount an application of stable homotopy theory to a concrete problem in
low energy physics: the classification of special phases of matter. While the joint work of the …

This is an open access title available under the terms of a CC BY-NC-ND 4.0 licence. It is
free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and …

This paper develops some respects in which the philosophy of mathematics can fruitfully be
informed by mathematical practice, through examining Frege's Grundlagen in its historical …

In this dissertation I study the interaction between mathematics and physics, during the first
third of the twentieth century. I do this by analyzing the contributions of the mathematician …

Cassirer's analyses of twentieth-century physics from the perspective of the philosophy of
science focuses on the concept of the object of scientific experience. Within his concept of …