Faithin Omaha eBook Collection

Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.

Point-counting results for sets in real Euclidean space have found remarkable applications to diophantine geometry, enabling significant progress on the André�

The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.

Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities. Ideal for graduates and researchers.

Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.