Geometry

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, si...

This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian ...

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by th...

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven comp...

Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by...

The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental gro...

This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of pre...

The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a ...

In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by syste...

The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental gro...

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over th...