Geometry

Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.

Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.

An accessible introduction to the geometric approach to Wigner''s theorem and its role in quantum mechanics.

In this graduate-level book, leading researchers explore various new notions of ''space'' in mathematics.

In this graduate-level book, leading researchers explore various new notions of ''space'' in mathematical physics.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Written by a world expert on the subject, this is the first complete reference on the mathematics of origami.

Written by a world expert on the subject, this is the first complete reference on the mathematics of origami.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.

The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

The first comprehensive account of modern geometric theory and its applications, written by a leader in the field.

Complete account of a new classification of connected Lie groups in two classes, including open problems to motivate further study.

An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

Represents the state of the art in the new field of synthetic differential topology.

Introduction to Diophantine approximation and equations focusing on Schmidt''s subspace theorem, with applications to transcendence.

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.

At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.

A step-by-step guide to Langlands'' early work leading up the Langlands Program for mathematicians and advanced students.

These proceedings of ''Groups St Andrews 2017'' provide a snapshot of the state-of-the-art in contemporary group theory.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

Concise and modern introduction to differential topology with a hands-on approach and plentiful examples and exercises.

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

Develops the modern theory of symmetrization including applications to geometry, PDEs, and real and complex analysis.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.

Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

Concise and modern introduction to differential topology with a hands-on approach and plentiful examples and exercises.

Surveys the state of the art in geometric and cohomological group theory.

Unifies discrete and computational geometry by using forbidden patterns of points to characterize many of its problems.

Unifies discrete and computational geometry by using forbidden patterns of points to characterize many of its problems.

Details some of the most recent developments at the interface of topology and geometric group theory.

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

The second volume in a series exploring the mathematics of aperiodic order.

This book provides a panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.