Algebraic geometry

These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.

This monograph brings together a collection of results on the non-vanishing of L- functions.

This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend.

A volume of papers describing new methods in algebraic geometry.

Infinite Dimensional Holomorphy and Applications

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics.

Hopf Spaces

The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable).

This textbook is designed for a one-year graduate course in real algebraic geometry, with a particular focus on positivity and sums of squares of polynomials.

This book is an introduction to fiber bundles and fibrations.

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties.

A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.

This volume contains articles related to the work of the Simons Collaboration "e;Arithmetic Geometry, Number Theory, and Computation.

In the fall semester of 1979 I gave a course on deformation theory at Berkeley.

Approach your problems from the right end It isn't that they can't see the solution.

This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere.

The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic.

This self-contained book is an exposition of the fundamental ideas of model theory.

Positivity is one of the most basic mathematical concepts.

This self-contained book is an exposition of the fundamental ideas of model theory.

This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s.

This is an essential textbook the advanced undergraduate and graduate students of mathematics.

In this book, the author writes freely and often humorously about his life, beginning with his earliest childhood days.

A group of Gerry Schwarz's colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

This book arises from the INdAM Meeting "e;Complex and Symplectic Geometry"e;, which was held in Cortona in June 2016.

This is the fifth proceedings volume published under the Women in Numbers umbrella.

In the Fall of 1975 we started a joint project with the ultimate goal of topo- logically classifying real algebraic sets.

This monograph strives to introduce a solid foundation on the usage of Grobner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K.

Ope rateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis.

This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers.

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

Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century.

This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory.

The 100+ Series, Geometry, offers in-depth practice and review for challenging middle school math topics such as rotations, reflections, and transformations; congruence and similarity; and sine and cosine functions.

This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J.

It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century.

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices.

This English translation of Daniel Coray's original French textbook Notes de geometrie et d'arithmetique introduces students to Diophantine geometry.

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology.

This is the revised second edition of the well-received book by the first two authors.

Eine verständliche, konzise und immer flüssige Einführung in die Algebra, die insbesondere durch ihre sorgfältige didaktische Aufbereitung bei vielen Studenten Freunde finden wird.