Algebraic geometry

In this textbook the authors present first-year geometry roughly in the order in which it was discovered.

Of making many books there is no end; and much study is a weariness of the flesh.

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance.

This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field.

This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.

Originally published in 1985, this classic textbook is an English translation of Einfuhrung in die kommutative Algebra und algebraische Geometrie.

The general problem studied by information theory is the reliable transmission of information through unreliable channels.

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry.

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry.

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic.

New Developments in Differential Equations

This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry.

An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras.

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

Seventeen articles from the most outstanding contemporary topics in algebraic geometry.

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

In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021.

The elements of abstract algebra have almost everywhere found a place in the undergraduate courses of universities, but this has happened to some extent at the expense of courses on geometry.

This is a proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities held in Kagoshima during 27th October - 3rd November, 2017.

The theory of Riemann surfaces occupies a very special place in mathematics.

This book provides a systematic account of several breakthroughs in the modern theory of zeta functions.

This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995.

Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style.

MATRIX is Australia's international and residential mathematical research institute.

Conics and Cubics is an accessible introduction to algebraic curves.

It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction.

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects.

The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups.

Singularities arise naturally in a huge number of different areas of mathematics and science.

This volume began as the last part of a one-term graduate course given at the Fields Institute for Research in the Mathematical Sciences in the Autumn of 1993.

Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions.

This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory.

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions.

This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics.

Algebraic geometry is one of the most classic subjects of university research in mathematics.

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established.

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016.

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinoya Rorbuer, Svolvaer in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry.

This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011.