Quadratic Algebras

A. Polishchuk, L. Positselski

• Paperback | University Lecture Series
• Introduces developments in the study of algebras defined by quadratic relations. This book presents an exposition of the theory of quadratic and Koszu... Lees meer

Lectures on Tensor Categories and Modular Functors

Bojko Bakalov, Alexander A. Kirillov, Jr.

• Paperback | University Lecture Series
• Gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum ... Lees meer

Vertex Algebras for Beginners

• Paperback | University Lecture Series
• Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conforma... Lees meer

Selected Applications of Geometry to Low-dimensional Topology

• Paperback | University Lecture Series
• Based on lectures presented at Pennsylvania State University in February 1987, this work begins with the notions of manifold and smooth structures and... Lees meer

Complex Analysis and CR Geometry

• Paperback | University Lecture Series
• Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. CR geometry has become an important topic in diffe... Lees meer

Real Solutions to Equations from Geometry

Frank Sottile

• Paperback | University Lecture Series
• Focuses on equations from toric varieties and Grassmannians. Not only is much known about these, but such equations are common in applications. There ... Lees meer

Lectures on Hilbert Schemes of Points on Surfaces

• Paperback | University Lecture Series
• It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as sin... Lees meer

Lectures on Quasiconformal Mappings

• Paperback | University Lecture Series
• Covers developments in the theory of Teichmuller spaces and offers references to the literature on Teichmuller spaces and quasiconformal mappings. Thi... Lees meer

Cohomological Invariants in Galois Cohomology

• Paperback | University Lecture Series
• Addresses algebraic invariants that occur in the confluence of several important areas of mathematics, including number theory, algebra, and arithmeti... Lees meer

Arithmetic Noncommutative Geometry

Matilde Marcolli

• Paperback | University Lecture Series
• Arithmetic non commutative geometry uses ideas and tools from non commutative geometry to reinterpret results and constructions from number theory and... Lees meer

Introduction to Arithmetic Groups

Armand Borel

• Paperback | University Lecture Series
• Fifty years after it was first published, Armand Borel's Introduction aux groupes arithmetiques continues to be very important for the theory of arith... Lees meer

Representations of Quantum Algebras and Combinatorics of Young Tableaux

• Paperback | University Lecture Series
• Introduces the representation theory of quantum groups using quantum groups of type $A_{r-1}^{(1)}$ as a main example. This book also explains the pro... Lees meer

Three Lectures on Commutative Algebra

• Paperback | University Lecture Series
• Offers introductions to the advances in 3 significant areas of development in commutative algebra and its applications. This book is based on courses ... Lees meer

A Primer on Pseudorandom Generators

Oded Goldreich

• Paperback | University Lecture Series
• Surveys the theory of pseudorandomness, starting with the general paradigm, and discussing various incarnations while emphasizing the case of general-... Lees meer

Lectures on the Arthur-Selberg Trace Formula

Stephen S. Gelbart

• Paperback | University Lecture Series
• The Arthur-Selberg trace formula is an equality between two kinds of traces: the geometric terms given by the conjugacy classes of a group and the spe... Lees meer

Introduction to Analysis on Graphs

Alexander Grigor'yan

• Paperback | University Lecture Series
• Explores the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph th... Lees meer

Combinatorial Constructions in Ergodic Theory and Dynamics

• Paperback | University Lecture Series
• Explores genericity of approximation in various categories and presents many applications, including spectral multiplicity and properties of the maxim... Lees meer

Conformal, Riemannian and Lagrangian Geometry

• Paperback | University Lecture Series
• Developments in topology and analysis have led to the creation of various lines of investigation in differential geometry. This title presents the bac... Lees meer

Generalized Ricci Flow

Mario Garcia-Fernandez, Jeffrey Streets

• Paperback | University Lecture Series
• The generalized Ricci flow is a geometric evolution equation which has recently emerged from investigations into mathematical physics, Hitchin's gener... Lees meer

Moduli Problem for Plane Branches

• Paperback | University Lecture Series
• Moduli problems in algebraic geometry date back to Riemann's famous count of the $3g-3$ parameters needed to determine a curve of genus $g$. This book... Lees meer

Lectures on Chevalley Groups

Robert Steinberg

• Paperback | University Lecture Series
• Robert Steinberg's Lectures on Chevalley Groups were delivered and written during the author's sabbatical visit to Yale University in the 1967-1968 ac... Lees meer

Koszul Cohomology and Algebraic Geometry

Marian Aprodu, Jan Nagel

• Paperback | University Lecture Series
• The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the 1980s. Thi... Lees meer

The Stationary Tower

• Paperback | University Lecture Series
• Hugh Woodin is a leading figure in modern set theory, having made many contributions to the field, in particular to descriptive set theory and large c... Lees meer

Riemannian Geometry During the Second Half of the Twentieth Century

Marcel Berger

• Paperback | University Lecture Series
• Offers a survey of the developments in Riemannian geometry. This book focuses on five areas of Riemannian geometry: Curvature and topology; the constr... Lees meer