Geometric Group Theory

• Hardcover | IAS/Park City Mathematics Series
• Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very r... Lees meer

Representation Theory of Lie Groups

• Hardcover | IAS/Park City Mathematics Series
• Contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. This book covers the fu... Lees meer

The Mathematics of Data

• Hardcover | IAS/Park City Mathematics Series
• Data science is a highly interdisciplinary field, incorporating ideas from applied mathematics, statistics, probability, and computer science, as well... Lees meer

Gauge Theory and the Topology of Four-manifolds

Robert Friedman, John W. Morgan

• Hardcover | IAS/Park City Mathematics Series
• Offers a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. This book predates Donaldson's app... Lees meer

Quantum Field Theory, Supersymmetry, and Enumerative Geometry

Freed, Morrison, Singer

• Hardcover | Engels | IAS/Park City Mathematics Series
• Discusses the interplay between quantum field theory (QFT) and mathematics. This book contains two lecture series on methods of enumerative geometry t... Lees meer

Analytic and Algebraic Geometry

Mcneal Jeffery

• Hardcover | IAS/Park City Mathematics Series
• Based on a series of lectures at the PCMI summer school, this volume gives an introduction to the advanced techniques behind recent developments in al... Lees meer

Symplectic Geometry and Topology

• Paperback | IAS/Park City Mathematics Series
• Symplectic geometry has its origins as a geometric language for classical mechanics. But it has exploded into an independent field interconnected with... Lees meer

Quantum Field Theory and Manifold Invariants

• Hardcover | IAS/Park City Mathematics Series
• Presents lectures from the Graduate Summer School ‘Quantum Field Theory and Manifold Invariants’ held at Park City Mathematics Institute 2019. The lec... Lees meer

Geometric Combinatorics

• Hardcover | IAS/Park City Mathematics Series
• Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. Perha... Lees meer

Probability Theory and Applications

• Hardcover | IAS/Park City Mathematics Series
• Presents a collection of lecture notes of the six mini courses given at the IAS/Park City Summer Mathematics Institute. This book includes such topics... Lees meer

Mathematics and Materials

• Hardcover | IAS/Park City Mathematics Series
• Examines material behaviour that is rooted in statistical mechanics. While many presentations of mathematical problems in materials science begin with... Lees meer

Geometry and Quantum Field Theory

• Paperback | IAS/Park City Mathematics Series
• Explores topics from classical and quantum mechanics and field theory. This book covers Lie groups and symplectic geometry, examining the connection w... Lees meer

Geometric Analysis

• Hardcover | IAS/Park City Mathematics Series
• Provides expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometr... Lees meer

Hyperbolic Equations and Frequency Interactions

• Hardcover | IAS/Park City Mathematics Series
• Discusses geometric optics as an asymptotic limit of high-frequency phenomena. This book shows how nonlinear effects are reflected in the asymptotic t... Lees meer

Arithmetic Algebraic Geometry

• Paperback | IAS/Park City Mathematics Series
• Features articles that are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics... Lees meer

Low Dimensional Topology

• Hardcover | IAS/Park City Mathematics Series
• Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics. The Park City Mathematics Inst... Lees meer

Automorphic Forms and Applications

• Hardcover | IAS/Park City Mathematics Series
• Presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. This work add... Lees meer

Mathematical Biology

• Hardcover | IAS/Park City Mathematics Series
• Suitable for graduate students and research scientists, this title features chapters that are based on a series of lectures given by a leading researc... Lees meer

Complex Algebraic Geometry

• Paperback | IAS/Park City Mathematics Series
• Contains lectures presented at the 3rd Regional Geometry Institute at Park City in 1993. This text offers an introduction to Hodge theory and intersec... Lees meer

Random Matrices

• Hardcover | IAS/Park City Mathematics Series
• Random matrix theory has many roots and many branches in mathematics, statistics, physics, computer science, data science, numerical analysis, biology... Lees meer

Computational Complexity Theory

• Hardcover | IAS/Park City Mathematics Series
• Presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on computational complexity. This work is suitable for ind... Lees meer

Statistical Mechanics

• Hardcover | IAS/Park City Mathematics Series
• Over the years, statistical mechanics has been recognized as a central domain of mathematics. Major developments include the Schramm - Loewner evoluti... Lees meer

Representation Theory of Lie Groups

• Paperback | IAS/Park City Mathematics Series
• Contains versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with the fund... Lees meer

Geometry of Moduli Spaces and Representation Theory

• Hardcover | IAS/Park City Mathematics Series
• This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program, “Geometry of moduli spaces and... Lees meer