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Transcendental Aspects of Algebraic Cycles
Lecture notes for graduates or researchers wishing to enter this modern field of research.
Calabi-Yau Varieties and Mirror Symmetry
The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularit...
Global Aspects of Complex Geometry
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
Algebraic Cycles and Motives: Volume 2
A self-contained account of the subject of algebraic cycles and motives as it stands.
Modular Representations of Finite Groups of Lie Type
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Elliptic Cohomology
First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.
Automorphic Forms and Galois Representations
Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.
Recent Advances in Algebraic Geometry
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Arithmetic Differential Operators Over the P-adic Integers
This complete introduction to the study of arithmetic differential operators over the p-adic integers offers graduate students and researchers an accessible guide to this novel and promising area of mathematics. It starts with the basics and is accessible to anyone with a basic grasp of algebraic number theory.
Permutation Patterns
A mixture of survey and research articles by leading experts that will be of interest to specialists in permutation patterns and other researchers in combinatorics and related fields. In addition, the volume provides plenty of material accessible to advanced undergraduates and is a suitable reference for projects and dissertations.
