Ranks of Elliptic Curves and Random Matrix Theory by J B Conrey
Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book is to illustrate this interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modelling by a family of random matrices, and moves on to highlight the latest research. There are expositions of current research on ranks of elliptic curves, statistical properties of families of elliptic curves and their associated L-functions and the emerging uses of random matrix theory in this field. Most of the material here had its origin in a Clay Mathematics Institute workshop on this topic at the Newton Institute in Cambridge and together these contributions provide a unique in-depth treatment of the subject.-
Introduction to Hidden Semi-Markov Models
-
Partial Differential Equations and Fluid Mechanics
-
Linear Logic in Computer Science
-
Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology
-
Complexity Science
-
Groups
-
L-Functions and Galois Representations
-
Groups and Analysis
-
Singularities and Computer Algebra
-
Recent Advances in Hodge Theory
-
Integrable Systems and Algebraic Geometry: Volume 2
-
Kleinian Groups and Hyperbolic 3-Manifolds
-
Combinatorics
-
Some Topics in Graph Theory
- Modulated Quivers, Semi-invariant Pictures and Picture Groups
-
Groups St Andrews 2013
-
Groups St Andrews 2017 in Birmingham
-
Surveys in Contemporary Mathematics
-
Multifunctorial Equivariant Algebraic K-Theory
-
Spectra of Signed Graphs
-
Surveys in Combinatorics 2026
-
The Geometry of Jet Bundles
-
C<sup>∞</sup>-Algebraic Geometry with Corners
-
Transcendental Dynamics and Complex Analysis
-
Topics in Number Theory
-
Groups St Andrews 2001 in Oxford: Volume 2
-
Topics in Graph Automorphisms and Reconstruction
-
Mathematical Aspects of Fluid Mechanics
-
Finite von Neumann Algebras and Masas
-
Evolution Equations
-
Auslander-Buchweitz Approximations of Equivariant Modules
-
Model Theory with Applications to Algebra and Analysis: Volume 1
-
Integrable Systems and Algebraic Geometry: Volume 1
-
Non-equilibrium Statistical Mechanics and Turbulence
-
Partial Differential Equations in Fluid Mechanics
-
Geometry in a Frechet Context
-
Non-abelian Fundamental Groups and Iwasawa Theory
-
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
-
Topological Methods in Group Theory
-
Optimal Transport
-
Entropy of Hidden Markov Processes and Connections to Dynamical Systems
-
An Introduction to Galois Cohomology and its Applications
-
Dense Sphere Packings
-
Synthetic Differential Topology
-
Surveys in Combinatorics 2019
-
O-Minimality and Diophantine Geometry
'Due to these expository lectures, the book may well be of help to newcomers to the field' European Mathematical Society Newsletter
Brian Conrey is the Executive Director of the American Institute of Mathematics. He is also Professor of Mathematics at the University of Bristol. David Farmer is the Associate Director of the American Institute of Mathematics. Francesco Mezzadri is a Lecturer in the Department of Mathematics, University of Bristol. Nina Snaith is a Lecturer in the Department of Mathematics, University of Bristol.
| SKU | Unavailable |
| ISBN 13 | 9780521699648 |
| ISBN 10 | 0521699649 |
| Title | Ranks of Elliptic Curves and Random Matrix Theory |
| Author | J B Conrey |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2007-02-08 |
| Number of pages | 368 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |