Cubic Forms and the Circle Method by Tim Browning
The Hardy-Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it capable of handling remarkably general systems of polynomial equations defined over arbitrary global fields, but it can also shed light on the space of rational curves that lie on algebraic varieties. This book, in which the arithmetic of cubic polynomials takes centre stage, is aimed at bringing beginning graduate students into contact with some of the many facets of the circle method, both classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.-
Groupoids, Inverse Semigroups, and their Operator Algebras
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Extrinsic Geometry of Foliations
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Progress in Mathematics
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Groups, Radical Rings, and the Yang-Baxter Equation
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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Poisson Structures and Their Normal Forms
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Noncommutative Functional Calculus
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Thermodynamic Formalism and Applications to Dimension Theory
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Representation Theory, Mathematical Physics, and Integrable Systems
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Hypoelliptic Laplacian and BottChern Cohomology
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Yamabe-type Equations on Complete, Noncompact Manifolds
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Arithmetic and Geometry Around Galois Theory
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Evolution Equations of Hyperbolic and Schrodinger Type
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Vector Bundles on Complex Projective Spaces
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Residue Currents and Bezout Identities
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Tubes
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Seminaire de Theorie des Nombres, Paris 1987-88
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Lecture Notes on Mean Curvature Flow
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European Congress of Mathematics
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Momentum Maps and Hamiltonian Reduction
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Symplectic Geometry and Secondary Characteristic Classes
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Vanishing Theorems on Complex Manifolds
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Lie Groups: Structure, Actions, and Representations
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Ergodic Theory and Dynamical Systems I
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Andreotti-Grauert Theory by Integral Formulas
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Critical Point Theory for Lagrangian Systems
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Perspectives on Four Decades of Algebraic Geometry, Volume 2
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Complex Approximation
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The Radon Transform
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Quadratic Forms in Infinite Dimensional Vector Spaces
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Arithmetic on Modular Curves
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Complex Kleinian Groups
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Cardinal Invariants on Boolean Algebras
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Discrete Groups in Geometry and Analysis
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Lectures on Functor Homology
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New Horizons in pro-p Groups
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Introduction to Vertex Operator Algebras and Their Representations
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Topological Field Theory, Primitive Forms and Related Topics
“This marvelous and very clearly written book is a very valuable addition to the literature.. . I think it is a great read for every circle method practitioner, especially those coming from the more classical side but eager to learn more about the function field or geometric side, as well as for graduate students in analytic number theory, to be studied along with the more classical texts by Davenport and Vaughan.” (Rainer Dietmann, Mathematical Reviews, March, 2024)
“It is recommended for readers with a solid background in abstract algebra, local fields, algebraic varieties and some analytic and algebraic number theory.” (Franz Lemmermeyer, zbMATH 1493.11003, 2022)
Tim Browning is a professor of number theory with a focus on analytic number theory and Diophantine geometry.
| SKU | Unavailable |
| ISBN 13 | 9783030868741 |
| ISBN 10 | 3030868745 |
| Title | Cubic Forms and the Circle Method |
| Author | Tim Browning |
| Series | Progress In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2022-11-21 |
| Number of pages | 166 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |