Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Online Books

Special Editions

The Millennium Prize Problems
James Carlson, Arthur Jaffe, Andrew Wiles
PDF file (1.1 MB) • PDF file with cover (4.8 MB)
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Monographs

The Geometrization Conjecture
John Morgan and Gang Tian
PDF file (1.5 MB) • PDF file with cover (2.5 MB) 
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Dirichlet Branes and Mirror Symmetry
Michael Douglas and Mark Gross
PDF file (5.0 MB) • PDF file with cover (5.1 MB)
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Ricci Flow and the Poincaré Conjecture
John Morgan and Gang Tian
PDF file (3.6 MB) • PDF file with cover (4.2 MB) 
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Lecture Notes on Motivic Cohomology
Carlo Mazza, Vladimir Voevodsky, Charles Weibel
PDF file (1.3 MB) • PDF file with cover (1.7 MB)
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Mirror Symmetry
Cumrun Vafa and Eric Zaslow
PDF file (4.7 MB) • PDF file with cover (4.8 MB)
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Proceedings

The Resolution of Singular Algebraic Varieties
David Ellwood, Herwig Hauser, Shigefumi Mori, Josef Schicho
PDF file with cover (2.9 MB)
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The Poincaré Conjecture
James Carlson
PDF file (23.4 MB)
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A Celebration of Algebraic Geometry
Brendan Hassett, James McKernan, Jason Starr and Ravi Vakil
PDF file with cover (5.1 MB)
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Evolution Equations
David Ellwood, Igor Rodnianski, Gigliola Staffilani and Jared Wunsch
PDF file with cover (4.2 MB)
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Topics in Noncommutative Geometry
Guillermo Cortiñas
PDF file with cover (2.6 MB)
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Probability and Statistical Physics in Two and More Dimensions
David Ellwood, Charles Newman, Vladas Sidoravicius and Wendelin Werner
PDF file with cover (7.5 MB)
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Grassmannians, Moduli Spaces and Vector Bundles
David Ellwood and Emmma Previato
PDF file with cover (2.5 MB)
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On Certain L-Functions
Arthur, James W. Cogdell, Steve Gelbart, David Goldberg, Dinakar Ramakrishnan and Jiu-Kang Yu
PDF file with cover (6 MB)
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Motives, Quantum Field Theory, and Pseudodifferential Operators
Alan Carey, David Ellwood, Sylvie Paycha and Steven Rosenberg
PDF file with cover (4.1 MB)
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Quanta of Maths
Étienne Blanchard, David Ellwood, Masoud Khalkhali, Matilde Marcolli, Henri Moscovici and Sorin Popa
PDF file with cover (8.7 MB)
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Homogeneous Flows, Moduli Spaces and Arithmetic
Manfred Einsiedler, David Ellwood, Alex Eskin, Dmitry Kleinbock, Elon Lindenstrauss, Gregory Margulis, Stefano Marmi and Jean-Christophe Yoccoz
PDF file with cover (5.8 MB)
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The Geometry of Algebraic Cycles
Reza Akhtar, Patrick Brosnan and Roy Joshua
PDF file with cover (1.9 MB)
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Arithmetic Geometry
Henri Darmon, David Ellwood, Brendan Hassett and Yuri Tschinkel
PDF file with cover (4.9 MB)
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Analytic Number Theory: A Tribute to Gauss and Dirichlet
William Duke and Yuri Tschinkel
PDF file (2.2 MB) • PDF file with cover (2.6 MB)
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Surveys in Noncommutative Geometry
Nigel Higson, John Roe
PDF file (1.8 MB)
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Floer Homology, Gauge Theory, and Low Dimensional Topology
David Ellwood, Peter Ozsváth, András Stipsicz, Zoltán Szabó
PDF file (2.8 MB) • PDF file with cover (3.1 MB)
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Harmonic Analysis, the Trace Formula, and Shimura Varieties
James Arthur, David Ellwood, Robert Kottwitz
PDF file (4.5 MB) • PDF file with cover (4.8 MB)
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Global Theory of Minimal Surfaces
David Hoffman
PDF file (27.2 MB)
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Strings and Geometry
Michael Douglas, Jerome Gauntlett, Mark Gross
PDF file (2.9 MB) • PDF file with cover (5.6 MB)
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