David Mumford Ph.D.

National Medal of Science - Mathematics and Computer Science 2009

Mathematician. Algebraic geometry, Vision and Pattern Theory. Pure and Applied math. History and Philosophy of math, Math education. Sailing.

"Research enterprise depends on the free dissemination of scholarly material.

Books

1. Lectures on Curves on Surfaces, (with George Bergman), Princeton University Press, 1964.


2. * Geometric Invariant Theory, Springer-Verlag, 1965; 2nd enlarged edition, (with John Fogarty), 1982; 3rd enlarged edition, (with Frances Kirwan and John Fogarty), 1994.


3. The Red Book of Varieties and Schemes, mimeographed notes from the Harvard Mathematics Department 1967, reprinted in Lecture Notes in Mathematics 1348, Springer-Verlag 1988 and enlarged in 1999 with contributions from Enrico Arbarello.


4. Abelian Varieties, (with C. P. Ramanujam), Oxford University Press, 1st edition 1970, 2nd edition 1974, reprinted and enlarged, with contributions from Yuri Manin, by the Tata Institute of Fundamental Research and the AMS.


5. Toroidal Embeddings I (with George Kempf, Finn Knudsen and Bernard Saint-Donat), Lecture Notes in Mathematics 339, Springer-Verlag 1973.


6. Curves and their Jacobians, University of Michigan Press, 1975, reprinted as part of the 'Red Book', 1999.


7. Smooth Compactifications of Locally Symmetric Varieties (with Avner Ash, Michael Rapoport, Yung-Shen Tai), Lie Groups: History Frontiers and Applications, Vol. 4, Math. Sci. Press 1975, reprinted by Cambridge University Press, 2010.


8. Algebraic Geometry I: Complex Projective Varieties, Springer-Verlag, New York, 1976.


9. Tata Lectures on Theta (with C. Musili, Madhav Nori, Peter Norman, Emma Previato and Michael Stillman), Birkhauser-Boston, Part I, 1982, Part II, 1983, Part III, 1991.


10. Filtering, Segmentation and Depth, (with Mark Nitzberg and Takahiro Shiota), Springer Lecture Notes in Computer Science 662, 1993.


11. Two and Three dimensional Patterns of the Face, (with Peter Giblin, Gaile Gordon, Peter Hallinan and Alan Yuille), AKPeters, 1999.


12. Indra's Pearls (with Caroline Series and David Wright), Cambridge University Press, 2002.


13. Selected Papers on the Classification of Varieties and Moduli Spaces, Springer-Verlag, 2004.


14. Selected Papers Volume II: On Algebraic Geometry, including Correspondence with Grothendieck (edited by Amnon Neeman, Ching-Li Chai and Takahiro Shiota) Springer-Verlag, 2010.


15. Pattern Theory, the Stochastic Analysis of Real World Signals, (with Agnes Desolneux), AKPeters/CRC Press, 2010.

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