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Research Notes in Mathematics


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Lectures on N_X(p)

Lectures on N_X(p)

1st Edition

By Jean-Pierre Serre
November 03, 2011

Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic...

Topics in Galois Theory

Topics in Galois Theory

2nd Edition

By Jean-Pierre Serre
November 02, 2007

This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and ...

Operator Algebras, Mathematical Physics, and Low Dimensional Topology

Operator Algebras, Mathematical Physics, and Low Dimensional Topology

1st Edition

Edited By Richard Herman, Betül Tanbay
November 15, 1993

This volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena....

The Atiyah-Patodi-Singer Index Theorem

The Atiyah-Patodi-Singer Index Theorem

1st Edition

By Richard Melrose
March 31, 1993

Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies....

Free Resolutions in Commutative Algebra and Algebraic Geometry

Free Resolutions in Commutative Algebra and Algebraic Geometry

1st Edition

Edited By David Eisenbud, Craig Huneke
November 02, 1992

The selected contributions in this volume originated at the Sundance conference, which was devoted to discussions of current work in the area of free resolutions. The papers include new research, not otherwise published, and expositions that develop current problems likely to influence future ...

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