Mathematics Site - J.S. Milne (since 1996)

Contents

Addenda/Errata
Articles
listing  60s  70s  80s  90s  00s
abstracts  60s  70s  80s  90s  00s
Books
Etale Cohomology.  •  Hodge Cycles, Motives, and Shimura Varieties  •  Arithmetic Duality Theorems  •  Automorphic Forms, Shimura Varieties, and L-functions  •  Elliptic curves.
Course Notes
Group Theory  •  Fields and Galois Theory  •  Algebraic Geometry  •  Algebraic Number Theory  •  Modular Functions and Modular Forms  •  Elliptic Curves  •  Abelian Varieties  •  Lectures on Etale Cohomology  •  Class Field Theory  •  Algebraic Groups, Lie Groups, and their Arithmetic Subgroups  •  Complex Multiplication
Expository Notes
Commutative Algebra  •  Motives  •  Shimura Varieties
Documents
   Documents by other mathematicians.
Apocrypha.
Personal stuff: cv, photo, etc.
Tips for authors.
Misused words.
Site stats
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Certainly the best times were when I was alone with mathematics, free of ambition and pretense, and indifferent to the world.
        Langlands, in Mathematicians: An Outer View of the Inner World, p142.

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What's New in Articles

• Nov 11, 2009. New version of Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport 2008b

What's New in Course Notes

• May 2010. New version of Algebraic Groups, Lie Groups, and their Arithmetic Subgroups
• November 23, 2009. Minor revision of Modular Functions and Modular Forms.
• Sept 14, 2009. Minor revision of Algebraic Geometry.

What's New in Expository Notes

• November 18, 2009. Talk: Shimura varieties and the work of Langlands
• May 30, 2009. Revised version of A Primer of Commutative Algebra
• April 26, 2009. Revised version of Motives--Grothendieck's Dream

What's New in Documents

• January 23, 2010. Complete notes from the famous 1964 Woods Hole conference.

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Mathematics has been for me, not only a profession, but also my preferred hobby. ... Again and again I have been guided by a sense of the architecture of this edifice, to which we continue to add new wings and new floors while renovating the parts already constructed, into feeling that certain problems had priority as opening new perspectives or establishing a new foundation for future constructions. This is the professional point of view, but happily these problems were those that attracted me the most. In other instances I was not guided by such motives, being attracted only by curiosity, by the need to know the answer to an enigma, without reference to its importance in a general context. Borel, Oevres IV, p376.

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