Expository Notes - J.S. Milne, Top

Link | Title | Date | Version | Pages | ||
---|---|---|---|---|---|---|

CA | A Primer of Commutative Algebra | 15.08.14 | v4.01 | 109 pages | Primer | |

MOT | Motives--Grothendieck's Dream | 24.04.12 | v2.04 | 15 pages | Popular talk | |

SVN | What is a Shimura Variety? | 01.09.12 | 3 pages | Notices AMS | ||

SVI | Introduction to Shimura Varieties | 13.10.04 | 149 pages | Extended introduction | ||

SVH | Shimura Varieties and Moduli | 30.04.11 | v2.00 | 76 pages | Handbook article | |

TC | Tannakian Categories (with P. Deligne) | 15.08.12 | 72 pages | TeXed original | ||

Tate | The Work of John Tate | 23.09.12 | 72 pages | For Abel prize volume | ||

SGA3 | Review of SGA 3 (2011 version) | 31.03.12 | 3 pages | Review+Newsletter EMS | ||

AVs | Abelian Varieties | 06.08.12 | 46 pages | 1986 Storrs article, corrected | ||

JVs | Jacobian Varieties | 12.08.12 | 43 pages | 1986 Storrs article, corrected | ||

pRH | The Riemann Hypothesis over Finite Fields | 02.07.15 | 65 pages | Modern history | ||

TateCW | Review of the Collected Works of John Tate | 05.09.16 | 9 pages | Review (BAMS) |

**Errata:** This is a list of errors
not yet incorporated into the files on the web, mainly contributed by readers.

All his life he had striven to elaborate this restrained, unpretentious style, through which readers would grasp the content without noticing what had enabled them to do so.

Boris Pasternak, inDoctor Zhivago.

It was a compulsion for Artin to present each argument in its purest form, to replace computation by conceptual arguments, to strip the theory of unnecessary ballast. What was the decisive point for him was to show the beauty of the subject to the reader. He himself has said: " We all believe that mathematics is an art. The author of a book, the lecturer in a classroom tries to convey the structural beauty of mathematics to his readers, to his listeners. In this attempt, he must always fail."

Richard Brauer, BAMS 73 (1967), p38.

It is completely clear to me which conditions caused the gradual decadence of mathematics, from its high level some 100 years ago, down to the present hopeless nadir... Through the influence of textbooks like those of Hasse, Schreier and van der Waerden, the new generation was seriously harmed, and the work of Bourbaki finally dealt the fatal blow.

Siegel, in a letter to Weil quoted in Math. Intell. 30.3, p34.

My love for hiking was Delone's influence. He was a well-known lover of mountain hiking. His feeling for natural beauty was surprisingly strongly developed. If you wanted to travel in the mountains where it is beautiful, the best way was to ask Delone. You could rely on him a hundred percent there. He would always recommend a route, a pretty pass. He would say: "Everyone goes that way, but you go this way, it is more beautiful."

Shafarevich, as quoted in Math. Intell. 11.2, p28.