Expository Articles - J.S. Milne, Top
Abstract Expositions Date Pages pdf
CA A Primer of Commutative Algebra 2020 113 pages pdf Primer v4.03
TC Tannakian Categories (with P. Deligne) 2022 78 pages pdf 1982 article, TeXed
AVs Abelian Varieties 2012 46 pages pdf 1986 Storrs article, corrected
JVs Jacobian Varieties 2018 45 pages pdf 1986 Storrs article, corrected
Seattle1 Motives over Finite Fields 2018 56 pages pdf 1994 Seattle article, corrected
Abstract Miscellaneous Date Pages pdf
MOT Motives--Grothendieck's Dream 2012 15 pages pdf Popular talk v2.04
Tate The Work of John Tate 2012 72 pages pdf Abel prize volume
SGA3 Review of SGA 3 (2011 version) 2012 3 pages pdf Review
pRH The Riemann hypothesis over finite fields:
From Weil to the present day
2015 65 pages pdf Modern history
TateCW Review of the CW of John Tate 2016 10 pages pdf Review (BAMS)
TateAim The Tate Conjecture over Finite Fields 2007 24 pages pdf Conference talk (AIM); updated
Abstract Shimura Varieties Date Pages pdf
EOM95 Shimura Variety 1995 2 pages pdf Encyclopedia article
SVN What is a Shimura variety? 2012 3 pages pdf Notices AMS
AA88 Shimura varieties, mixed Shimura varieties,
and automorphic vector bundles.
2018 106 pages pdf 1990 Ann Arbor article, corrected
Montreal The points on a Shimura variety
modulo a prime of good reduction
2018 85 pages pdf 1992 Montreal article, corrected
Seattle2 Shimura varieties and motives 2018 72 pages pdf 1994 Seattle article, corrected
SVI Introduction to Shimura Varieties 2017 172 pages pdf 2003 Fields lectures, revised
SVH Shimura Varieties and Moduli 2011 76 pages pdf Handbook article (as submitted)

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, in Doctor 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.