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Mar 11, 2005 · James Milne is a mathematician who has written books and articles on various topics. He also shares his photos of mountain areas, lakes and rivers, and New Zealand on his website.
- Mathematics
Mathematics site of J.S. Milne: course notes, preprints, and...
- Michigan Lakes and Rivers
Michigan site of J.S. Milne. Michigan lakes and rivers;...
- NZ Mountains
Photos of the New Zealand Lakes and Mountains - J.S. Milne...
- Makalu
Mountains site of J.S. Milne. Big Mountains Site --- J.S....
- Books
J. S. Milne's lecture notes on elliptic curves are already...
- Course Notes
All of Milne's books are really kind and very easy to read...
- Abelian Varieties
Abelian Varieties - J.S. Milne Top. Course Notes. Group...
- Ant
Current version (3.08) pdf file for printing (11pt; a4paper;...
- Mathematics
- What's New in Articles
- What's New in Books
- What's New in Course Notes
- What's New in Expository Notes
- What's New in Documents
May 9, 2023. Classification of Mumford-Tate groups... v2Dec.23, 2022. Algebraic groups as automorphism...v3Dec.23, 2021. Tate and standard conjectures...Nov.12, 2020. Grothendieck's standard conjecture...Jan 2023. Elliptic Curves (2nd) available in paperback WSPOctober 2022. Fields and Galois Theoryavailable.April 2022. Algebraic Groups, corrected reprint + paperback.August 2020. Elliptic Curves, Second Edition. WSPNov. 2, 2023. Corrected Algebraic Geometry AGJune 23, 2021. Made source files available for GT and FTMarch 10, 2018. New version of Reductive Groups RGAugust 24, 2014. New version of Algebraic Geometry AGSeptember 16, 2017. New version of Introduction to Shimura varietiesSeptember 5, 2016. Review of the Collected Works of John TateJuly 2, 2015. The Riemann hypothesis over finite fields: from Weil to the present day.October 2021. Translations of three classic articles of Deligne.May 2021. Translation of letter of Langlands (2020-02-21)January 2021. Translation of Langlands's essay Funktorialität...James S. Milne (born 10 October 1942 in Invercargill, New Zealand) is a New Zealand mathematician working in arithmetic geometry.
These are full notes for all the advanced (graduate-level) courses I have taught since 1986. Some of the notes give complete proofs (Group Theory, Fields and Galois Theory, Algebraic Number Theory, Class Field Theory, Algebraic Geometry), while others are more in the nature of introductory overviews to a topic.
Office Information: Office Number: 3868. phone: 647-4471. Algebra and Algebraic Geometry; Number Theory; Mathematics.
After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology — those of base change, purity, Poincaré duality, and the Lefschetz trace formula.
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Books. Étale Cohomology (PMS-33), Volume 33 James S. Milne. One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry.