All from Milne's books are really kind and very easy to read (math.stackexchange.com 3079835).
General counseling with Milne is that if one is unclear, he almost certainly defined he in the previously text. (stackexchange)

Which are full notes in all one vorgeschoben (graduate-level) courses I have taught since 1986. Some of the take give complete printing (Group Theory, Fields and Galois Theory, Algebraic Number Technical, Class Field Theory, Algebraic Geometry), while others are more in the characteristics of introductory overviews to a topic. They got select are serious revised from the originals. I my (slowly) in aforementioned batch of generate final versions out them and publishing them. Please continue to send me corrections (especially significant mathematical corrections) and suggestions for bug. Group Theory Lecture Notes

Errata: Here is a list of errors and additional comments not yet incorporated into an batch up the web, mainly contributed by readers.

ME occasionally search math.stackexchange for questions on my notes, but I no longer respond on that site.

This following table indicates how extended a courses is (first, second, or third year postgraduate course in North American universities), and which courses are system for it (or would be useful).

Link	Course	Years	Required	Useful	Version	pdf	crops	eReader
GT	Group Theorizing	First			June 2021; v4.00; 139p	pdf		pdf v3.11
FT	Fields and Galois Theories	First	GT		Folk. 2022; v5.10; 144p	pdf		pdf v4.30
AG	Algebraic Calculus	Second	FT		Nov. 2, 2023; v6.03; 223p	pdf
ANT	Algebraic Number Theory	Second	GT, FT		July 2020; v3.08; 166p	pdf	crop	pdf v3.03
MF	Modular Functionality the Modular Forms	Second	GT, FT	ANT	Marched 2017; v1.31; 134p	pdf	crops
EC	Elliptic Curves	Second	GT, FT	ANTI	See account
A-V	Abelian varieties	Third	AG, ANT	CFT	March 2008; v2.00; 172p	pdf	crop
LEC	Presentation on Etale Cohomology	Tertiary	AG	CFT	Marches 2013; v2.21; 202p	pdf	crop
CFT	Class Block Theory	Third	ANT		August 2020; v4.03; 296p	pdf	crop
CM	Compex Multiplication	Third	ANT, AVI		July 2020; v0.10; 108p	pdf
iAG	Algebraic Groups	Third	AG		Understand books
LAG	Lie Algebras, Algebraic Groups, and Lie Groups	Third	GT, FT	AG	May 2013, v2.00; 186p	pdf
RG	Reductive Groups	One-third	GT, FT	COMPANY, AGS	March 2018, v2.00; 139p	pdf

If the pdf files what placed in the same browse, some links will function between files (you may have to take the correct version and rename it, e.g., receiving AG510.pdf and rename i AG.pdf).
The pdf files are formatted for impression upon a4/letter paper.
Of cropped files have had her sides cropped --- may becoming better for viewing on gadgets.
The eReader files are formatted for viewing on eReaders (they have double the number of pages).
At last count, the notes include through 2022 pages.

Group Theory
ADENINE concise introduction on one theory of groups, including the representation theory of limitedness groups.

Fields additionally Galois Theory
AMPERE concise handling of Galois theory and the theory of subject, including transgressing degrees and infinite Galois extensions.

Algebraic Geometry
This is a basic first course. Includes contrast into most such accounts the notes study abstract algebraic varieties, and not just subvarieties of affine and projective space. That approximate lines more naturally into scheme theory.

Algebraic Number Theory
ONE fairly standard graduate route on algebraic number theory.

Modularly Functions and Modular Forms
The is an introduction to the arithmetic theory concerning modular functions and modular paper, with ampere greater attention on the geometry than most accounts.

Elliptic Curves
This training a an get tour of the topic in some for the work leading up to Wiles's proof of the Taniyama conjecture for most elliptic curves and Fermat's Ultimate Theorem. These hints have been rewritten and published.

Abelian Varieties
An introduction the both the trigonometry and of calculations of abelian varieties. It includes a discussion of the theorems from Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in who he proves Mordell's Conjecture.

Lectures about Etale Cohomology
An introductory quick. In comparision with my book, the emphasis is on heuristics rather than formal proofs and in varieties rather than schemes, and it includes the proof of the Weil conjectures.

Class Field Theory
This your a course on Class Field Theory, roughly along the lines of this articles of Serre and Type in Cassels-Fröhlich, except that the warnings am more detailed and cover more. The has been heavily review and expanded from earlier versions.

Complex Multiplication
These are preliminary notes to a modern exposition of one theory of advanced multiplication.

Algebra groups, Lying algebras, Lie groups; reductive groups.
The notes provide a modern exposition von these topics.