Math 675R: Special Topics in Algebra. - Revision history

Ls5: /* Prerequisite */

2014-09-29T21:20:15Z

‎Prerequisite

2011-01-19T22:33:30Z

2010-10-19T17:29:07Z

‎Minimal learning outcomes

2010-10-19T17:28:11Z

‎Desired Learning Outcomes

2010-07-28T16:41:28Z

‎Minimal learning outcomes

2010-05-21T19:52:57Z

2010-05-21T16:15:49Z

2010-05-21T16:15:05Z

2010-05-21T16:14:06Z

2010-05-21T16:04:32Z

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 === Prerequisite ===
-[[Math 672]].
+[[Math 572]].
 === Description ===

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 === Minimal learning outcomes ===
 Minimal learning outcomes cannot be specified for a course in which topics will vary from year to year. However, regardless of the topic, successful students will know terminology, statements and approaches to problems undergoing active research, and major results in the area and techniques used to prove them. Students will demonstrate this knowledge by working suitable problems and developing their own proofs, by presenting and writing work inside and outside of class, and participating in other activities expected of more advanced graduate students.
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 === Textbooks ===

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 == Desired Learning Outcomes ==
 === Prerequisites ===
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 === Minimal learning outcomes ===
-These will depend on the topic chosen.
+Possible topics include: representation theory, Lie groups and Lie algebras, geometric group theory, Galois theory, algebraic number theory, computational algebra, Category theory, Grobner bases, algebraic geometry, algebraic combinatorics, cryptanalysis, finite group theory, modular forms, commutative algebra, homological algebra, group cohomology, character theory of finite groups, mathematical physics, ring theory.
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← Older revision		Revision as of 16:41, 28 July 2010
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		+	=== Textbooks ===
		+
		+	Possible textbooks for this course include (but are not limited to):
		+
		+	*

	=== Additional topics ===		=== Additional topics ===

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 # Modular forms using a book by Kilford "Modular forms: a classical and computational introduction."
 # Lie algebras, using a book by J Humphreys.
 === Courses for which this course is prerequisite ===
 [[Category:Courses|675]]

← Older revision	Revision as of 22:33, 19 January 2011
(No difference)

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 === Description ===
-Advanced topics in algebra drawn from pure and applied mathematics. Possible topics include: representation theory, Lie groups and Lie algebras, geometric group theory, Galois theory, algebraic number theory, computational algebra, Category theory, Grobner bases, algebraic geometry, algebraic combinatorics, finite group theory, modular forms, commutative algebra, homological algebra, group cohomology, character theory of finite groups, mathematical physics, ring theory.
+Advanced topics in algebra drawn from pure and applied mathematics. Possible topics include: representation theory, Lie groups and Lie algebras, geometric group theory, Galois theory, algebraic number theory, computational algebra, Category theory, Grobner bases, algebraic geometry, algebraic combinatorics, cryptanalysis,  finite group theory, modular forms, commutative algebra, homological algebra, group cohomology, character theory of finite groups, mathematical physics, ring theory.
 == Desired Learning Outcomes ==

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 === Additional topics ===
-Past topics chosen include: (1) Representations of algebras and finite groups, using the book by Curtis and Reiner. (2) Modular forms using a book by Kilford "Modular forms: a classical and computational introduction." (3) Lie algebras, using a book by J Humphreys.
+Past topics chosen include:
 === Courses for which this course is prerequisite ===
 [[Category:Courses|675]]