Math 232ABC--Algebraic Number Theory, Fall 2015-Spring 2016
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Instructor: Professor Daqing Wan, Office RH 410C.
Meeting Times: MWF 12:00-12:50pm
Textbook: Number Fields by Daniel Marcus
Location: RH Room 440R
Office Hours: 11:00-11:50pm on MW.
Office Phone: (949)-824-7013
Email: dwan@math.uci.edu
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This graduate course provides an introduction to algebraic number theory, that is,
the study of finite extensions of the rational numbers and their rings of integers.
In particular, we will further develop the theory of fields and rings of integers,
including topics from ideal theory, units in algebraic number fields,
ramification, valuation theory, local-to-global principles, function fields,
and local class field theory. Applications will include explaining quadratic reciprocity
and understanding quadratic forms over Q.
The final grade of this course will be based on one final
exam (50%), one midterm (30%) as well as homework (20%).
The problems on the final exam will come from the suggested
homework problems as well as examples in the lectures.
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Homework Problems
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Fall 2015
Chapter 2: 2, 13, 14, 15, 16,
29, 34, 45.
(due Wednesday, Oct 7)
Chapter 3: 4, 7, 11, 13, 18, 28(a)(b).
(due Monday, Oct 26)
Chapter 4: 7, 9, 14, 18.
(due Monday, Nov 16)
Chapter 5: 9, 43, 44, 45.
(due Wednesday, December 2)