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Course Info

  • Course Number / Code:
  • 18.786 (Spring 2006) 
  • Course Title:
  • Topics in Algebraic Number Theory 
  • Course Level:
  • Graduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Mathematics 
  • Course Instructor(s):
  • Prof. Kiran Kedlaya 
  • Course Introduction:
  •  


  • 18.786 Topics in Algebraic Number Theory



    Spring 2006




    Course Highlights


    This course features readings and assignments.


    Course Description


    This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers, Dirichlet's units theorem, cyclotomic fields, local fields, valuations, decomposition and inertia groups, ramification, basic analytic methods, and basic class field theory. An additional theme running throughout the course will be the use of computer algebra to investigate number-theoretic questions; this theme will appear primarily in the problem sets.
     

ACKNOWLEDGEMENT:
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