- COURSE: ELEMENTARY NUMBER THEORY
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- LOCATION: WWH 517
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- INSTRUCTOR: IVAN CHELTSOV
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- OFFICE HOURS: 12:00-14:00, WEDNESDAY, WWH 1307
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- BOOK:
ALGEBRAIC NUMBER THEORY
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LECTURES:
- 19:10-21:00, WEDNESDAY, 28.01.2015
P-ADIC NUMBERS, SECTION II.1
- 19:10-21:00, WEDNESDAY, 04.02.2015
P-ADIC ABSOLUTE VALUE, SECTION II.2
- 19:10-21:00, WEDNESDAY, 11.02.2015
VALUATIONS, SECTION II.3
- 19:10-21:00, WEDNESDAY, 18.02.2015
COMPLETIONS, SECTION II.4
- 19:10-21:00, WEDNESDAY, 25.02.2015
LOCAL FIELDS, SECTION II.5
- 19:10-21:00, WEDNESDAY, 04.03.2015
HENSELIAN FIELDS,
SECTION II.6
- 19:10-21:00, WEDNESDAY, 11.03.2015
UNRAMIFIED EXTENSIONS, SECTIONS II.7
- 16.03.2015-20.03.2015
SPRING BREAK
- 19:10-21:00, WEDNESDAY, 25.03.2015
EXTENSIONS OF VALUATIONS, SECTIONS II.8
- 19:10-21:00, WEDNESDAY, 01.04.2015
GALOIS THEORY, SECTION II.9
- 19:10-21:00, WEDNESDAY, 08.04.2015
ARAKELOV DIVISORS, SECTION III.1
- 19:10-21:00, WEDNESDAY, 15.04.2015
DIFFERENT AND DISCRIMINANT, SECTION III.2
- 19:10-21:00, WEDNESDAY, 22.04.2015
RIEMANN-ROCH, SECTION III.3
- 19:10-21:00, WEDNESDAY, 29.04.2015
GEOMETRIC RIEMANN-ROCH
- 19:10-21:00, WEDNESDAY, 06.04.2015
LUROTH'S PROBLEM OVER Q
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- HOMEWORKS:
- EXERCISES II.1.1, II.1.2, II.1.3 AND II.1.4
DUE TO WEDNESDAY, 04.02.2015, SOLUTIONS
- EXERCISES II.2.2, II.2.3, II.2.5 AND II.2.6
DUE TO WEDNESDAY, 11.02.2015, SOLUTIONS
- EXERCISES II.3.1, II.3.2 AND II.3.3
DUE TO WEDNESDAY, 18.02.2015, SOLUTIONS
- EXERCISE II.4.1
DUE TO WEDNESDAY, 25.02.2015, SOLUTIONS
SUPPLEMENTARY READING
- GAUSSIAN INTEGERS, SECTION I.1
- ALGEBRAIC NUMBER FIELDS, SECTION I.2
- TAKE-HOME MIDTERM EXAM
DUE TO WEDNESDAY, 04.03.2015, SOLUTIONS
- EXERCISES II.6.2 AND II.6.3
DUE TO WEDNESDAY, 11.03.2015
- EXERCISE II.7.1
DUE TO WEDNESDAY, 25.03.2015
- SPRING BREAK READING
- IDEALS AND DEDEKIND DOMAINS, SECTION I.3
- MINKOWSKI THEORY, SECTIONS I.4 AND I.5
- IDEAL CLASS GROUP, SECTION I.6
- RAMIFICATION THEORY AND LOCALIZATION, SECTIONS I.9 AND I.11
- EXERCISES II.8.1, II.8.2 AND II.8.3
DUE TO WEDNESDAY, 01.04.2015
- EXERCISE II.9.2
DUE TO WEDNESDAY, 08.04.2015
- EXERCISE III.1.3
DUE TO WEDNESDAY, 15.04.2015
- EXERCISE III.2.3
DUE TO WEDNESDAY, 22.04.2015
- EXERCISES 1.4, 1.5, 2.4, 7.5, 8.8, 8.13, 9.5, 9.6, 10.5, 10.6, 10.14, 10.16, 12.1, 12.6, 14.2
DUE TO WEDNESDAY, 29.04.2015
- TAKE-HOME FINAL EXAM
DUE TO WEDNESDAY, 06.05.2015
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