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Theory of Numbers >> Content Detail



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Calendar

SES #TOPICSKEY DATES
1Divisibility
2Greatest Common Divisor
3More on Greatest Common Divisor and Division Algorithm
4Prime Factorization and Binomial
5Binomial Theorem and CongruencesProblem set 1 due
6Congruences
7Residue Systems, Fermat's Little Theorem, Euler's Theorem, and Wilson's Theorem
8Review for MidtermProblem set 2 due
9Midterm 1
10More on Factorization
11Chinese Remainder TheoremProblem set 3 due
12RSA Cryptography
13Hensel's Lemma
14Solving Equations Modulo Primes
15More on Solving Equations Modulo Primes
16Quadratic Residue Symbol
17More on Quadratic ResiduesProblem set 4 due
18More on Quadratic Residues (cont.)
19Quadratic Reciprocity
20More on Quadratic ReciprocityProblem set 5 due
21Continued Fractions
22More on Continued Fractions
23More on Continued Fractions (cont.)Problem set 6 due
24More on Continued Fractions (cont.)
25More on Continued Fractions (cont.)
26More on Continued Fractions (cont.)Problem set 7 due
27More on Continued Fractions (cont.) and Solving Equations
28Midterm 2
29Curves in Projective Space
30More on Curves in Projective Space and Statement of Falting's Theorem (Mordell Conjecture)
31Singular Points and Smoothness
32Elliptic Curves
33More on Elliptic Curves
34Abelian Groops, Torsion Points and Finite Generation of Group of Torsion PointsProblem set 8 due
35Mazur's Theorem and Calculating the Torsion Subgroup
36More Calculations
37Advanced TopicsProblem set 9 due

 








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