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Calendar

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