24:09[ANT01] Algebraic number theory: an introduction, via Fermat's last theorem
A 24-minute video from Billy Woods: “[ANT01] Algebraic number theory: an introduction, via Fermat's last theorem”.
Billy Woods
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24:09
15:41[ANT02] Arithmetic in Z[i] and beyond
A 16-minute video from Billy Woods: “[ANT02] Arithmetic in Z[i] and beyond”.
13:53[ANT03] Ideal factorisation: recovering uniqueness
A 14-minute video from Billy Woods: “[ANT03] Ideal factorisation: recovering uniqueness”.
21:34[ANT04] Counting ideal classes
A 22-minute video from Billy Woods: “[ANT04] Counting ideal classes”.
16:13[ANT05] Minkowski's geometry of numbers
A 16-minute video from Billy Woods: “[ANT05] Minkowski's geometry of numbers”.
17:50[ANT06] Real and imaginary embeddings
A 18-minute video from Billy Woods: “[ANT06] Real and imaginary embeddings”.
20:56[ANT07] Units and logarithm space (+ bonus theorems)
A 21-minute video from Billy Woods: “[ANT07] Units and logarithm space (+ bonus theorems)”.
23:30[ANT08] Continued fractions, Pell's equation, and units of Z[√d]
A 24-minute video from Billy Woods: “[ANT08] Continued fractions, Pell's equation, and units of Z[√d]”.
9:03[ANT08b] Square triangular numbers
A 9-minute video from Billy Woods: “[ANT08b] Square triangular numbers”.
20:46[ANT09] Stacking oranges
A 21-minute video from Billy Woods: “[ANT09] Stacking oranges”.
13:33[ANT09b] The Diophantus chord method
A 14-minute video from Billy Woods: “[ANT09b] The Diophantus chord method”.
21:35[ANT10] Prime decomposition in Z[√2]
A 22-minute video from Billy Woods: “[ANT10] Prime decomposition in Z[√2]”.
25:48[ANT11] Quadratic Gauss sums
A 26-minute video from Billy Woods: “[ANT11] Quadratic Gauss sums”.
26:35[ANT12] Quadratic reciprocity and prime factorisation
A 27-minute video from Billy Woods: “[ANT12] Quadratic reciprocity and prime factorisation”.
38:06[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends
A 38-minute video from Billy Woods: “[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends”.
28:50[ANT14] Eisenstein polynomials and Strassmann's theorem, via a cubic example
A 29-minute video from Billy Woods: “[ANT14] Eisenstein polynomials and Strassmann's theorem, via a cubic example”.
46:41[ANT15] p-adic integers: a primer, and an application (part 1)
A 47-minute video from Billy Woods: “[ANT15] p-adic integers: a primer, and an application (part 1)”.