Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Polynomials on a FieldCovers the construction of polynomials on a field and the concept of minimal polynomials.
Cyclic Subspace DecompositionExplores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Attack on RSA using LLLCovers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
