Lectures related to Monic polynomial

Explores critical phenomena in complex systems, including stochastic objects, percolation, and combinatorial optimization.

Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

Covers the computation and properties of the Hermite Normal Form (HNF) in matrix theory and lattice theory.

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Covers integral closures, focusing on Eisenstein primes and their properties.

Covers extending domains, leading coefficients, and valid extensions.