Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Pseudo Randomness in GraphsExplores pseudo randomness in graphs using eigenvalues and polynomials, emphasizing the significance of bunched roots and common interlacers.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Building Ramanujan GraphsExplores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
