Building Ramanujan GraphsExplores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Martingales: More TheoryExplores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.