Building Ramanujan GraphsExplores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Martingales: More TheoryExplores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
Probability and StatisticsCovers topics related to probability and statistics, including finding specific values and significant events.
Momentum and CollisionsExplores momentum conservation in collisions and its applications in nuclear physics and chain reactions.