Content (Tentative)

• Odd town, even town problems and variants
• Ray Chaudhari-Wilson Theorem and its variants
• Ranks of set inclusion matrices, perturbed identity matrices
• Zeroes of low degree polynomials on grids : Combinatorial Nullstellansatz, and Ore's Polynomial Identity lemma
• The Joints problem in Discrete Geometry
• Bounds for the finite field Kakeya Problem
• Bounds for Arithmetic Progression free sets over Finite Fields
• Polynomials in coding theory: Reed-Solomon codes - Unique decoding and list decoding
• Random self reducibility of Permanent
• A parallel algorithm for computing the determinant
• Bipartite matching in Randomized NC
• Algorithms for Primality testing: Agrawal-Biswas and Agrawal-Kayal-Saxena tests
• Thue-Siegel-Roth Theorem on rational approximations of algebraic numbers