Content (Tentative)

Odd town, even town problems and variants

Ray ChaudhariWilson 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: ReedSolomon 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: AgrawalBiswas and AgrawalKayalSaxena tests

ThueSiegelRoth Theorem on rational approximations of algebraic numbers