Variety Evasive Sets
  We give an explicit construction of a large subset of F^n, where F is a finite field, that has small intersection with any affine variety of fixed dimension and bounded degree. Our construction generalizes a recent result of Dvir and Lovett (STOC 2012) who considered varieties of degree one (affine subspaces). 
Zeev Dvir, J\'anos Koll\'ar and Shachar Lovett
cs.CC cs.DM math.AG math.CO