Algebraic methods in discrete analogs of the Kakeya problem

Nets Katz
Indiana University

In joint work with Larry Guth, we adapt the algebraic method of Dvir for the finite field Kakeya problem to solve the joints problem of Sharir et. al. and a related problem of Bourgain.

Back to Workshop IV: Analytical Methods in Combinatorics, Additive Number Theory and Computer Science