# On Zaremba's Conjecture

 MINI-WORKSHOP ON PSEUDORANDOMNESS Topic: On Zaremba's Conjecture Speaker: Alex Kontorovich Affiliation: Stony Brook University Date: Friday, April 22 Time/Room: 5:00pm - 6:00pm/S-101

Inspired by the theory of good lattice points in numerical integration, Zaremba conjectured in 1972 that for every denominator q, there is some coprime numerator p, such that the continued fraction expansion of p/q has uniformly bounded quotients. We will present recent progress on this problem, joint with Jean Bourgain.