Posted on Wednesday, November 24, 2010 by
Akos Magyar Research

We have finished with Brian an updated version of our paper on restricted arithmetic progressions over finite fields. It is available at: http://arxiv.org/abs/1011.5302 .

Posted on Monday, October 04, 2010 by
Akos Magyar Research

John pointed me out that there is conjecture of Toeplitz from 1911, that every simple closed curve on the plane contains an inscribed square. It is open but it was proved by Stromquist in 1989 that if the curve is locally the graph of a continuous function near any of its points, then the conjecture is true.