Anurag Bishnoi
We are advertising a 3 year postdoctoral position at the University of Western Australia to work at the interface of finite geometry and Ramsey theory. The project is led by John Bamberg at UWA, Sam Mattheus at Vrije Universiteit Brussel, and me. It includes funds for extended research visits to...
Anurag Bishnoi
One of the oldest open problem in Ramsey theory has been solved. We now know the asymptotics of Ramsey numbers , for any fixed , up-to log factors. Last month, Domagoj Bradač showed that for any fixed and (where the term is hiding log factors), using a beautiful finite-geometric...
Anurag Bishnoi
What is the minimum number of colors needed to color the points of the Fano plane such that there is no monochromatic line? It is a nice exercise to prove that two colors do not suffice. This fact has been known at least since the 1956 paper of Richardson that introduced the notion of...
Anurag Bishnoi
The Ramsey number is the smallest such that every graph on vertices either contains a clique of size or an independent set of size . Ramsey’s theorem implies that these numbers always exist, and determining them (precisely or asymptotically) has been a major challenge in mathematics for the...