Some simple
ideas of great mathematicians (under construction)
This page is dedicated to short presentations of simple ideas of
great mathematicians. Much of the work done at the highest levels of
mathematics is very sophisticated and requires a considerable amount
of background and mathematical sophistication to digest. But some of
the ideas are beautifully transparent and can be presented to a wide
mathematical audience. We are going to explore such miniatures
below. Let me note that the choice of topics is highly motivated by
my personal mathematical interests.
Nikolai Chebotaryov: Minors of the Fourier matrix modulo a
prime
Paul Erdos: The square root bound for the Erdos distance
problem
Paul Erdos: The Erdos Integer Distance Principle
Benjamin Logan:
minimization
and signal recovery
Klaus Roth: Arithmetic progressions of length three