Sergey Fomin

We show that various classical theorems of real/complex linear incidence geometry, such as the theorems of Pappus, Desargues, Möbius, and so on, can be interpreted as special cases of a single "master theorem" that involves an arbitrary tiling of a...

A nodal real algebraic curve in the affine plane is called expressive if its defining polynomial has the smallest number of critical points that is allowed by the topology of the set of real points of the curve. This notion can be viewed as a "global...