Rachel Greenfeld

In the School of Mathematics, AMIAS Member Rachel Greenfeld and Veblen Research Instructor Sarah Peluse (2020–23), have proved that large sets of points with integer distances between them must lie almost entirely on a single line or circle. 

"'It’s easy to cover a floor with copies of squares, triangles or hexagons [...] but only in ways that never repeat. 'You want to understand the structure of such tilings,' said Rachel Greenfeld, a mathematician at the Institute for Advanced Study in Princeton, New Jersey. 'How crazy can they get?' Pretty crazy, it turns out."