If a polycyclic-by-finite rank-K group Γ admits a faithful affine representation making it acting on R K properly discontinuously and with compact quotient, we say that Γ admits an affine structure.

In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...

If you’ve ever taken an algebra or physics class, then you’ve met a parabola, the simple curve that can model how a ball flies through the air. The most important part of a parabola is the vertex — ...