Sarah never smiled in my classroom. At least not with her eyes. She spoke under her breath. Whispers of words I couldn’t usually hear. She is one of the many students who I remember because despite my ...

When the latest national achievement scores come out, people want to look at the change since the last time. Are things going up or down? But that short-term focus on the averages loses sight of ...

If you buy something using links in our stories, we may earn a commission. This helps support our journalism. Learn more. Please also consider subscribing to WIRED Geometry was one of my favorite ...

Proceedings of the American Mathematical Society, Vol. 143, No. 9 (SEPTEMBER 2015), pp. 3815-3826 (12 pages) Let E be an elliptic curve defined over a number field F and K/F a quadratic extension. For ...