The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

The learning with errors (LWE) problem is a problem derived from machine learning that is believed to be intractable for quantum computers. This paper proposes a method that can reduce an LWE problem ...

In mid-October, Justin Gilmer flew from California to New York to attend a friend’s wedding. While on the East Coast he visited his former adviser, Michael Saks, a mathematician at Rutgers University, ...

For a function \(H : {a| 0 \le a \le 2^n - 1} \rightarrow {b| 0 \le b \le 2^m - 1}\), the r-element distinctness problem is to find r-distinct elements \(a_1, a_2 ...