Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive integers, which are needed for ...

Daniel R. Grayson is professor emeritus of mathematics at the University of Illinois. He was a friend of Voevodsky from 1994 and worked with him on computer proof checking. Vladimir Voevodsky ...

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

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 a million computer scientists had dinner together, they’d rack up an enormous bill. And if one of them was feeling particularly thrifty and wanted to check if the bill was correct, the process ...

After over three decades, five academic studies and one thousand pages, a team led by Yale Professor Sam Raskin has solved a part of what some consider math’s “Rosetta Stone.” Raskin led a nine-person ...