Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. They were wrong.

Arithmetic Geometry and Manin's Conjecture Publication Trend The graph below shows the total number of publications each year in Arithmetic Geometry and Manin's Conjecture.

Math proofs can go through many iterations and attempts before they're correct. The abc conjecture dates to the 1980s and is an extension of Fermat's last theorem.

A Rochester Institute of Technology doctoral student was part of a team of researchers that settled a 90-year-old math problem called Keller’s conjecture. David Narváez, who studies computing ...

When she was just 17 years old, Hannah Cairo disproved the Mizohata-Takeuchi conjecture, breaking a four-decade-old ...

What is the famous Sunflower Conjecture, and are we any closer to solving the 60-year-old problem?