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.

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

If pure math can teach us anything, it’s this: occasionally, your special interest might just change the world. For Joshua Zahl and Hong Wang, that special interest was the Kakeya conjecture ...

The deceptively simple Kakeya conjecture has bedeviled mathematicians for 50 years. A new proof of the conjecture in three dimensions illuminates a whole crop of related problems.

The Collatz Conjecture is a deceptively simple math problem. It has only two rules. First, pick any number. If it's even, divide it by two. If it's odd, multiply it by three and add one. This will ...

Yale professor Sam Raskin led a team to prove the geometric Langlands conjecture, solving a major part of one of math’s most sweeping paradigms.

The post Mathematician Takes A Major Step Toward Solving One Of Math’s Biggest Mysteries: The Kakeya Conjecture first on TwistedSifter.

Two mathematicians say they found a glaring hole in a proof that has convulsed the math community for years.

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.

Summer Haag, Clyde Kertzer, James Rickards and Katherine E. Stange disprove the Local-Global Conjecture for Apollonian circle packings in a summer research project.

The simple math hid a thorny problem, however, and no one has ever proved the Collatz conjecture. Recently, a mathematician at the University of Hamburg has published a proof of the conjecture.