Proving the “discrete” periodic tiling conjecture for high-dimensional lattices is a slightly different problem than proving the continuous version of the conjecture, as there are tilings that ...

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.

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 ...

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

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.

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

The Mizohata–Takeuchi conjecture is about identifying when this breakdown happens, especially when the underlying math is not smooth enough.

Fernando Soria, Examples and Counterexamples to a Conjecture in the Theory of Differentiation of Integrals, Annals of Mathematics, Vol. 123, No. 1 (Jan., 1986), pp. 1-9 ...

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 ...