‘Conjectures in mathematics are like lighthouses’ Prof Mahesh Kakde, winner of the Infosys Prize 2022 in the field of mathematics, talks about why number theory fascinates him ...

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

Knot theory is a branch of topology that has surprisingly practical applications, such as understanding how proteins coil DNA ...

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.

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.

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 ...

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 ...

Caroline Klivans, senior lecturer in applied mathematics and computer science, achieved every student’s dream and proved her former advisor wrong. The Partitionability Conjecture was postulated by ...

Wei Zhang, Fourier transform and the global Gan—Gross—Prasad conjecture for unitary groups, Annals of Mathematics, Vol. 180, No. 3 (November 2014), pp. 971-1049 ...