By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

Group theory serves as a fundamental language for describing symmetry in both mathematics and physics. Finite groups, defined by their limited number of elements, are central to modern algebra and ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

It's been more than 20 years since Rubik's Cube, the maddening, multicolored brainchild of a Hungarian architect teacher, hit the American market full force. Now, two decades after the cube craze ...

Hypergroup theory extends the classical framework of group theory by generalising the binary operation so that the result of combining two elements is a subset rather than a single element. This ...

There is an anti-Ramsey theorem for inhomogeneous linear equations over a field, which is essentially due to R. Rado [2]. This theorem is generalized to groups to get sharper quantitative and ...

After the star-studded mystery thriller The Number 23 debuted in cinemas in 2007, many people became convinced that they were seeing the eponymous number everywhere. I was in school at that time, and ...

A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians. One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook ...

In the words of Imre Leader, a Professor at the Cambridge University: "The fundamental kind of question Ramsey theory asks is: can one always find order in chaos? If so, how much? Just how large a ...