Fields Medallist June Huh tells us about maths you can "feel and touch" and why maths mirrors who we are as a species

Huh may have had relatively late start in mathematics but his work with maths you can feel and touch has won him a Fields medal.

June Huh has been awarded a Fields Medal for work on combinatorics and algebraic geometry.

Whether you want to understand viruses, win at lotto or solve a rubik's cube – you'll need some help from combinatorics.

One of our favourite problems from our sister site NRICH opens a door to the world of combinatorics and symmetry.

Mathematicians have proved a new result in the field of combinatorics.

Euler may not have cracked this problem completely, but it led to a lot of important work, including on what we today know as sudoku.

How many possible genetic relationships are there between a collection of different species? The answer is mind-bogglingly large.

Given there's a finite number of notes on a scale, can we still find a brand new melody? Perhaps they've all been written already!

Can we always find order in systems that are disordered? If so, just how large does a system have to be to contain a certain amount of order?

How do you best allocate students to universities, doctors to hospitals, or kidneys to transplant patients? It's a tough problem that has earned this year's Memorial Prize in Economics.