Mathematicians can be fascinated by the elegance and beauty of the ideas behind mathematical theories. Mathematical structures are already out there and our goal is to discover them.
Four friends, Mark, Richa, Peter and Tom, play cards every evening. Peter is a probabilist while the other three work in algebra. On one evening they become bored of riffle shuffling.
Most people are familiar with the game Set. A bunch of cards are laid out, and players race to spot a triple where each feature is either all the same or all different. What happens when we consider an expansion of this game?
The gut microbiome works hard to keep you healthy. To understand it, we need to know how nutrients travel through the gut. This is where gut flow enters the story. How can we simulate gut flow with mathematics?