How did you come to study mathematics?
My path to mathematics was definitely a journey with a few plot twists. It all started with my passion for drawing, which is why I initially studied product design. During my internship, I tried to arrange a semester abroad in illustration, but my application was rejected. The frustration this caused and the realisation that I wasn't finding fulfilment in purely creative work eventually led me to chess. That's where I really gave my analytical side free rein for the first time. The joy of solving little logic puzzles became a refuge for me in this situation. That set off a chain reaction that ultimately led me to mathematics.
What fascinates you most about mathematics?
For me, mathematics is the perfect combination of analytical precision and creative freedom. I compare it to a game of chess (who would have thought?): First, you can search for an elegant solution in an almost dreamlike state and take on new perspectives in order to see the decisive path in the first place. But as soon as the creative idea is in place, the hard analysis follows: you have to check very carefully whether the strategy works in reality. In mathematics, as in chess, one alone is not enough.
Can you perhaps add something surprising to this analogy?
Former world champion Mikhail Tal once said: ‘You have to take your opponent into a deep forest where 2+2=5, and the way out is only big enough for one of you.’ Of course, “The Magician from Riga” was originally referring to his risky playing style and his unique way of sacrificing pieces. Nevertheless, I think that if you rethink the quote a little, it can describe quite well what mathematics is all about. To solve complex problems, we must willingly enter this forest. We must leave the safe paths and accept that our previous logic has reached its limits. The greatest breakthroughs are often achieved precisely where old reasoning no longer applies. You risk a piece of your usual way of thinking in order to return from the forest with a completely new truth. (Besides, sometimes 2+2=5.)
What do mathematicians actually do?
It depends very much on the type of mathematics you are considering. Applied mathematics is about treating reality like a giant word problem: you break down complex issues into essential data and objects in order to better understand them using mathematical tools. In pure mathematics, on the other hand, the focus is on creating and refining these tools in the first place. The goal here is to be able to make statements that are as profound and universally valid as possible.
Are you more of an applied or pure mathematician?
During my bachelor's degree, I deliberately left room for both sides, pure and applied mathematics. During my master's degree, however, I moved more and more towards the applied side. I am particularly interested in the mathematical and, above all, numerical perspective on quantum chemistry. This could be classified as applied mathematics. Nevertheless, it always feels like meeting an old friend when I can draw on more abstract tools from pure mathematics.
Jonas Beck M.Sc.
Award winner for outstanding M.Sc. degree in the Department of Mathematics