# Fredrik Viklund

Professor in Mathematics

Nature is full of examples of how small random patterns work together to form complicated structures on a larger scale. Vastly different phenomena can randomly create similar geometric shapes and patterns that, despite this, become predictable.

Fredrik Viklund uses mathematics to understand patterns and structures that are found in nature and physics. He uses and develops mathematical models to study universal geometric and analytical structures. His research spans the borders between probability theory, mathematical analysis and physics.

He also seeks to explain mathematically why developments of quantum mechanical ideas, so-called quantum field theories, work so well in describing among other things so-called critical phenomena within statistical mechanics. Quantum field theories make up some of the most important tools of physicists in studying nature while at the same time in many cases, exact mathematical constructions of them have still not been produced.