Reference number ORU 2.1.1-03373/2026

Örebro University and the School of Science and Technology are looking for a doctoral student for the doctoral programme in mathematics, concluding with a doctoral degree.
Start date: Autumn semester 2026.

Project description

To invest in stocks or some other fluctuating commodity requires, in most cases, some mathematical model of risk, return (profit), or utility (some balance between risk and return). A classical model goes back to 1952 and Markowitz. Later, more advanced models go under the name Modern Portfolio Theory. Those models may be ill-posed, meaning that changes in data might result in very different investment strategies. One such example of ill-posedness is when some of the commodities are highly correlated. This project is about analyzing such ill-posed portfolio optimization and developing stable and efficient algorithms for solving them.

Supervision: The doctoral student will be ...