Erhan Bayraktar at Kolmogorov's house, holding a functional analysis book; a framed photograph of Kolmogorov lecturing is visible at left
At Kolmogorov’s house, September 2012 · Photo by Umut Çetin. The framed photograph at left shows Andrey Kolmogorov lecturing; I am holding his book on functional analysis.

Research profile

Stochastic analysis, control, applied probability, and mathematical finance.

I am a professor of mathematics at the University of Michigan. My research lies at the intersection of probability, stochastic analysis, optimization, and machine learning. I develop probabilistic and analytical methods for mathematical finance, stochastic control, reinforcement learning, mean-field games, and interacting-agent systems, with a particular interest in decision-making under uncertainty and the behavior of large populations.

Director, Quantitative Finance and Risk Management Program