The Fellows of the American Mathematical Society program recognizes members who have made outstanding contributions to the creation, exposition, advancement, communication, and utilization of mathematics. The 2015 class of fellows included these IMS members:

Maury Bramson, University of Minnesota–Twin Cities: For contributions to stochastic processes and their applications.

Paul Dupuis, Brown University: For contributions to the theoretical and numerical study of stochastic systems, as well as for editorial contributions and mentoring.

James Allen Fill, Johns Hopkins University, Baltimore: For contributions to theory and applications of Markov chains and to probabilistic analysis of algorithms.

Donald A.S. Fraser, University of Toronto: For contributions to the theory and foundations of statistics, as well as for leadership and influence on the advancement of the statistical sciences.

Jonathan Mattingly, Duke University: For contributions to the analysis of stochastic systems.