Ralf Spatzier

Ralf Spatzier is the Gopal Prasad Collegiate Professor of Mathematics at the University of Michigan, Department of Mathematics (College of Literature, Science, and the Arts). He holds a Ph.D. in Mathematics from the University of Warwick (1983). His research focuses on differential geometry, dynamical systems, ergodic theory, and rigidity phenomena in geometric and algebraic structures. Key interests include higher rank rigidity, Anosov actions, symmetric spaces, and Zimmer’s program.

Education: Ph.D., Mathematics, University of Warwick (1983).

Research emphasizes rigidity of geometric and dynamical systems under symmetry or curvature conditions. Recent work explores smooth actions of higher rank groups, Carnot metrics, and local rigidity of lattice actions. Notable contributions include classification of Cartan actions and rigidity of symmetric spaces.

Scientific Awards: Gopal Prasad Collegiate Professor (2024), AMS Fellow (2013), Sloan Foundation Fellow (1988). He serves as editor for Michigan Math Journal, Geometriae Dedicata, and Journal of Modern Dynamics.

Advising: Over 20 doctoral students since 1995, including notable researchers in geometry and dynamics. Active in training through NSF RTG grants and inquiry-based learning initiatives.

Labs/Teams: Collaborates widely in geometric group theory, dynamical systems, and rigidity theory. Leads editorial roles and organizes seminars in his research areas.