The Department of Mathematics and Statistics has experts working on a variety of aspects of dynamical systems, including infinite-dimensional dynamical systems and partial differential equations, bifurcations, computation, multi-scale systems, pattern formation, and stochastic systems. The group is also strongly connected to the applied mathematics and probability groups within the department and organizes the Dynamical Systems Seminar and jointly organizes the Brown, BU, and UMass joint Dynamics and PDEs Seminar.

Faculty:

  • Margaret Beck: dynamical systems including PDEs, stability, spatial dynamics, computer assisted proofs, and topological and geometric structures that govern solution behavior
  • Paul Blanchard
  • David Fried: topology of smooth flows, symbolic dynamics, geometric structures
  • Ryan Goh: dynamical systems including applied PDEs, pattern formation and computation
  • Tasso Kaper: dynamical systems including applied PDEs, multi-scale systems, pattern formation, delayed bifurcations, spatio-temporal canards, and multi-mode attractors
  • Nancy Kopell: mathematical problems in neuroscience, including how does the brain produce its dynamics (physiological mechanisms), how do brain rhythms take part in cognition (sensory processing, attention, memory, motor control), and how can pathologies of brain dynamics help to understand symptoms of neurological diseases (Parkinson’s disease, schizophrenia, epilepsy) as well as alternate states of consciousness (anesthesia)
  • Gabe Ocker: mathematical neuroscience, applied stochastic processes, and dynamics
  • Gene Wayne: dynamical systems, partial differential equations, and mathematical physics

Emeritus Faculty:

  • Bob Devaney: complex dynamics and chaotic behavior of systems

Postdocs:

PhD Students:

  • Alanna Haslam
  • Ben Hosek
  • Vanny Khon
  • Ben Krewson
  • Rob Jencks
  • Trevor Norton
  • Hannah Pieper
  • Eric Zhang