Postdoctoral Scholar / Research Assistant Professor, Geometric Integration, Mechanics, and
Control
Department of Mathematics, Purdue University, West Lafayette, USA.
A postdoctoral scholarship is available under the direction of Prof. Melvin Leok, to pursue research in one or more of the following areas of interest:
Areas of Research Interest
discrete theory of Dirac mechanics and Dirac structures based on the Hamilton-Pontryagin principle;
multisymplectic variational integrators for Hamiltonian PDEs on Lie groups and homogenenous spaces using techniques from noncommutative harmonic analysis;
propagation of uncertainty in deterministic and stochastic Hamiltonian systems using generalized polynomial chaos techniques, and stochastic Lie group variational integrators;
extending computational geometric control and discrete controlled Lagrangians to systems with uncertainty, Lie groups and homogeneous spaces, and Dirac mechanics;
The position is for three academic years, and it will be partially funded by the National Science Foundation through my CAREER Award, with additional support from the Department of Mathematics at Purdue University in the form of an appointment as a Research Assistant Professor.
The teaching responsibilities of the successful candidate will be 8 semester courses, over the 6 semester period of the appointment. There will be some flexibility in terms of when one satisfies these duties.