Research Publications

John Gemmer

Research Interests:
I am interested in the modeling and analysis of phenomena occurring in the physical sciences. Many of the problems I study are nonlinear and the mathematical techniques I use in my research range from applied analysis, variational techniques, asymptotic analysis, differential geometry and the simulation of numerical models. Particular areas and problems I have studied include pattern formation in swelling thin elastic sheets, phase shaping of optical beams, and morphogenesis.

Below you will find clickable images with links to descriptions of various past and current projects I am working on. In particular, undergraduate students looking for interesting projects should look at nonlinear dynamical control theory and Brachistochrone problems. Students interested in these topics can contact me directly by e-mail.
      

Swelling Thin Elastic Sheets

Optics

Nonlinear Dynamical Control Theory

Brachistochrone Problems