My research lies at the interface of mathematics and real-world physical phenomena. I model physical systems using ordinary and partial differential equations and employ functional analysis, asymptotic and perturbation analysis, numerical and optimization methods, and most recently data science to analyze the models in detail. Specifically, my areas of interest include linear and nonlinear wave propagation and renewable solar energy. The over-arching goal of my research is to connect between the mathematical and physical aspects arising from these problems and make reliable and useful predictions about physical systems.


Below are a few examples from my research

  Oblique dispersive shock wave and turbulent flow

  Collpase of a dipolar BEC candlestick mode

Luminescent solar concentrator

  A nonimaging reflector optimized using Pattern Search: convergence to the ideal shape

Back to my homepage