Microlocal Analysis - A Unified Approach for Geometric Models in Biology

This project will use microlocal analysis to create a unified approach for predicting the outcome of a broad class of
diffusion and reaction-diffusion models. This will replace the traditional theory which is no longer adequate for the
level of geometric complexity demanded of current models arising in biology/ecology. This project will address the
urgent need for a systematic theoretical underpinning of diffusion/reaction-diffusion in geometric settings whose
scope of application is broader than the the existing patchwork of methods.