As described here, I'm a developer of the TOPAS Monte Carlo simulation tool for radiotherapy research. To improve our beam source model, I wanted a method to randomly generate uniformly distributed directions that are constrained to a certain region of the unit sphere, centered upon the z-axis (the beam direction). Generated particles are assigned these random directions before they are transported through the simulated geometry, in order to account for beam divergence.
I've decided to create a personal website using the Harvard Scholars toolkit - it seems very versatile so far. This should enable me to explain my research to a wider audience, but it might take a little while to add a reasonable amount of content.