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. Read more about Generating random directions in a beam model
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.