This falls outside the scope of "basic facts", but it seems interesting enough to mention here: apparently the seminar in our AG group in Hannover this week will be about applying resolution of singularities (more specifically, the concept of log canonical thresholds) to a problem of Bayesian statistics. Maybe this is a standard technique, but it certainly surprised me.
Abstract: http://www.iag.uni-hannover.de/de/oberseminar/abstracts/abstract.php?in=lin_de.html
