The US Constitution mandates that every decade each state legislature must draw a set of districts for seats in Congress and state legislature. For at least the past 200 years some legislatures have been doing this in a way that they think will favor their own party. The round of redistricting following the 2010 elections had much more aggressive redistricting for partisan gain than there had been in previous decades. This has led to many academics studying the redistricting process from mathematical perspectives. I will survey the results of these studies and talk about the undergraduate research project on redistricting that I have been supervising over the past year.