Burish served as team captain at the University of Wisconsin. He had 12 points (seven goals, five assists) playing in all 26 games his junior season playing on Wisconsin’s top line with sophomore Robbie Earl and freshman Joe Pavelski.
During his sophomore campaign in 2003-04, Burish was one of only six Badgers players to have played in all 43 games. He had 19 points (six goals, 13 assists). Burish led the team in short-handed goals with two. He notched his first collegiate goal on November 7, 2003 versus Michigan Tech.
In his freshman season in 2002-03, Burish played in 19 games, with six points (all assists). His first collegiate point came back on October 19, 2002 versus non-conference opponent Alabama-Huntsville. Burish missed the final 19 games of his rookie season due to injury.
Prior to arriving at the University of Wisconsin, Burish played for the Green Bay Gamblers (USHL), where he amassed 57 points (24 goals, 33 assists). His 24 goals tied him for the team lead. Burish led Green Bay in power play goals (12) and game-winning goals (8). He was named a USHL All Star and participated in the Select 15, 16 and 17 Festivals as well as the Top Prospects Tournament in 2001.