Alberts played high school hockey for Benilde-St. Margaret's School from 1997-1999. Alberts played collegiately for Boston College from 2001-2005 with a total of 66 points and 243 penalty minutes in 149 career college games. He didn't miss a game until suffering two knee injuries during his senior year in 2004-05. He was named an East First Team All-American in 2004 and 2005. He was named to the Hockey East First Team All-Star, Hockey East All-Tournament Team, and All American all in the year that the Boston College Eagles won the Hockey East Title.

 

He was drafted 179th overall by the Bruins in the 2001 NHL Entry Draft