[5] Before being elected as Bedford Town Supervisor, Burdick held a senior counsel position at Stewart Title Insurance Company of New York.

Burdick gained the most votes in the Democratic Primary but lost to Republican Party candidates William Cary Edwards and Walter M. D. Kern, Jr in the General election.

[8] Burdick won the Democratic primary for the 93rd Assembly race,[9] and went on to win in the General election, defeating Republican candidate John Nuculovic.

[11][12] In 2022, Burdick faced a challenge from Gary Lipson, a local attorney based out of White Plains, but won reelection with more than 63 per cent of the vote.

[13] Burdick is a member of the New York State Assembly committees on Correction, Environmental Conservation, Housing, People with Disabilities, Veterans' Affairs and Banks.