|Date of birth||5 January 1972|
|Place of birth||Rostock, East Germany|
|Height||1.78 m (5 ft 10 in)|
|SC Paderborn (manager)|
|2008||1. FC Magdeburg||13||(3)|
|2009–2010||1. FC Magdeburg|
|2015–2016||Berliner AK 07|
|* Senior club appearances and goals counted for the domestic league only|
The striker began his professional career at FC Hansa Rostock in 1995. With a two-year interruption he spent six years with FC Hansa, scoring 32 goals in 185 appearances. In 2002, he moved to 1. FC Union Berlin, spending 2 years at Stadion An der Alten Försterei where he became a crowd favourite. In 2004, the club was relegated from 2. Bundesliga, finishing only 17th.
However, Baumgart stayed in the league, moving to FC Energie Cottbus on a free transfer. There he helped secure the 2. Bundesliga in his first season and won promotion to Bundesliga in 2006. Cottbus managed to not be relegated in their first season in the top flight in Germany, but the next season saw Baumgart hardly playing for the first team, and on 3 January 2008 club and player agreed to a mutual termination of the contract. On 22 January, Regionalliga Nord side 1. FC Magdeburg announced Baumgart had signed a contract until June 2008 with an option for another season. After the club missed out on qualifying to the new 3. Liga, Baumgart's contract was not extended and he left the club for Germania Schöneiche, a club near Berlin. On 31 March 2009, he returned to 1. FC Magdeburg as a manager and signed a contract running until the end of the season. His contract was extended at the end of the season, despite a mediocre record in the league. Baumgart had won the FSA-Pokal in 2009, but he was unable to improve upon the results of his predecessor. On the contrary, Magdeburg were ten points behind a promotion spot by the end of December. Following a string of bad results when league play resumed in 2010, Baumgart was let go at the end of March.
In 2017, Baumgart signed with SC Paderborn. His contract is dated until 30 June 2021.
Baumgart scored 29 goals in 225 Bundesliga matches and 36 goals in 142 matches in the 2. Bundesliga.