A German international on nearly 30 occasions, he represented his country at one UEFA European Championship and one FIFA World Cup, reaching the 2002 final in the latter tournament.

[4] After amassing more than 150 overall appearances and having represented the club in all three major levels of German football, he moved in 1999 to Werder Bremen.

[5] At Werder Bremen, Baumann was the first player to be signed by the new coach Thomas Schaaf and became an instant first choice, netting five goals in his first season; even though the club only finished ninth, it qualified for the UEFA Cup via the second place in the domestic cup, after losing the final to FC Bayern Munich.

Due to his calm demeanor and his clear style of play, he enjoyed a high reputation within the team.

Baumann scored the goal that took Bremen to the 2009 UEFA Cup Final, in the second leg of the semifinal against Hamburger SV, from a corner conceded by after the ball had deflected off a crumpled up piece of paper thrown from the home supporters.

[9] His debut for Germany came in a 1–0 victory against Norway in Oslo, on 14 November 1999, becoming the 800th player to be capped by the German national team.

[13] In May 2009, Baumann became Werder Bremen's assistant general manager, joining another former player, Klaus Allofs, in his staff.

[14][15] Following his career as a professional footballer, Baumann switched to SV Werder Bremen's management at the beginning of 2010 after taking a six-month "break".

In this position, created especially for him, he worked directly for the managing director of professional football Thomas Eichin.

[20] The foundation was founded in 2000 by Jürgen Klinsmann, other successful national players and the lecturers of the football teacher special course.