The new 17,000m 2building will be zinc clad and split into three cantilevered 'sliding fingers'.
The mathematics and astronomy blocks are to be linked by a four-storey atrium and the proposed bridges will provide interactive areas for professors, students and researchers.
Looking onto the new University Place, the scheme will boast an over-sailing roof which will act as a suspension system for solar-shading louvres and will allow roof-level plant screening.
Lee Bennett, design director for the project, said: 'The design of a building unifying such diverse disciplines was a challenge which was met with enthusiasm and determination by The University of Manchester.
'The new accommodation will serve to support the growth of the university's research ambitions and provide a modern invigorating environment for students and professors alike'.
The scheme is expected to start on site in November and will open its doors to students in June 2007.