A modern version of Bletchley Park is being set up to help GCHQ with its work on cracking codes.
GCHQ codebreakers are based in the Cheltenham 'Doughnut'
The institute, to be jointly run by GCHQ and the University of Bristol in the West, will employ a team of 20 to 30 "high calibre" pure mathematicians.
It hopes to open next year and has been compared to Bletchley Park, where the German Enigma code was cracked during the Second World War.
A GCHQ spokesman said the work would look at the maths used in encryption.
The centre is advertising for a pure mathematician to act as director on a salary of £75,000.
Workers must be British citizens.
A joint statement from GCHQ and Bristol University read: "We can confirm that the new institute will be linked with a theoretical research programme into key
areas of mathematics of interest to GCHQ.
"The institute's director will help recruit and then lead a team of high calibre academics working on mathematical research, not only for GCHQ but also
for academic purposes."