Gareth Jones was one of three students given prizes at the 2006 BAMC by SIAM UK-Ireland for a postgraduate presentation. It was entitled "Buckling of a spherical shell embedded in an elastic matrix with a uniaxial stress field at infinity".

Sir Roger Penrose has been presented with the 2006 JPMB Communications Award.

Marcus du Sautoy is awarded the Sartorius Prize for 2005 by the Academy of Science in Gottingen for his book The Music of the Primes. The prize is awarded for an outstanding recent publication which increases public understanding of science and technology.

Dr Bernd Kirchheim of the University of Oxford was awarded a Whitehead Prize for his fundamental work in several areas of real analysis. His results in geometric measure theory include a proof that rectifiable metric spaces have density one, a metric differentiation theorem, and a surprisingly powerful extension with Ambrosio of the Federer-Fleming theory of currents to general metric spaces. His results in the calculus of variations include a proof that the quasiconvex envelope of a continuously differentiable function remains continuously differentiable and a complete solution to the problem of existence of non-trivial Lipschitz self-maps of the plane whose gradients attain only finitely many values.