But, in general, NSA / GCHQ have many mathematicians working on crypto. Some of them are breaking existing products. Some of them are breaking newer algorithms. Some of them are working on creating newer algorithms.
One example of an important cryptosystem that was invented independently in secret before it was invented is public is public-key crypto. (https://en.wikipedia.org/wiki/Clifford_Cocks)
Employment opportunities for mathematicians are slim, and GCHQ is known for tolerance of the sometimes odd behaviour of people with Asperger's.
But, in general, NSA / GCHQ have many mathematicians working on crypto. Some of them are breaking existing products. Some of them are breaking newer algorithms. Some of them are working on creating newer algorithms.
One example of an important cryptosystem that was invented independently in secret before it was invented is public is public-key crypto. (https://en.wikipedia.org/wiki/Clifford_Cocks)
Employment opportunities for mathematicians are slim, and GCHQ is known for tolerance of the sometimes odd behaviour of people with Asperger's.