What parts of a pure mathematics undergraduate curriculum have been discovered since $1964?$ What parts of an undergraduate curriculum in pure mathematics have been discovered since, say, $1964?$ (I'm choosing this because it's $50$ years ago). Pure mathematics textbooks from before $1964$ seem to contain everything in pure maths that is taught to undergraduates nowadays.
I would like to disallow applications, so I want to exclude new discoveries in theoretical physics or computer science. For example I would class cryptography as an application. I'm much more interested in finding out what (if any) fundamental shifts there have been in pure mathematics at the undergraduate level.
One reason I am asking is my suspicion is that there is very little or nothing which mathematics undergraduates learn which has been discovered since the $1960s$, or even possibly earlier. Am I wrong?

As elementary number theory is still considered to be a pure mathematics course, much has entered this field which is currently being applied. In 1964, there was no Diffie-Hellman nor RSA public key cryptography; nor were elliptic curves being used for digital signatures, key agreements, or to generate ``random'' numbers; nor were computers an integral tool in cryptography. There were no sieve methods as far as I know, being taught at the undergraduate level, for they had yet to be invented. And besides, the main focus of cryptography in 1964 was on encryption. All that has changed---semiprimes, academically speaking, are now in vogue; a solution to the discrete logarithm problem ranks much higher (I dare say) than it did a half century ago; and even the amateur is trying to grasp at the notion of what quantum computing is all about.        
