It turns out, that if quantum computers are ever built.
Both of these problems could then be solved in polynomial time on
a quantum computer.
And so for that reason, people who are thinking ten, 20,
30 years ahead are already worried about, what will replace modern day
public key cryptosystems, in case a quantum computer is ever built.
And so people are investigating various other assumptions.
On which to base public key cryptography.
And there's much, much more beyond that.
And what I would encourage you to do if you're really interested,
is to take a look at the web page for
the International Association for Cryptologic Research, IACR.org.
And take a look at both their flag ship conferences, Crypto, Eurocrypt,
and Asiacrypt.
Held annually, as well as the journal,
journal of cryptology that they are in charge of publishing.
And there you can get a sense of what kind of problems,
researchers in cryptography are working on nowadays and
see what interests you and develop your tastes that way.