To get the regular mantra out of the way: Humans are always the weakest link.
But, speaking algorithmically, it is likely you can rely on a well-vetted symmetric algorithm like AES, used conservatively according to current best practices, to keep information secret during your lifetime.
Asymmetric algorithms are another matter. RSA relied on unproven assumptions that are turning out to be squishier than we might have hoped. ECC relies on assumptions that, for the moment, appear less squishy. I'm not a mathematician, so I can't have a truly informed judgement on how likely they are to remain unsquished, but the empirical history of public-key crypto means my confidence in ECC will remain well below my confidence in the likes of AES.
But, speaking algorithmically, it is likely you can rely on a well-vetted symmetric algorithm like AES, used conservatively according to current best practices, to keep information secret during your lifetime.
Asymmetric algorithms are another matter. RSA relied on unproven assumptions that are turning out to be squishier than we might have hoped. ECC relies on assumptions that, for the moment, appear less squishy. I'm not a mathematician, so I can't have a truly informed judgement on how likely they are to remain unsquished, but the empirical history of public-key crypto means my confidence in ECC will remain well below my confidence in the likes of AES.