I wouldn't fully remake it. It's a classic. Just watch it with that explanation in mind. It makes it more plausible.
Maybe what the mathematician did was crack a gigantic outstanding problem in scaling quantum computers that allowed e.g. extraordinarily effective quantum noise reduction at scale.
I do the same thing with Prometheus - I watch the Weyland TED Talk before the film and view the film as a man that considers himself a god trying to meet god.
That movie was so weird. It had flashes of brilliance but also a really dumb "idiot ball" plot in a lot of ways. Astronauts would never be as stupid as they're depicted in that film, things like "oh gee I think I'll take my helmet off around all this potential biohazard."
It also doesn't really work in the Alien universe at all. It would have been much better had it been set in an entirely different 'verse, maybe even its own things.
IMHO the Alien canon should be: Alien, Alien Romulus, and Aliens, in that order (since Romulus is in fact supposed to occur between those other two in-world). Maybe the sequel to Romulus (and Aliens) could be an updated adaptation of the William Gibson script that begins when Rain reaches the "non-Weyland colony" (which would kinda fit with Gibson's script).
My opinion on Interstellar is similar. It had brilliant moments (and visuals!) but overall I didn't like it. I couldn't get past things like: okay, so we are in a kind of semi post-collapse world apparently run by milquetoast descendants of the Heritage Foundation. Where exactly did they get a starship? Did they just have, like, a warp drive sitting around up on concrete blocks in someone's lawn? What? Also they had to lift off from Earth with chemical rockets, but somehow they're able to lift off from much larger planets later without thinking about delta-V budget at all. Sorry but if you're gonna say it's hard sci-fi it's gotta at least try to know something about physics and have coherent world building.
> Astronauts would never be as stupid as they're depicted in that film, things like "oh gee I think I'll take my helmet off around all this potential biohazard."
My head-canon explanation for this is that a good portion of the crew specifically were not astronauts -- they were experts in their field (geology, anthropology, etc.). And true-to-form, they were dismissive of other experts telling them NO, NO DO NOT REMOVE YOUR HELMET. And once the first few were exposed the others decided well, if there's a problem with it we're already screwed anyway.
Maybe what the mathematician did was crack a gigantic outstanding problem in scaling quantum computers that allowed e.g. extraordinarily effective quantum noise reduction at scale.