If you are hoping to create a beautiful photograph and you are treating photography as a SUBHOBBY then put your camera down NOW. You will not create anything but mundane, run-of-the-mill images. I don't know what level you are at in Mathematics, but I am sure, to get to that level, it took a lot of hard work and devotion to that subject to get there. If you treat Photography as a hobby then that is all it will be. In order to create beautiful images it takes just as much hard work and devotion as did your maths training.
Except that is simply not a valid perception of photography as a "subhobby"! First, it isn't necessary that someone
ever produce a world class superphoto in order to enjoy the
benefits of photography. Even "mundane, run-of-the-mill images" can have value, and can produce great benefits for the photographer. (Every truly great photographer initially was inspired by the mundane pictures they produced...)
The hard work you mention is what it takes to
consistently make great pictures. But as has been said elsewhere, while nobody ever accidentally paints a Rembrant, it is relatively common that great photographs are total accidents.
I have tried to teach a number of people how to take an interesting photograph. You know what, I can look at a series of their photos and find a few that are composed fairly well and would look pretty good printed. I have them go over the same series and tell me which ones look different, sets them apart, from the rest. They tell me they all look the same to them! This is what I mean when I say intuitive. You can learn all the technical aspects of photography, whether you can learn to SEE, I don't know.
First, a person has to have that particular talent. Those who have a lot of it might be "seeing" the difference by the time they are age 4. Those who don't may never be able to learn how. But perhaps the "average" person doesn't learn it particularly fast or by themselves, and if coached by an inspiring instructor (which requires a different set of talents, that again varies from individual to individual) they
can learn (something).
I'm a few years younger than you, and I'm well aware that over the decades I've learned a great deal about what makes photographs more or less appealing to me. At 20, with either a painting (which I absolutely have no talent for) I could pick out ones that I liked, and all the rest had the "they're all the same" character that you mention. Photographs were the same. At 65 not much has changed with paintings! (Though, after all these decades, it has finally started to make sense to me what Picasso was doing with Cubism!)
However, I've been doing photography for most of the decades between age 20 and 65, and my understanding of what I do or don't like is now vastly more refined than it was 40 or 50 years ago. That's not intuitive, it's a learned skill that takes advantage of innate talent. (I still can't paint, because I simply do not have the talents required. The same is true for playing musical instruments... it isn't going to happen.) I can look at photographs and bore people to death describing exactly what it is I like or dislike about them.
There are Thousands of great photographers, there are billions of lousy photographers. Take a look around these forums. When I bought a Les Paul guitar, years ago, I thought, now I can play just like Les. Didn't happen. I went back to my old Gretsch.
You are
never going to be able to accidentally play even one song the way Les Paul could do almost any song... But even those thousands of great photographers sometimes produce results only by accident, and certainly those billions of lousy photographers are producing a few hundreds or thousands of
great photographs daily (along with the millions that reflect just how lousy they are).