If you are thinking about graduate school, but unsure if it's for you, there are short programs which work as a 'trial' for graduate school while also building your resume and making you a better applicant. I did this certificate at Iowa State University before committing to further school: Postbaccalaureate at Iowa State
Something you can do to further explore mathematics during your undergraduate degree is participate in maths-focused study abroad programs. Had it not been for covid, I would be able to personally recommend this program, Budapest Semesters in Mathematics, and I'm sure there are many more like it.
If you are considering graduate school or programs like the above, I'd be happy to answer any questions you might have.
Integer Sequences - I am not responsible for these OEIS entries, but I have spent some time thinking about a problem which leads to integer sequences A088442 and A347325. Graphing the two sequences together hints at a close relationship between the two.
Image Compression - One of the more memorable projects I've been assigned in an undergraduate/masters maths class invovled creating a program to compress an image using Singular Value Decomposition.
I am an avid(ish) runner and rock climber. I'm always happy to have a running or bouldering partner.
I also enjoy a good boardgame night. Here are a few of my favorites:
Wingspan - This is my wife and I's top choice recently. We got hooked on the 2-player Asia Expansion.
Ricochet Robots - Try to get a robot to its target in the fewest moves. Shortest path wins a point.
Camel Up - An chaotic game where players bet on a dice-controlled camel race in which anything can happen.
One Night Warewolf - This game captures the essence of party games like Mafia in a quick and addicting format.
Pit - A fast paced and loud card game where everyone scrambles to be the first to complete their hand.
Small World - Risk meets Lord of the Rings.
Wavelength - Guess the meter level based on clues like: "Batman, on a scale from Villain to Hero".
Some games I'd like to try:
Between Two Castles of Mad King Ludwig
Cathedral
Heat: Pedal to the Metal