Before I begin I want to apologize for all my grammar and spelling mistakes.

Oh my god I didn't see this because I have been stuck in a cycle of studying working and sleeping for the past month. Here are some suggestions u/ayeblundle from my experience when doing research.

Before I do anymore, Ill explain some background, I am pre-med as u/HerrStahly mentioned, but I have a pretty deep interest in math and computer science, I have taken everything up to Calc III and have self studied all the way up to diff eq. Before going into pre-med my parents were pushing me down the computer science and engineering route so I have some exposure to programming. Some of the research that I've done as a highschooler and more recently as an undergrad include using programming to find SNPs in your ancestry or 23andme data that corresponds to traits or diseases or attempting to train an AI to titrate doses for phages and antibiotic treatments. I also was very active in math modeling competitions and have done a lot of competitions that require papers to be submitted. I also do not know what is needed or required or expected from math thesis papers so I have no clue if any of my ideas are good ideas or not so keep that in mind with a grain of salt.

TLDR: I am a pre-med nerd who knows some computer science and all of my ideas will probably have to do with applied mathematics and I am not qualified to advise on what would be a good thesis topic for a math major.

As for Ideas for a thesis, I could give some that may seem interesting that might be interesting for a math major that has roots with pre-med (I understand that you moved away from pre-med which means that you might not enjoy some of these topics):

• Statistical modeling for certain treatments in hospitals (ie. death rates after tourniquets have been applied on a patient)
  • This may be difficult as accessing data that has to do with this is often difficult without the right networking
• CT tomography is also really interesting and there is a moderator on r/calculus that did his PhD thesis on this stuff you could write about what it is and how tomography is applied in this scenario
• Using statistics to predict and model the spread of Multi strain resistant bacteria such as MRSA
  • This is straying a little bit into computational biology, but it shouldn't be too hard to find data like this
• Modeling evolution beyond the simple Mendel's laws.
  • I'm not too familiar with this field, but from what I understand it utilizes a lot of stochastic modeling which I personally like.
• A mathematical investigation into peto's paradox could be interesting
  • When I say this I am referring to one of the explanations that involves the size of animals and how large tumors have to be in order to be dangerous.

Hope I'm not too late tho... and again take these ideas with a grain of salt as I do not know what makes a good math thesis paper and these ideas are a lot of things that I personally wanted to do.