I'm currently a sophomore at a Canadian university, and due to some recent head butts in a few maths classes, I'm realizing I don't know what I want to do in grad school (or if I even want to go for mathematics alone).
I'm currently interested in differential geometry, combinatorial optimization and applied mathematics, despite doing poorly in a discrete course and modelling course (are these red flags that indicate I should consider other fields)? I'm also planning my upper level course (which I know will weigh more on grad school applications), but I don't even know what to take? Is there a list somewhere with brief descriptions of different institutions (I'm interested in Canadian, US, and UK institutions)? I'm hoping maybe finding a good program for myself would give me some guidance on courses to take too.
Also, are there institutions that combine maths with non-science disciplines? Is that even a thing that is possible in grad school (masters or PhD, however, I was told the two were quite different to answer, so I understand if it's too broad a question). Another worry is that I'll go to grad school and end up getting bored of what I do, so how does one combat that before they go in, or even apply?
Thanks in advance for any answers, I'm just having a typical second-year crisis where I don't know what to do, and thought it was time I got myself some answers.
The American Mathematical Society maintains a searchable database with specialties of US and Canadian institutions.