So I am an undergraduate student in my third semester and I am mostly done with my double major in Pure and Applied Mathematics/Statistics. I will be done with the requirements for my bachelors by my fifth semester at the latest.
If I want to go for a PhD in Pure Math, would I be better off graduating after my 5th semester or pushing some classes back, taking graduate level classes and seminars in my 6th semester and doing an undergraduate thesis? I have some research done and will be doing more next semester, but that is nowhere near what I would do for the honors thesis.
Alternatively, I could go all out next semester and graduate then. However this would leave me very little time to study for the subject GRE (I am good with the general GRE) and to actually apply for schools due to how busy I will be.
I tried to make this a good question by including as much information as I thought was relevant, but if there are any questions or anything I forgot to mention then please let me know.
Does anyone have advice?