I feel a little bit trapped here. Sure, I can keep applying for graduate school each year, but eventually there is going to be a natural bias towards those with a more 'fresh' education, right? Like the longer I am unable to find a supervisor (or general professor to grant me research experience outside graduate school), the worse my graduate school application looks? What are your thoughts?
I am in Canada
This is my second year applying, and I have not gained any formal education since I graduated.
I am looking to go to graduate school for mathematics (Abrstract algebra or alternatively something else using subject matter from abstract algebra and logic)
My goal is to become a math professor. I am interesting in both the teaching and research aspect of said job.
Bonus Questions: (if these make you feel uncomfortable in anyway, please ignore them)
Would asking the same professors to make recommendation letters (possibly each year) be weaker given the length of time from when they taught me?
Typically, would they just submit the same letter as last time?
Is it taboo to ask professors who you want to seek out as a supervisor to write a letter of recommendation from?