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im a pure math major and going into my sr year next semester

im supposed to apply to grad schools sometime next year as well, but I have

a problem. I dont think id have a problem getting into a program my GPA is 4.0 in all

my math courses and ive taken quite a few including some in topology algebra number

theory analysis linear algebra complex analysis and logic and i think i have a good basic

understanding of these courses (a lot of which are prereqs for grad school level courses)

But, grad school is different ...youre moving from doing generic textbook problems to having

to choose and write a thesis topic

I find this really intimidating ...considering the greatest geniuses in human history have

been studying these subjects for centuries to think that I should be expected to come up

with something semioriginal myself is intimidating

And this isnt a small decision ...whether I should go to grad school or not, it costs money

takes time and what subject i choose to puruse after undergrad will determine my

future career choices! So I'm scared to say the least

So Ive decided that my best option is to take this summer and see if i can write a mini

thesis. If I can at least write something down to my liking then I'll know that I have

the potential to go onto grad school, but if I cant im not sure i want to risk it

and maybe ill choose a different subject to major in

The only problem with that is, ive never been told how to start a thesis, or even how to choose a topic...I googled and found undergraduate research experiences offered at various universities --mine does not have these unfortunately.

So Im basically wondering if someone could help me choose a topic and give me some suggestions/insights on where to start. I'm willing to read and research different papers and books in the topic area myself ...but as ive said i only have undergraduate level knowledge in these subjects

Thanks for any help

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# Transitioning from undergrad to grad school

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