What are some open problems that would make a good honors thesis.

[Silvers931]

I'm interested in topology/differential geometry and before I eventually graduate I am looking to complete an independent study in the subject.

What are some open problems that would be a good fit for an undergrad like me?

 

[WWGD]

You mean in the sense of doing a survey about the problem?

 

[Silvers931]

Well, original research, like a topic other mathematicians haven't got around to yet.

 

[WWGD]

This will take a lot of time, energy and supervision unless (and even if) you have an exceptional background. It is not just a matter of intelligence; graduate-level Mathematics is exceptionally -technical and it is very difficult even to even get definitions you can understand. I don't mean to dissuade you, but just to let you know what to expect.

 

[micromass]

https://www.amazon.com/dp/0444887687/?tag=pfamazon01-20
https://www.amazon.com/dp/0444522085/?tag=pfamazon01-20

 

[Matterwave]

https://www.amazon.com/dp/0444887687/?tag=pfamazon01-20
https://www.amazon.com/dp/0444522085/?tag=pfamazon01-20

I wonder how many of the problems from book 1 have been solved? It's been 24 years, I hope mathematicians have been working hard!