New user in search of academic advice!

[rtista]

How did you find PF?

Hi, while looking up ideas for my undergraduate thesis specifically on topology and influence of manifold theory to some extent, I landed in PF. I went through two conversations very specific to my search and decided to post up one myself in hopes of receiving suggestions on the same.

I am a final year Mathematics and Computing undergraduate. I am expected to submit an extensive B.Sc. thesis in four months. I have previously studied multivariable calculus, differential forms, chains, and a little bit of Theory of manifolds (Calculus on Manifolds, Michael Spivak). I am comfortable with concepts in point set topology and have a limited knowledge in Algebraic Topology (Topology by James Munkres) (having finished courses on abstract algebraic structures beforehand), and plan to expand it within the next 3-4 weeks. I am in search of a topic suitable for an interesting undergraduate dissertation culminating the above mentioned subjects. Thanks to anyone who takes the time to read and write me some input. I am two-minutes into this website new here and hope to find insightful conversations and participate in the same.

 

[fresh_42]

Hello and !

Have you posted this question in one of the technical forums, yet? I suggest https://www.physicsforums.com/forums/topology-and-analysis.228/
or
https://www.physicsforums.com/forums/stem-academic-advising.139/
but it's more of a mathematical question than an advisory one.

This forum is only meant to say hello. I would like to answer and have some questions ahead of it, like what kind of manifolds, how much differential geometry may be involved, and things like that.

 

[rtista]

Hello and !

Have you posted this question in one of the technical forums, yet? I suggest https://www.physicsforums.com/forums/topology-and-analysis.228/
or
https://www.physicsforums.com/forums/stem-academic-advising.139/
but it's more of a mathematical question than an advisory one.

This forum is only meant to say hello. I would like to answer and have some questions ahead of it, like what kind of manifolds, how much differential geometry may be involved, and things like that.

gee thanks! sorry I didn't know where to post. By differential geometry I meant I followed the exact pattern in which the book calculus on manifolds presents the topics: fields and forms, chains, integration on chains, The Stokes' theorem, manifolds.. Thanks! :)