i don't know whether it will be appropriate to ask this question here or not but i need help. we have to a project in either pure or applied mathematics. my supervisor told me that it should not be something like a reading course but should contain some new topics. i have covered upto field extensions in abstract algebra and have read some point-set topology (upto chapter 4 from Munkres' topology). i also have studied differential geometry which includes global and local differential geometry of curves and local differential geometry of surfaces. now, i am seeking some potential topic for my project which may be on the interface between algebra and topology or differential geometry and topology but am unable to find. so , i request you to please suggest some topics for my project.