I'm inspired by the polymath project. It might be great for few undergraduates to work together on a research topic.
What are some research problems with the following properties(Experimental mathematics is a field containing problems with the criteria below):
- Accessible to undergraduates
- There can be many reasonable approaches to the problem
- People with computer science, applied math or other related backgrounds can also contribute
Best Answer
Pick any of the problems in the archives of Al Zimmermann's Programming Contests, and make progress either on the theoretic side (tighter upper bounds / lower bounds / asymptotics) or the computational side.
A specific nice example could be Point Packing.