Undergraduate research in computer science

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Undergraduate students interested in research in discrete mathematics or theoretical computer science are encouraged to explore various topics and open problems, with the P vs. NP question being a notable example. Seeking guidance from professors is essential, as they can provide valuable insights and mentorship. Engaging with faculty by asking about ongoing projects or attending seminars can lead to opportunities for collaboration and deeper understanding. Students should start with manageable tasks and gradually build their expertise. Participating in seminars and preparing talks can enhance learning and networking within the academic community.
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I'm an undergraduate student studying computer science.I am interested in doing some research in discrete mathematics or theoretical computer science.Can anyone tell some interesting research topics or open problems on which i can work on?
 
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There is this blog of a theoretical computer scientist, http://weblog.fortnow.com/, which has some interesting information and also links to other resources in theoretical computer science.
 
P vs. NP.

Barring that, ask a professor! There's plenty of things that a reasonably bright undergraduate can solve but you're going to want someone with experience and a big-picture knowledge of the field to guide you, and you won't find that online.
 
Start small.
ask around your dept. if anyone has projects they could use some help with, whatever help that may be. From there you can work your way up
Don't expect to delve right into solving open problems.
As Will said, find an adviser, make friends with one of your professors and see if they could use your help on their research.
 
You may also consider attending some seminar devoted to the subject, and even prepare a talk! For example I, despite being only 2nd year, attended a seminar about Logic and Computation Theory aimed at people doing their M.Sc. and was even allowed to make a talk about tree automata. If there are research seminars or something like that available, talk to the professors and ask if they will let you attend. Another good idea is to visit a prof during his office hours and simply ask him about his own reasearch.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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