Are you looking for a thesis topic for your Ph.D?
Are you, instead, looking for some problem to solve that, if successful, might result in a publication?
Are you looking for challenges, intrigue, and excitement?
The notebooks you will find on this website, in the form of pdfs, will offer you, I believe, much pleasure.
If you enjoy puzzle solving where a computer program played a major role, these notebooks might indeed be just what you would enjoy.
Each features results of research, in general not published elsewhere.
Each notebook is quite readable, not requiring you to be an expert.
Please feel free to contact me by E–mail, especially if you have a proof that you wish to be made more elegant.