I find it hard showcasing my work in a simple way. Do you have any advice on how to simply research papers or big projects into something easier to read for a hiring manager?

I'm a big fan of the pyramid principle. The idea here is to have a very simple starting point --- a one sentence description of what your project was about and why it was successful.

Then begin providing additional details that are still high-level, but that support the top observation/idea at the top of the pyramid. Keep breaking things down this way. This idea is discussed online in many places, and there's a fantastic book on the topic too.

When you do summarize your points, especially the ones nearer the top of the pyramid, try to avoid jargon and really focus on the results of what you're saying. This helps non-technical people appreciate your achievements and projects as well.

+1 on the pyramid principle.

I suggest sticking to a clear structure so hiring managers can clearly read through your projects. E.g., Role (my role in the project), Goal, Approach, and Insights to Action (outcomes/implications). I mentioned this in a previous post but reiterate here because I think have a consistent way about talking about projects is really helpful and clear for someone to follow. It allows for a manager to quickly follow what you've worked on and compare across projects.