AIM: an invitation to explore mathematics together

[This is a guest post by Matthew Colbrook. This blog post was initially written in a different file format and converted using AI. — T.] (Disclosure: ChatGPT helped me write and refine this post.) Inspired in part by the recent discussions on this blog, we have started a new project, AIM, an initiative to create a community-led opportunity for mathematical exploration. Since AI can make some conjectures easier to resolve, we would like to explore how these developments can be used to benefit the mathematical community, enhancing our learning and understanding. Modern developments in AI bring both excitement and uncertainty in our field. We hope to create opportunities for mathematicians, especially students and early career researchers, to shape what comes next by asking good questions, working on problems, and developing the ideas and applications that come with them. We have collected a list of open problems in applied mathematics and related fields along with their precise…