This is a guest post by Abhinav Nellore, Johannes Schmitt, Soledad Villar, and Rachel Ward – T.] OpenAI’s math write-ups at can be difficult to understand and can have incomplete ...

The IAS has opened its application page for its membership program for the upcoming year. This by itself would be unremarkable — the program does this every year — but there is an ...

In the spirit of my recent “Math 2.0” talk on new ways to use AI assistance to enhance the human understanding of mathematics ...

[This is a guest post by Tristan Buckmaster. This blog post was initially written in a different file format and converted using AI. — T.] This blog post expands on a theme mentioned at the end of my ...

[This is a guest post by Caroline Turnage-Butterbaugh. This blog post was initially written in a different file format and converted using AI. — T.] We now give a sketch of Montgomery’s argument for ...

For a given prime , the Legendre symbol is defined as follows: if is a quadratic residue modulo , then ; if is a quadratic non-residue modulo , then ; and if divides , then . Let be an integer that is ...

[This is a guest post by Francesco Maggi. This blog post was initially written in a different file format and converted using AI. — T.] Large language models (LLMs) and the research systems built ...

As readers of this blog have no doubt noticed, I have recently turned over the majority of content on this blog to guest posts from other authors, either within the mathematics community or adjacent ...

Several math colleagues and I are preparing to launch a new journal. As we considered which values we wanted the journal to uphold, we realized that there may be many other values worth exploring as a ...