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 ...

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 ...

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 ...

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 ...

This is a guest post by Francesco Maggi. This blog post was initially written in a different file format and converted using ...

We are launching the Bourgain Project, a community-driven initiative to revisit, expand upon, and explore the body of work of Jean Bourgain, one of the most prolific mathematicians of his time. The ...