Geometric group theory is an interdisciplinary field that studies groups by exploring their actions on geometric spaces. By interpreting abstract algebraic properties through the lens of geometry and ...

Geometric Function Theory focuses on the study of analytic functions through the lens of geometry, with particular emphasis on conformal mappings. These mappings, which preserve local angles and the ...

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. Arnold’s work was in an area of mathematics that ...

The author received funding from the ODYCCEUS Horizon 2020 project, grant agreement number 732942. Debate has grown in recent years over the role that social media algorithms play in spreading ...

Within mathematics, there is a vast and ever expanding web of conjectures, theorems and ideas called the Langlands program. That program links seemingly disconnected subfields. It is such a force that ...

The grandest project in mathematics has received a rare gift, in the form of a mammoth 350-page paper posted in February that will change the way researchers around the world investigate some of the ...