Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...
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 ...
Algebraic geometry and differential geometry form two pillars of modern geometry, each providing its own language and techniques to study shapes and spaces. Algebraic geometry examines solution sets ...