I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those ...

Changing light's polarization can reverse the structure of a patterned light field, opening a new way to control geometry and information in optics. (Nanowerk Spotlight) Light can be bent, focused, or ...

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 ...

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.