research:main

# Interests

I am interested in $G_2$ and Spin(7) manifolds. More specifically, I am working on problems related to their calibrated submanifolds (which are volume minimizing submanifolds of dimension 3 in $G_2$ case or 4 in Spin(7) case). I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry to these topics.