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) and interactions with other geometric structures (e.g. contact structures). I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry and algebraic topology to these problems.
2) (joint with S. Akbulut) Complex $G_2$ manifolds and Seiberg-Witten Equations, Journal of Gökova Geometry Topology (2019) 15-40
1) On the Complex Cayley Grassmannian, Journal of Algebra 547 (2020) 519-537