I am interested in $G_2$ and Spin(7) manifolds. More specifically, I am working on problems related to complexification of $G_2$ and Spin(7) manifolds and interactions of these geometries with other geometric structures (e.g. contact and symplectic structures). I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry and algebraic topology to problems in differential geometry.
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
3) (joint with E. Windes) Two-Frame Fields on Simply Connected Spin 7-Manifolds - Proceedings of the 12th ISAAC Congress, March 2020