I am a Research Assistant Professor (Postdoc) at the Simons Center for Geometry and Physics at Stony Brook University under the supervision of Simon Donaldson. Before that, I received my PhD degree from the Institut für Mathematik at Humboldt-Universität zu Berlin under the supervision of Thomas Walpuski.
My research interest is in differential geometry, with a specific focus on gauge theory and calibrated geometry in Riemannian manifolds with special holonomy. This area involves combination of ideas and techniques from several major mathematical disciplines: differential topology, geometric analysis, complex/algebraic geometry, symplectic geometry and geometric measure theory.
3. On finite energy generalized Seiberg-Witten monopoles over R4 and R3
2. Deformations and desingularizations of conically singular associative submanifolds
1. Associative submanifolds in twisted connected sum G2-manifolds