I am currently a PhD student and research assistant at the Institut für Mathematik at Humboldt-Universität zu Berlin under supervision of Prof. Thomas Walpuski, where my research is supported by the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics. My research lies in the area of differential geometry, mainly on gauge theory and calibrated geometry in Riemannian manifolds with special holonomy which are parts of two broad mathematical disciplines geometric analysis and complex (or algebraic) geometry.
Deformations and desingularizations of conically singular associatives.
Remarks on Sp(1)-Seiberg-Witten equations.
Growth of the spinor of generalized Seiberg-Witten equations on R^4 and R^3.