I am currently a Research Assistant Professor (Postdoc) at the Simons Center for Geometry and Physics at Stony Brook University under the supervision of Simon Donaldson. I received my PhD from the Institut für Mathematik at Humboldt-Universität zu Berlin under the supervision of Thomas Walpuski, where my work was supported by the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics.
Research interests: I am interested in differential geometry, with a focus on the following areas:
Riemannian manifolds with special holonomy: G2-manifolds and Calabi-Yau manifolds
Calibrated submanifolds: associative submanifolds, special Lagrangian submanifolds and holomorphic curves
Gauge theory: generalized Seiberg-Witten monopoles
My research involves combination of ideas and techniques from several major mathematical disciplines, including Riemannian geometry, geometric analysis, differential topology, complex/algebraic geometry, symplectic geometry and geometric measure theory.
Email: gbera@scgp.stonybrook.edu