Gorapada Bera

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

These areas involve 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  

Preprints:

4. Remarks on Sp(1)-Seiberg-Witten equation over 3-manifolds 

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