Gorapada Bera
I am a Research Assistant Professor (postdoc) at the Simons Center for Geometry and Physics at Stony Brook University from 2023-2026, mentored by Simon Donaldson. Previously, I received my Ph.D. at the Institut für Mathematik at Humboldt-Universität zu Berlin under the supervision of Thomas Walpuski, where my research was supported by the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics.
Research area: My research area lies in differential geometry, mainly in the following topics:
Special holonomy manifolds: Calabi-Yau manifolds and G2-manifolds
Calibrated submanifolds: holomorphic curves, special Lagrangian submanifolds, associative and coassociative submanifolds
Gauge theory: generalized Seiberg-Witten monopoles and gauge theory on Calabi-Yau and G2-manifolds
Email: gbera@scgp.stonybrook.edu
Preprints:
6. Dirac operators twisted by ramified Euclidean line bundles joint with Thomas Walpuski
5. Uniqueness in the local Donaldson-Scaduto conjecture joint with Saman Esfahani and Yang Li
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