Research

Gorapada Bera

I am a Research Assistant Professor (postdoc) at the Simons Center for Geometry and Physics at Stony Brook University (2023-2026), mentored by Simon Donaldson. Previously, I received my Ph.D. in 2023 from the Institut für Mathematik at Humboldt-Universität zu Berlin under the supervision of Thomas Walpuski, supported by the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics.

Email: gbera@scgp.stonybrook.edu

My research lies in differential geometry and geometric analysis, with a focus on the following areas:

Special holonomy manifolds: G2-manifolds, Calabi-Yau 3-folds
Calibrated geometry: associative 3-folds, coassociative 4-folds, holomorphic curves, special Lagrangian 3-folds
Gauge theory: generalized Seiberg-Witten monopoles, instantons on special holonomy manifolds

Preprints:

4. Dirac operators twisted by ramified Euclidean line bundles joint with Thomas Walpuski

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

2. Associative submanifolds in twisted connected sum G2-manifolds

1. Deformations of asymptotically cylindrical associative submanifolds

Publications:

3. Deformations and desingularizations of conically singular associative submanifolds to appear in Geometry and Topology

2. Uniqueness in the local Donaldson-Scaduto conjecture joint with Saman H. Esfahani and Yang Li in Int. Math. Res. Not. IMRN 16 (2025) pp. 1-14

1. Growth of spinors in the generalized Seiberg-Witten equations on R4 and R3 in Journal of Geometry and Physics 217 (2025)

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