Research

Gorapada Bera

I am a Research Assistant Professor (postdoc) at the Simons Center for Geometry and Physics (2023–2026), mentored by Simon Donaldson. I received my Ph.D. in 2023 from Humboldt-Universität zu Berlin under the supervision of Thomas Walpuski, supported by the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics, after beginning my doctoral studies with him at Michigan State University.

Email: gbera@scgp.stonybrook.edu

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

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

Preprints:

2. Dirac operators twisted by ramified Euclidean line bundles (joint with Thomas Walpuski)

1. Deformations of asymptotically cylindrical associative submanifolds

Publications:

5. Remarks on Sp(1)-Seiberg-Witten equations over 3-manifolds to appear in Mathematical Research Letters

4. Deformations and desingularizations of conically singular associative submanifolds in Geometry and Topology 30.4 (2026)

3. Associative submanifolds in twisted connected sum G2-manifolds in Int. Math. Res. Not. IMRN 8 (2026)

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

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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