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 and was supported by the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics. Additionally, I spent one semester as a program associate at the SLMath/MSRI, Berkeley for the Analytic and Geometric Aspects of Gauge Theory program. Before moving to HU Berlin with my supervisor, I was a graduate student at the Department of Mathematics at Michigan State University. Previously, I spent a year as a Junior Research Fellow in mathematics at the Institute of Mathematical Sciences, Chennai. I completed my Master's and Bachelor's degrees in mathematics at Ramakrishna Mission Vivekananda University and Ramakrishna Mission Vidyamandira, respectively.

Email: gbera@scgp.stonybrook.edu

My research interests are in differential geometry, with a specific focus on gauge theory and calibrated geometry in Riemannian manifolds with special holonomy. These areas involve combination of ideas and techniques from several major mathematical disciplines: differential topology, geometric analysis, complex/algebraic geometry, symplectic geometry and geometric measure theory.

Preprints:

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