I am currently studying for my PhD in the School of Mathematics at University of Leeds. I am researching Instantons on manifolds of exceptional holonomy, supervised by Dr Derek Harland and Dr Gerasim Kokarev.
I have completed MSc in Pure Mathematics at University of Calcutta, India. I have done my master's dissertation on the topic entitled "Introduction to Seiberg-Witten Gauge Theory on 4-Manifolds". Most of the work on the project was carried out at International Centre for Theoretical Sciences (ICTS-TIFR), Bengaluru, India, while I was visiting there.
My personal Homepage: https://sites.google.com/view/tat-ghosh-math
Broadly,myresearch area isGeometry andMathematical Physics. Iaminterested in Gauge Theory as well as various other geometric structures arising from Quantum Field Theory, Supergravity and String Theory. I am currently interested in the study of Instantons on manifolds of exceptional holonomy.
My recent focus includes Deformation Theory of Instantons on Asymptotically Conical G2 and Spin(7) manifolds, Instantons on asymptotically locally conical (ALC) manifolds, ’t Hooft-type Solutions in Higher dimensions, Heterotic strings and Strominger system, Deformations of Hermitian Yang-Mills Connections on Asymptotically Conical Calabi-Yau 4-folds, Deformed Donaldson-ThomasConnections on Asymptotically Conical G2 and Spin(7) manifolds.
I am also interested in Instantons and Monopoles in low dimensions, Topological Solitons (Skyrmions, Vortices, Kinks), Higgs bundles and Hitchin systems, Seiberg–Witten and Generalized Seiberg–Witten Gauge theories, Vafa–Witten and Kapustin–Witten theories, Mirror Symmetry; and want to explore these areas more in future.
- MSc Pure Mathematics, University of Calcutta, India
- BSc Mathematics, St. Paul’s Cathedral Mission College, India.
Research groups and institutes
- Algebra, geometry and integrable systems
- Pure Mathematics