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/tathagatamath
Broadly, my research area is geometry and Mathematical Physics. I am interested in Gauge Theory as well as various other geometric structures arising from Quantum Field Theory and String Theory.
My current focus is on the theory of Instantons on manifolds of exceptional holonomy, i.e., instantons on seven-dimensional G2 and eight-dimensional Spin(7) manifolds, and their moduli spaces. My research includes the Deformation theory of asymptotically conical G2- and Spin(7)-instantons.
I am also interested in Topological Solitons, Seiberg-Witten and Generalized Seiberg-Witten Gauge theories.
- 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