Subject Area: Algebraic Geometry; Bundles on curves
My broad area of research is the subject of bundles on curves. During my doctorate, I calculated polarizations on Prym-Tyurin-Donagi varieties in view of the Abelianization programme initiated by Nigel Hitchin. Later I worked on the torsors under Bruhat-Tits group schemes and gave a criteria for the existence of stable torsors on the projective line. Recently, I have been working to compactify the moduli of quadratic bundles on curves fixing the loci of degeneracy and the orders. I have also computed the Brauer group of the moduli space and stack of torsors under Bruhat-Tits group schemes. In future, I wish to work in the emerging area of essential dimension in the context of moduli theory.