My research interest is in algebraic geometry. More specifically, I am interested in the following topics.

• Positivity of linear series and syzygies of projective varieties.
• Deformation theory of finite morphisms and smoothing of multiple structures.
• Moduli of curves and surfaces of general type.
• Rationality of stacks.

Publications and preprints

1. Tautological families of cyclic covers of projective spaces (with P. Kundu, and J. Mukherjee), submitted.
2. A note on stability of syzygy bundles on Enriques and bielliptic surfaces (with J. Mukherjee), submitted.
3. Deformations and moduli of irregular canonical covers with K²=4p_g−8 (with P. Bangere, F. J. Gallego, and J. Mukherjee), submitted.
4. Deformation of morphisms, varieties of low codimension and asymptotic limits (with P. Bangere, F. J. Gallego, and J. Mukherjee), submitted.
5. Smoothing of multiple structures on embedded Enriques manifolds (with J. Mukherjee).
   To appear in Mathematische Zeitschrift.
6. K3 carpets on minimal rational surfaces and their smoothings (with P. Bangere, and J. Mukherjee).
   International Journal of Mathematics 32 (2021), no. 6, 2150032, 20 pp.
7. Remarks on projective normality for certain Calabi-Yau and hyperkähler varieties (with J. Mukherjee).
   Journal of Pure and Applied Algebra 224 (2020), no. 10, 106383, 19 pp.
8. On the projective normality and normal presentation on higher dimensional varieties with nef canonical bundle (with J. Mukherjee).
   Journal of Algebra 540 (2019), 121–155.