Publications
Published and accepted
One-dimensional algebraic cycles on non-singular cubic fourfolds in P^5 (PhD Thesis)
Etale monodromy and rational equivalence for one cycles on cubic hypersurfaces in P5 (joint with Vladimir Guletskii) Published in Sbornik Math. Volume 211, no. 2, 2020, 161-200, https://iopscience.iop.org/article/10.1070/SM9240/pdf
On the closed embedding of product of theta divisors into product of Jacobians and Chow groups, Published in International Journal of Mathematics, Volume 29, issue 3, March 2018, https://www.worldscientific.com/doi/abs/10.1142/S0129167X18500210
Chow groups of conic bundles in P5 and the generalised Bloch conjecture. Accepted for publication in the Journal of Ramanujan Math. Society, Link to article .
Divisibility of Selmer groups and class groups, (joint with Kalyan Chakraborty and Azizul Hoque), Published in Hardy-Ramanujan Journal (Special issue in honour of Alan Baker), Volume 42, May 2020, 85-99, https://hrj.episciences.org/6460/pdf
Representability of Chow groups of codimension three cycles, accepted for publication in Advances in Geometry, Link to article .
On finite dimensionality of Chow groups, accepted for publication in Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry, Link to article .
Push-forwards of Chow groups of smooth ample divisors (joint with Jaya Iyer and James Lewis), accepted for publication in Mathematische Nachrichten, Link to article .
Torsion point Cryptography : Enhancing data security with elliptic curves (joint with Jasleen Kaur and Nilesh Tiwari), accepted for publication in the proceeding of the IEEE Carnahan International Conference for Security Technology, link.
Algebraic cycles supported on hyperplane sections (joint with Sanjit Das and Shivam Kumar Jha), published in the conference proceeding of ICRTM (conference on the occasion of birthday of S. Ramanujan held at VIT Chennai, December 2022).
Hybrid cryptography for securing IOT: Elliptic curves and Isogeny based (Joint with Jasleen Kaur, Nikhil Nair and NIlesh Tiwari), accepted in the conference proceedings of ICISPD2023.
SNR estimations for Hypercubic signals in Rayleigh channels (Joint with Jasleen Kaur, Nikhil Nair, Nilesh Tiwari), accepted in the conference proceedings of ICNDA 2024 (to be published in Springer Proceedings of Physics).
Preprints
On the kernel of the push-forward homomorphism between Chow groups. (joint with Jaya NN Iyer) http://arxiv.org/abs/1504.07887
Theta divisors of abelian varieties and push-forward homomorphism at the level of Chow groups. https://arxiv.org/abs/1609.03636
Blow ups and base changes of symmetric powers and Chow groups. https://arxiv.org/abs/1609.03844
Algebraic cycles on the Fano variety of lines of a cubic fourfold. arxiv.org/abs/1609.05627
A note on Mumford-Roitman argument on Chow schemes. arxiv.org/abs/1701.03431
Mumford-Roitman argument on families. arxiv.org/abs/1705.02791
Bloch's conjecture on surfaces of general type with an involution. arxiv.org/abs/1705.10713
A note Lefschetz fibrations on algebraic surfaces. arxiv.org/abs/1806.02074
Variation of Gysin kernel in family. arxiv.org/abs/1806.02116
Picard groups, pull back and class groups. (Joint with Azizul Hoque) arxiv.org/abs/1903.04210
Tate-Shafarevich group and Selmer group constructions for the Chow group of an abelian variety. (Joint with Kalyan Chakraborty) arxiv.org/abs/1906.08233
Involutions on algebraic surfaces and the generalised Bloch conjecture. arxiv.org/abs/1906.09616
Geometry of quintics and the Craighero-Gattazzo surface of general type. arxiv.org/abs/1906.09617
Algebraic cycles on hyperplane sections of hypersurfaces in Pn for n=5,6. arxiv.org/abs/1906.10723
A remark on algebraic cycles on cubic fourfolds. arxiv.org/abs/1908.04576
On the Chow group of the self product of a CM elliptic curve defined over a number field. (joint with Kalyan Chakraborty) arxiv.org/abs/1908.06424
Notes
Hodge theory on complex manifolds