Research

I am interested in algebraic geometry and commutative algebra. In my Ph.D thesis, I worked on a problem based on the toroidalization conjecture. More specifically, my research is focused on the following areas.

Publications

All my papers are also available on arXiv at this link.
  1. Seshadri constants on some Quot schemes, to appear in Forum Mathematicum (with Chandranandan Gangopadhyay and Ronnie Sebastian).
  2. Seshadri constants on Bott towers, preprint (with Indranil Biswas, Jyoti Dasgupta, and Bivas Khan).
  3. Positivity of vector bundles on homogeneous varieties, Internat. J. Math. 31 (2020), no. 12, 2050097 (with Indranil Biswas and D. S. Nagaraj).
  4. Weyl and Zariski chambers on projective surfaces, Forum Math. 32 (2020), no. 4, 1027-1037 (with Nabanita Ray).
  5. Negative curves on special rational surfaces, Analytic and Algebraic Geometry 3, 67-78, Łódź University Press, Łódź, 2019 (with Marcin Dumnicki, Łucja Farnik, Grzegorz Malara, Tomasz Szemberg, Justyna Szpond, and Halszka Tutaj-Gasińska).
  6. Real and complex supersolvable line arrangements in the projective plane, to appear in Journal of Algebraic Combinatorics (with Brian Harbourne). Full-text view via the Springer Nature SharedIt Initiative.
  7. Bounded negativity and Harbourne constants on ruled surfaces, Manuscripta Math. 164 (2021), no. 3-4, 431-454 (with Aditya Subramaniam). Full-text view via the Springer Nature SharedIt Initiative.
  8. Rationality of Seshadri constants on general blow ups of Ρ2, J. Pure Appl. Algebra 224 (2020), no. 8, 106345 (with Łucja Farnik, Jack Huizenga, David Schmitz, and Tomasz Szemberg).
  9. Seshadri constants and Grassmann bundles over curves, Annales de l'Institut Fourier, 70(4):1477-1496, 2020 (with Indranil Biswas, D. S. Nagaraj, and Peter E. Newstead). Journal version.
  10. Seshadri constants on hyperelliptic surfaces, Proc. Amer. Math. Soc. 146 (2018), no. 10, 4175-4187 (with Praveen Kumar Roy).
  11. Single point Seshadri constants on rational surfaces, J. Algebra 499 (2018), 37-42 (with Brian Harbourne).
  12. Multi-point Seshadri constants on ruled surfaces, Proc. Amer. Math. Soc. 145 (2017), no. 12, 5145-5155 (with Alapan Mukhopadhyay).
  13. Positivity of line bundles on special blow ups of Ρ2, J. Pure Appl. Algebra 221 (2017), no. 9, 2372-2382.
  14. Seshadri constants on surfaces with Picard number 1, Manuscripta Math. 153 (2017), no. 3-4, 535-543. Full-text view via the Springer Nature SharedIt Initiative.
  15. Positivity of line bundles on general blow ups of Ρ2, J. Algebra 461 (2016), 65-86.
  16. Syzygies of some GIT quotients, J. Ramanujan Math. Soc. 31 (2016), no. 4, 419-430 (with S. Senthamarai Kannan).
  17. Syzygies of surfaces of general type, Geom. Dedicata 167 (2013), 123-149 (with P. Bangere).
  18. Bounding the first Hilbert coefficient, Proc. Amer. Math. Soc. 140 (2012), no. 1, 109-117 (with Craig Huneke).
  19. Some Koszul rings from geometry, J. Algebra, 323 (2010), no. 2, 526-539.
  20. Toroidalization of locally toroidal morphisms from N-folds to surfaces, J. Pure Appl. Algebra, 213 (2009), no. 3, 349-359.

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Last modified: Oct 13, 2021