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Dr. Prosenjit Das

Area of Research

Area of Research
Affine forms, Affine fibrations, Epimorphism problems, Cancellation problems, Derivations, Locally Nilpotent Derivations, Projective Algebras and allied areas.

Department

Education

  • Ph.D from Indian Statistical Institute, Kolkata
  • M.Sc in Mathematics from The University of Burdwan, Burdwan
  • B.Sc in Mathematics (Hons.) from Burdwan Raj College, The University of Burdwan, Burdwan

Funded Project

SERB MATRICS project ongoing

Teaching Interest

Subjects related to Algebra, Geometry and Topology

Area of Interest

Commutative Algebra and Affine Algebraic Geometry

Publications
Published:
  • Janaki Raman Babu, Prosenjit Das and Animesh Lahiri, Locally nilpotent derivations on  A2 -fibrations with  A1 -fibration kernels, J. Pure Appl. Algebra 229 (2025), no. 1, Paper No. 107772, 13 pp.
  • Janaki Raman Babu and Prosenjit Das, A criterion to determine residual coordinates of  A2 -fibrations, Proc. Indian Acad. Sci. Math. Sci. 133 (2023), no. 2, Paper No. 46, 12 pp.
  • Janaki Raman Babu, Prosenjit Das, and Swapnil A. Lokhande, Rank and rigidity of locally nilpotent derivations of affine fibrations, Comm. Algebra 49 (2021) no. 12, 5214– 5228.
  • Janaki Raman Babu and Prosenjit Das, Structure of A2-fibrations having fixed point free locally nilpotent derivations, J. Pure Appl. Algebra 225 (2021) no. 12, Paper No. 106763.
  • Prosenjit Das, On cancellation of variables of the form bTn-a over affine normal domains, J. Pure Appl. Algebra 219 (2015), no. 12, 5280 - 5288.
  • Prosenjit Das and Amartya K. Dutta, A note on residual variables of an affine fibration. J. Pure Appl. Algebra 218 (2014), no. 10, 1792 - 1799.
  • Prosenjit Das,  A Note on Factorial A1-forms with Retractions, Communications in Algebra, (2012), no. 9, 3221 - 3223.
  • Prosenjit Das and Amartya K. Dutta, Planes of the form b(X,Y)Zn-a(X,Y) over a DVR, Journal of Commutative Algebra 3 (2011), no. 4, 491 - 509.
  • Prosenjit Das and Amartya K. Dutta, On Codimension-one A1-fibration with Retraction, Journal of Commutative Algebra 3 (2011), no. 2, 207 - 224.

Work in Progress:

  • Janaki R. Babu, Prosenjit Das and Neena Gupta, Locally nilpotent derivations with polynomial kernels of stably polynomial A2-fibrations.
  • A necessary condition for an A2-fibration having locally nilpotent derivation to be trivial
  • Locally nilpotent derivations of A2 -fibrations.
  • Locally nilpotent derivations of R[3].
  • An Epimorphism problem in polynomial ring in three variables over fields of positive characteristics.
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