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  • 2:40 AM, Wednesday, 17 Apr 2024

Department of Mathematics
     
Prosenjit Das, Ph.D.
Associate Professor
 
Office
Tel:+91-471-2568468
Fax:
Email:prosenjit.das@iist.ac.in / prosenjit.das@gmail.com













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

Course Offered
  • Undergraduate: Vector Calculus, Probability and Statistics
  • Postgraduate: Probability and Statistics, Advanced Engineering Mathematics, Mathematics for Electrical Engineering
  • Ph.D. coursework: Mathematical Methods, Advanced Analysis, Advanced Functional Analysis

Experience
  • Associate Professor at Dept. of Mathematics, Indian Institute of Space Science and Technology, Thiruvananthapuram (current).
  • Assistant Professor at Dept. of Mathematics, Indian Institute of Space Science and Technology, Thiruvananthapuram.
  • Visiting Faculty at Indian Institute of Space Science and Technology, Thiruvananthapuram.
  • Assistant Professor at Dept. Mathematics, The University of Burdwan, Burdwan.
  • Assistant Professor at Dept. of Mathematics, Haldia Govt College, Haldia.

Research Work / Area

Affine forms, Affine fibrations, Epimorphism problems, Cancellation problems, Derivations, Locally Nilpotent Derivations and allied areas.


Funded Project

SERB 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 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.

Communicated:

  • Janaki Raman Babu and Prosenjit Das, A criterion to determine residual coordinates of A2-fibrations, Proceedings - Mathematical Sciences (accepted)
  • Janaki Raman Babu, Prosenjit Das and Animesh Lahiri, Locally nilpotent derivations on A2-fibrations with A1-fibration kernels (communicated)
     
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.

 


Awards
  • SERB MATRICS research grant 2022
  • A. K. Agrawal  Award for 2022 (jointly with Dr. Janaki Raman Babu) by the Indian Mathematical Society for the paper "Structure of A2-fibrations having fixed point free locally nilpotent derivations, J. Pure Appl. Algebra 225 (2021) no. 12, Paper No. 106763".