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INDIAN INSTITUTE OF TECHNOLOGY PALAKKAD
Kanjikode | Palakkad | Kerala - 678623
0491 209 2001 (Office) | info@iitpkd.ac.in

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Dr. Parangama Sarkar
Assistant Professor
Mathematics
Research Area: Commutative Algebra
View Website
  • Biosketch

    Education:

    Ph.D. in Mathematics (2011-2016)  : Indian Institute of Technology Bombay, Mumbai, India

    M.Sc. in Mathematics (2009-2011)  : Indian Institute of Technology Madras, Chennai, India

    B.Sc.  in Mathematics (2006-2009)  : Jadavpur University, Kolkata, India

     

    Experience:

    INSPIRE Faculty (September 2016 - March 2020) : Chennai Mathematical Institute (CMI), Chennai, India

    Indo-US SERB Postdoctoral fellow (December 2017 - December 2018) : University of Missouri, USA

  • Teaching

    IIT Palakkad

     MA5006 Fields and Modules, January -April 2022.

     MA1011 Linear Algebra and One- variable Calculus, November 2021-February 2022.

     MA5601 Introduction to Commutative Algebra, August-December 2021.

     MA2030 Algebra, August-December 2021.

     MA5006 Fields and Modules, February -May 2021.

     MA1011 Matrices and One-variable Calculus, November-February 2020.

     MA2030 Algebra, August-November 2020.

     

    Chennai Mathematical Institute

    Commutative Algebra, August-November 2019, CMI.

    Topics in Commutative Algebra, January-April 2017, CMI.

     

  • Publications
    On a generalized Auslander-Reiten conjecture
    Souvik Dey, Shinya Kumashiro and Parangama Sarkar
    Algebr. Represent. Theory, Volume 27 (2024), 1581-1602. 27 1581-1602 (2024)
    Epsilon multiplicity and analytic spread of filtrations
    Steven Dale Cutkosky and Parangama Sarkar
    Illinois J. Math. 68 (1) 189-210 (2024)
    Analytic spread of filtrations and symbolic algebras
    Steven Dale Cutkosky and Parangama Sarkar
    J. Lond. Math. Soc. (2) 106 (3) 2635-2662 (2022)
    Multiplicities and mixed multiplicities of arbitrary filtrations
    Steven Dale Cutkosky and Parangama Sarkar
    Res. Math. Sci. 9 (2022)
    Frobenius Betti numbers and syzygies of finite length modules
    Ian M. Aberbach and Parangama Sarkar
    Proc. Amer. Math. Soc. 148 (8) 3245–3262 (2020)
    Rees’ theorem for filtrations, multiplicity function and reduction criteria
    Parangama Sarkar
    J. Pure Appl. Algebra 224 (2) 789-805 (2020)
    Mixed multiplicities of filtrations
    Steven Dale Cutkosky, Parangama Sarkar and Hema Srinivasan
    Trans. Amer. Math. Soc. 372 (9) 6183-6211 (2019)
    Local cohomology of multi-Rees algebras, joint reduction numbers and product of complete ideals
    Parangama Sarkar and J. K. Verma
    Nagoya Math. J. 228 1-20 (2017)
    Multigraded regularity, reduction vectors and postulation vectors
    Parangama Sarkar
    J. Algebra 491 58-77 (2017)
    Postulation and reduction vectors of multigraded filtrations of ideals
    Parangama Sarkar and J. K. Verma
    J. Commut. Alg. 9 (4) 563-597 (2017)
    Variations on the Grothendieck-Serre formula for Hilbert functions and their applications
    Shreedevi K. Masuti, Parangama Sarkar and J. K. Verma
    Proceedings of the International Conference on Algebra and its Applications, Aligarh Muslim University 123-158 (2016)
    Hilbert polynomials of multigraded filtrations of ideals
    Shreedevi K. Masuti, Parangama Sarkar and J. K. Verma
    J. Algebra 444 527-566 (2015)

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