Research Interest

   Broad Area: Commutative Algebra, Algebraic Number Theory, Valuation Theory.

   Specific topics of my interest:

  • Discriminant, Integral basis and Monogenity of algebraic number fields
  • Factors of a polynomial (Polynomial factorization)
  • Integrally closed domains, Prolongations of a valuation

  Professional Experience

  • Assistant Professor: Indian Institute of Technology Bhilai, Raipur
    August 2020-Till date
  • Postdoc Fellow: The Institute of Mathematical Sciences, Chennai
    July 2018-August 2020

  Academic Background

  • Ph.D.: Indian Institute of Science Education and Research Mohali
    August 2014-May 2018
  • BS-MS dual degree: Indian Institute of Science Education and Research Mohali
    August 2009-May 2014

  Teaching

  Awards / Honours

  • NBHM Grant Rs. 3 Lakhs for attending ICM 2018 at Rio de Janeiro (2018).
  • Selected for NBHM postdoctoral fellowship, 2018 (Not availed).
  • Romberg grant for attending HLF, Germany (2018), Heidelberg University.
  • IISER Mohali Alumni Association Leadership and Outreach Award (2018).
  • SERB-DST international travel grant (2017).
  • Selected for NBHM Ph.D. fellowship, 2014 (Not availed).
  • International travel grant for attending HLF (2014 & 2018) by Heidelberg Laureate Forum Foundation.
  • Innovation in Science Pursuit for Inspired Research (INSPIRE) fellowship (2009-2014).

  Selected Publications

  1. On Integral basis of pure number fields, (with S. K. Khanduja, N. Sangwan),
    Mathematika, 67 (2021) 187–195.
  2. On the irreducible factors of a polynomial II (with K. Srinivas),
    Journal of Algebra, 556 (2020) 649-655.
  3. On the irreducible factors of a polynomial,
    Proceedings of American Mathematical Society, 148 (2020) 1429-1437.
  4. On the factors of a polynomial,
    Bulletin of London Mathematical Society, 52 (2020) 158-160.
  5. On the index of an algebraic integer and beyond (with S. K. Khanduja),
    Journal of Pure and Applied Algebra, 224 (2020) 106281.
  6. Some results for the irreducibility of truncated binomial expansions (with N. Sangwan),
    Journal of Number Theory, 192 (2018) 143–149.
  7. On compositum of integral closures of valuation rings (with S.K. Khanduja, N. Sangwan),
    Journal of Pure and Applied Algebra, 222(11) (2018) 3560-3565.
  8. On integrally closed simple extensions of valuation rings(with S.K. Khanduja, N. Sangwan),
    Journal of Pure and Applied Algebra, 222 (2018) 889-899.
  9. Discriminant of pure squarefree degree number fields(with S.K. Khanduja, N. Sangwan),
    Acta Arithmetica, 181 (2017) 287-296.
  10. On prime divisors of the index of an algebraic integer (with S. K. Khanduja, N. Sangwan),
    Journal of Number Theory, 166 (2016) 47–61.

  11. For complete list of publications, please click here.

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