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Dr. Raj Kumar Mistri
Ph.D. IIT Patna
Assistant Professor, IIT Bhilai
Department of Mathematics
rkmistri@iitbhilai.ac.in

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Areas of Interest

  • Additive Number Theory (Additive Combinatorics)

  • Additive Number Theory, also known as Additive Combinatorics is an active and rapidly developing field of research which is a branch of Number Theory concerning the study of theory of set addition in which the subsets of integers and their behavior under the algebraic operations such as addition and multiplication are studied. More generally, additive number theory includes the study of additive structures of  subsets of (abelian) groups. It has strong interaction with other branches of number theory, combinatorics, group theory, linear algebra, analysis, and many more. To know more about this area, visit the following links: Additive number Theory, Additive Combinatorics, Arithmetic Combinatorics.

Education

  • Ph.D., Indian Institute of Technology Patna, 2016.
  • M.Sc., TIFR Centre For Applicable Mathematics, Bangalore.

Professional Experiences

  • 31st December 2018--Till date: Assistant Professor, Department of Mathematics, Indian Institute of Technology Bhilai, Raipur.
  • 5th July 2018--20th December 2018: Assistant Professor, Department of Mathematics, LNMIIT, Jaipur, Rajasthan.
  • 1st March 2016--2nd July 2018: Post-Doctoral Fellow, Department of Mathematics, Harish-Chandra Research Institute, Allahabad

Published/Accepted Research Articles

  • Papers in refereed journals

    • Mistri, R. K. Polynomial method for estimating the lower bound for the cardinality of mixed sumsets. Acta Math. Hungar. 2021, 164 (2), 331-340. https://doi.org/10.1007/s10474-021-01159-1
    • Kataria, K. K.; Mistri, R. K. Generalized binomial theorem via Laplace transform technique, Math. Gaz. 2021, 105 (564), 516-520. http://dx.doi.org/10.1017/mag.2021.124
    • Mistri, R. K.; Pandey, R. K.; Prakash, O. A generalization of sumset and its applications, Proc. Indian Acad. Sci. Math. Sci. 2018, 128 (5), Article: 55, 8 pp.
    • Mistri, R. K. Sum of dilates of two sets. Notes Number Theory Discrete Math. 2017, 23 (4), 34-41.
    • Mistri, R. K.; Pandey, R. K.; Prakash, O. Subset and subsequence sums in integers.  J. Comb. Number Theory  2016, 8 (3), 207-223.
    • Mistri, R. K.; Pandey, R. K. The direct and inverse theorems on integer subsequence sums revisited. Integers 2016, 16, Paper No. A32, 8 pp.
    • Mistri, R. K.; Pandey, R. K.; Prakash, O. Subsequence Sums: Direct and inverse problems. J. Number Theory 2015, 148, 235-256.
    • Mistri, R. K.; Pandey, R. K. A generalization of sumsets of set of integers. J. Number Theory 2014, 143, 334-356.
    • Mistri, R. K.; Pandey, R. K. Derivative of an ideal in a number ring. Integers 2014, 14, Paper No. A24, 12 pp.

  • arXiv Preprint

    • Mistri, R. K., Thangadurai, R. Restricted-sum-dominant sets, arXiv, arXiv:1712.09226v1, 2017, 7 pp.

Teaching

  • 2018-19-W
  • IC152: Linear Algebra II
    IC153: Calculus I (Tutorial).
  • 2019-20-M
  • IC202: Calculus II
    MA502: Modern Algebra
  • 2019-20-W
  • MA505: Complex Analysis
    MA614: Introductory Additive Number Theory
  • 2020-21-M
  • MA502: Modern Algebra
    MA510: Elementary Number Theory
    IC202: Calculus II (Tutorial)
  • 2020-21-W
  • MA506: Multi-Variable Calculus
    MA614: Introductory Additive Number Theory
  • 2021-22-M
  • MA510: Elementary Number Theory
    IC104: Linear Algebra I

Review

  • Reviewer: Mathematica Slovaca, Mathematical Reviews and zbMATH Open.


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