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B

B R Shankar

Professor

Email:

shankarbr@nitk.edu.in

Phone NO:

0824-2473355

Date Of Joining:

2000-10-23

Research Interests

Cryptography, Finite Fields, Functional Analysis, Number Theory, Operator, Algebras

Academic Details

  • Ph.D, Indian Institute of Science, Bangalore ( June, 1992)
  • M.Sc(Mathematics), University of Mysore( 1986)
  • B.Sc, University of Mysore (1984)

Research Supervision

Completed -11 Ongoing-03


Sl.No. Name Date of Completion

1 Vadiraja Bhatta G. R. 21/07/2011

2 Sushma Palimar 02/01/2013

3 Karuna Kamath K 14/04/2014

4 Chetana U V 30/05/2016

5 Manasa K J 27/07/2016

6 Savitha G 18/03/2020

7 Sumukha S 17/01/2023

8 Venkataramana P B 15/02/2023

9 Sehra Sahu 15/02/2023

10 Sushil Bishoi 05/12/2023

11 Anupriya Shetty 20/06/2025

Projects

Funded Projects (Completed): 

2

Publications

 LIST OF PUBLICATIONS
 

  1. Vadiraja Bhatta G R and Shankar B R : Permutation Polynomials Modulo n, n ≠ 2^wand Latin Squares, International Journal of Mathematical Combinatorics, vol 2, 2009, pp 58-65.

  2. Vadiraja Bhatta G R and Shankar B R : Combinatorial Properties of Permutation Polynomials over some Finite Rings Z_n, International Journal of Secure Digital Information Age, vol 1, no. 1, June 2009, pp 1-6.

  3. Karuna Kamath K and Shankar B R: Elliptic Curves and Fibonacci  Sequences, International Journal of Mathematics and Computation, vol 4, S09, 2009, pp 20-25.

  4. Karuna Kamath K and Shankar B R: One Time Pad via Lychrel number and Elliptic Curve, International Journal of Computational and Applied Mathematics, vol 5, no. 2, 2010, pp 157-161.

  5. Karuna Kamath K and Shankar B R: Elliptic Curves and Multiplicative Congruential Generators, International Journal of Computer Technology and Electronics Engineering, vol 2, no. 4, 2012, pp 84-89.

  6. Sushma Palimar and B R Shankar: Dynamical Systems, Inverse Limit Theory and p-adic Integers, Adv. Stud. Contemp. Math.(Kyungshang), vol 20, 2010, pp 433-436.

  7. Sushma Palimar and B R Shankar: Mersenne Primes in Real Quadratic Fields, J. Integer Seq., vol 15, Article 12.5.6.

  8. Chetana U V and B R Shankar: A note on positively expansive maps on noncompact spaces, Asian Journal of Mathematics and Computer Research, vol 11, no. 1, 2016, pp 57-60.

  9. K J Manasa and B R Shankar: Pell Surfaces and Elliptic Curves, J. Ramanujan Math. Soc. Vol 31, no. 1, 2016, pp63-77.

  10. Vadiraja Bhatta G R and Shankar B R: Variations of Orthogonality of Latin Squares, International Journal of Mathematical Combinatorics, vol 3, 2015, pp 55-61.

  11.   U V Chetana and B R Shankar: Chaotic Dynamical Systems on Symbolic Spaces, Journal of Dynamical Systems and Geometric Theories, vol 15, No. 2, 2017, pp 131-146. (Taylor and Francis)