The linear recurrences have an ancient tradition in Number Theory and Diophantine questions about them go back to long ago. I am interested in Diophantine equations arising from the problem of recurrent sequences and the arithmetic of linear recurrent sequences.
Ph.D. Thesis: Some Generalizations and Properties of Balancing Numbers.
Thesis Advisor: Professor G. K. Panda
My papers are available in Publications page and in MathsSciNet.