Background

I am a mathematician whose research interests lie at the interface between pure and applied mathematics. I am currently interested in number theory, more specifically working on topics from Diophantine equations which involve linearly recurrent sequences such as the Fibonacci numbers, Pell numbers, Lucas numbers, Tribonacci numbers, Padovan numbers, and the k-generalized Fibonacci numbers. The methods of approach to such equations heavily rely on the Baker’s theory for linear forms in logarithms of algebraic numbers as well as the Baker-Davenport reduction procedure. Computations are done with the help of computer programs in Sage, Python, Matlab, Maple, and Mathematica.