Vandita Patel

Vandita Patel is a Lecturer in Pure Mathematics at The University of Manchester. Her research focuses on number theory, with particular emphasis on Diophantine equations, arithmetic progressions, and perfect powers. She has contributed to the study of sums of consecutive like powers, factorization, and integer solutions to polynomial equations. Patel has authored several research articles and has presented her work at academic conferences. Her research has been published in journals such as The Ramanujan Journal and Mathematische Annalen. She is also involved in academic activities, including invited talks and collaborations.

Vandita Patel is a researcher at the University of Manchester with a focus on Number Theory. Her work explores deep connections between perfect powers, Fibonacci numbers, and arithmetic progressions. She investigates properties of sums of consecutive powers, including cubes and squares, and their relationships to special sequences such as Lucas–Lehmer sequences. Her research also addresses power values of power sums and the behavior of permutation polynomials over finite fields. Patel's contributions span both theoretical and applied aspects of number theory, with an emphasis on Diophantine equations and their solutions.