? Research - Shanta Laishram

Research

My research interests are primarily in the areas of Number Theory and Cryptography. In particular in the areas of Irreducibility of Polynomials and Galois Group Problem, Diophantine Equations, Diophantine Approximation, Combinatorial Number Theory, Prime Numbers and Cryptography, particularly, the number theoretic aspects of Cryptography. Recently I got interested in Arithmetic Dynamics.


Here are my Ph. D. and M. Sc.(By Research) thesis:

Ph. D. Thesis: Refinements, Extensions and Generalisations of a Theorem of Sylvester on the prime factors of a product of consecutive integers

Thesis Advisor: Professor T. N. Shorey

M. Sc.(By Research) Thesis: Topics in Diophantine equations

Thesis Advisor: Professor T. N. Shorey


My papers and preprints are listed on my Publications page.