Research 

Publications:

1. On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient, (joint work with Dr. Narasimha Kumar), Canad. Math. Bull. 66 (2023), no. 2, 587–598 [Journal link].

2.  On the solutions of x^p+y^p=2^rz^p, x^p+y^p =z^2 over totally real fields (joint work with Dr. Narasimha Kumar), Acta Arithmetica 212 (2024), no. 1, 31–47 [Journal link].

3. Lehmer-type bounds and counting rational points of bounded heights on Abelian varieties (joint work with Dr. Narasimha Kumar)  [Journal link]. To appear in International Journal of Number Theory (IJNT).

4. On the solutions of x^2=By^p+Cz^p, 2x^2=By^p+Cz^p  over totally real fields (joint work with Dr. Narasimha Kumar) (arXiv). To appear in The Ramanujan Journal. 

Preprints:

1.  Asymptotic solutions of generalized Fermat-type equation of signature (p,p,3) over totally real number fields (joint work with Dr. Narasimha Kumar) (arXiv).

2.  On the solutions of the generalized Fermat equation over totally real number fields (arXiv).