Research

In Preparation 

1. (w/ Antonio Lei) On the growth of Tate-Shafarevich groups of p-supersingular abelian varieties of GL2-type over Zp-extensions of number fields, (2025), in preparation

2. (w/ E. Özman and Y. Kara) Modular Approach to the Diophantine Equation Ax^p + By^p = Cz^2 over Number Fields, (2025), in preparation.

Preprints

1. On Modular Approach to Diophantine Equation x^4-y^4=nz^p over Number Fields, (2023) arXiv

Publications

1. (w/ Antonio Lei) The growth of Tate-Shafarevich groups of p-supersingular elliptic curves over anticyclotomic Zp-extensions at inert primes, (2024), Mathematika (to appear), arXiv

2. On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes, (2023),  arXiv 

3. (w/ Ekin Ozman, Yasemin Kara) On Ternary Diophantine Equations of Signature (p, p, 3) over Number Fields, Canadian Journal of Mathematics, 2022.            Algorithms and results, arXiv

4. (w/ Ekin Ozman, Yasemin Kara) On Ternary Diophantine Equations of Signature (p, p, 2) Over Some Totally Real Number Fields, Turkish Journal of Mathematics, 2020.                      S-unit solution list, Number Fields list