Research

Preprints

1. (w/ B.G. Catki, E. Ozman and Y. Kara) Solving equations of signature (p,p,2) with coefficients over number fields, (2026), arXiv

2. On modular approach to Diophantine equation x^4-y^4=nz^p over number fields, (2024) arXiv

3. On anticyclotomic Iwasawa theory of Hecke characters at ordinary primes, (2024) arXiv 

Publications

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, Journal of the Australian Mathematical Society (to appear), 2025, arXiv.

2.  (w/ Antonio Lei) The growth of Tate-Shafarevich groups of p-supersingular elliptic curves over anticyclotomic Zp-extensions at inert primes, Mathematika, 2025, 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