Construction of Polynomials with Prescribed Divisibility Conditions on the Critical Orbit (with Mohamed Wafik)
Eventual Stability of Pure Polynomials over the Rational Field (with Mohamed Osama Darwish)
Boundedness Results for Periodic Points of Rational Maps (with Murat Uyar)
Rational Torsion on Hyperelliptic Jacobian Varieties (with Hamide Suluyer)
Quadratic Torsion Orders on Jacobian Varieties (with Hamide Suluyer)
Families of Twists of Tuples of Hyperelliptic Curves (with Beyza Mevlüde Amir and Nermine El-Sissi)
The Greatest Common Divisor of Orders of Reductions of an Elliptic Curve over Q (with Antigona Pajaziti)
(The following papers can be found on arXiv. However, they may differ from final versions.)
Genus Two Curves with Everywhere Good Reduction Over Quadratic Fields (with Andrzej Dąbrowski), accepted for publication in Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Divisibility of Orders of Reductions of Elliptic Curves (with Antigona Pajaziti), Expositiones Mathematicae, Volume 43, Issue 4 (2025), Article 125679, 18 pp.
Explicit Construction of Decomposable Jacobians (with Mesut Buğday), Advances in Geometry, Volume 25, Issue 2 (2025), 175--182
On Torsion Subgroups of Elliptic Curves Over Quartic, Quintic and Sextic Number Fields (with Mustafa Umut Kazancıoğlu), Journal of Number theory, Volume 274 (2025), 37-55
Arithmetic Progressions in Polynomial Orbits (with Mohamed Wafik and Tuğba Yesin), International Journal of Number Theory, Volume 20, Number 8 (2024), 2009-2025
Genus 2 Curves with Bad Reduction at One Odd Prime (with Andrzej Dąbrowski), Nagoya Mathematical Journal, Volume 254 (2024), 498-512
A Dynamical Analogue of a Question of Fermat (with Tuğba Yesin), Mathematica Scandinavica, Volume 130 (2024), 5–20
Local and Global Densities for Weierstrass Models of Elliptic Curves (with John Cremona), Mathematical Research Letters, Volume 30, Number 2 (2023), 413-461
Moments of Gaussian Hypergeometric Functions over Finite Fields (with Ankan Pal and Bidisha Roy), Functiones et Approximatio Commentarii Mathematici, Volume 69, Number 1 (2023), 77–92
Simultaneous Rational Periodic Points of Degree-2 Rational Maps (with Burcu Barsakçı), Journal of Number Theory, Volume 243 (2023), 715-728
Rational Points on Quadratic Elliptic Surfaces, European Journal of Mathematics, Volume 8 (2022), 674-686
Divisibility by 2 on Quartic Models of Elliptic Curves and Rational Diophantine D(q)-Quintuples (with Tuğba Yesin), Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, RACSAM, volume 116 (2022), Article number: 139, (17 pp)
Families of Polynomials of Every Degree with No Rational Preperiodic Points, Comptes Rendus Mathématique. Académie des Sciences. Paris, Volume 359 (2021), Number 2, 195-197
Rational Points in Geometric Progression on The Unit Circle (with Gamze Çelik and Gökhan Soydan), Publicationes Mathematicae Debrecen, Volume 98/3-4 (2021), 513–520
Strong Rational Diophantine D(q)-Triples (with Andrej Dujella and Matteo Paganin), Indagationes Mathematicae, Volume 31 (2020), 505-511
On Quadratic Progression Sequences on Smooth Plane Curves (with Eslam Badr), Journal of Number Theory, Volume 213 (2020), 445-452
Evaluation of Gaussian Hypergeometric Series Using Huff's Models of Elliptic Curves (with Nermine El-Sissi, Arman Shamsi Zargar and Naser Zamani), The Ramanujan Journal, Volume 48, Number 2 (2019), 357-368
Rational Sequences on Different Models of Elliptic Curves (with Gamze Çelik and Gökhan Soydan), Glasnik Matematicki Series III, Volume 54, Number 1 (2019), 53-64
Families of Elliptic Curves of Rank ≥ 5 over Q(t) (with Dustin Moody and Arman Shamsi Zargar), Rocky Mountain Journal of Mathematics, Volume 49, Number 7 (2019), 2253-2266
Sequences of Consecutive Squares on Quartic Elliptic Curves (with Mohamed Kamel), Functiones et Approximatio Commentarii Mathematici, Volume 60, Number 2 (2019), 245-252
On Large F-Diophantine Sets (with Nermine El-Sissi), Monatshefte für Mathematik, Volume 186, Number 4 (2018), 703-710
Minimal Regular Models of Quadratic Twists of Genus Two Curves, Acta Arithmetica, Volume 183, Number 4 (2018), 317-337
On Rational Triangles via Algebraic Curves (with Farida Shahata), Rocky Mountain Journal of Mathematics, Volume 48, Number 1 (2018), 325-343
On Sequences of Consecutive Squares on Elliptic Curves (with Mohamed Kamel), Glasnik Matematicki Series III, Volume 52, Number 1 (2017), 45-52
New Hypergeometric Connection Formulae between Fibonacci and Chebyshev Polynomials (with Waleed M. Abd-Elhameed, Youssri H. Youssri and Nermine El-Sissi), The Ramanujan Journal, Volume 42, Number 2 (2017), 347-361
High Rank Quadratic Twists of Pairs of Elliptic Curves (with Mohamed Alaa), Journal of Number Theory, Volume 174 (2017), 436-444
Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves, International Journal of Number Theory, Volume 12, Number 8 (2016), 2173-2187
On Genus One Curves of Degree 5 with Square-Free Discriminant (with Tom Fisher), Journal of the Ramanujan Mathematical Society, Volume 31, Number 4 (2016), 359-383
Periodic Continued Fractions and Elliptic Curves over Quadratic Fields, Journal of Symbolic Computation, Volume 76 (2016), 200-218
On Geometric Progressions on Hyperelliptic Curves (with Mohamed Alaa), Journal of Integer Sequences, Volume 19 (2016), Article 16.6.3.
On Dependence of Rational Points on Elliptic Curves, C. R. Math. Rep. Acad. Sci. Canada, Volume 38, Number 2 (2016), 75-84
Edwards Curves and Gaussian Hypergeometric Series (with Nermine El-Sissi), Journal de Théorie des Nombres de Bordeaux, Volume 28, Number 1 (2016), 115-124
Formal Groups and Invariant Differentials of Elliptic Curves, Bulletin of the Australian Mathematical Society, Volume 92, Number 1 (2015), 44-51
Partitions with Equal Products and Elliptic Curves (with Nermine El-Sissi), Osaka Journal of Mathematics, Volume 52, Number 2 (2015), 515-525
On Quadratic Twists of Hyperelliptic Curves, Rocky Mountain Journal of Mathematics, Volume 44, Number 3 (2014), 1015-1026
On Elliptic Curves whose Conductor is a Product of Two Prime Powers, Mathematics of Computation, Volume 83, Number 285 (2014), 447-460
On the Diophantine Equation yl = c(xp -1)/(x - 1), Publ. Math. Debrecen, Volume 82, Number 2 (2013), 373-378
Minimal Genus One Curves, Funct. Approx. Comment. Math., Volume 46, Number 1 (2012), 117-131
Counting Models of Genus One Curves, Math. Proc. Camb. Phil. Soc., Volume 150, Number 3 (2011), 399-417