My main area of study is algebraic number theory. I am interested in elliptic curves and complex multiplication. My thesis concerns the class numbers of ray class fields of imaginary quadratic fields. I am currently focused on arithmetically exceptional mappings and generalized Chebyshev polynomials associated with Lie algebras.

Curriculum Vitae (updated November 2023)

## Publications

Note that the actual published versions may be slightly different than the versions given below.

14 | On the Jacobian Matrices of Generalized Chebyshev Polynomials,
Arxiv, submitted. |

13 | Value sets of folding polynomials over finite fields,
Turk. J. Math., 43, (2019), 1407-1413. |

12 | A proof of the Lucas-Lehmer test and its variations by using a singular cubic curve,
Journal of Integer Sequences, 21, (2018), Article 18.6.2. |

11 | Value sets of bivariate folding polynomials over finite fields,
Finite Fields Appl., 54, (2018), 253-272. |

10 | On the Arithmetic Exceptionality of Polynomial Mappings,
Bull. London Math. Soc., 50, (2018), 143-147. |

9 | Arithmetic Exceptionality of Generalized Lattès Maps,
J. Math. Soc. Japan 70 No.2 (2018) 823-832.
Joint with H. Önsiper. |

8 | Bivariate polynomial mappings associated with simple complex Lie algebras,
J. Number Theory, 168, (2016), 433-451. |

7 | Value sets of bivariate Chebyshev maps over finite fields,
Finite Fields Appl., 36, (2015), 189-202. |

6 | On the computation of generalized division polynomials,
Turk. J. Math., 39, (2015), 547-555. |

5 | On the units generated by Weierstrass forms,
ANTS 2014 proceeding,
LMS J. Comput. Math., 17 (2014), suppl. A, 303-313. |

4 | Value sets of Lattès maps over finite fields,
J. Number Theory, 143, (2014), 262-278. |

3 | A recurrence relation for Bernoulli numbers,
Hacet. J. Math. Stat., 42, (2013), no 4, 319-329. |

2 | Class numbers of ring class fields of prime conductor,
Acta Arith., 153, (2012), no 3, 251-269. |

1 | Class numbers of ray class fields of imaginary quadratic fields,
Math. Comp., 80, (2011), no. 274, 1099-1122. |