Curriculum Vitae (updated November 2023)

Research Overview

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.


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

14On the Jacobian Matrices of Generalized Chebyshev Polynomials,
Arxiv, submitted.
13Value sets of folding polynomials over finite fields,
Turk. J. Math., 43, (2019), 1407-1413.
12A 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.
11Value sets of bivariate folding polynomials over finite fields,
Finite Fields Appl., 54, (2018), 253-272.
10On the Arithmetic Exceptionality of Polynomial Mappings,
Bull. London Math. Soc., 50, (2018), 143-147.
9Arithmetic Exceptionality of Generalized Lattès Maps,
J. Math. Soc. Japan 70 No.2 (2018) 823-832.
Joint with H. Önsiper.
8Bivariate polynomial mappings associated with simple complex Lie algebras,
J. Number Theory, 168, (2016), 433-451.
7Value sets of bivariate Chebyshev maps over finite fields,
Finite Fields Appl., 36, (2015), 189-202.
6On the computation of generalized division polynomials,
Turk. J. Math., 39, (2015), 547-555.
5On the units generated by Weierstrass forms,
ANTS 2014 proceeding,
LMS J. Comput. Math., 17 (2014), suppl. A, 303-313.
4Value sets of Lattès maps over finite fields,
J. Number Theory, 143, (2014), 262-278.
3A recurrence relation for Bernoulli numbers,
Hacet. J. Math. Stat., 42, (2013), no 4, 319-329.
2Class numbers of ring class fields of prime conductor,
Acta Arith., 153, (2012), no 3, 251-269.
1Class numbers of ray class fields of imaginary quadratic fields,
Math. Comp., 80, (2011), no. 274, 1099-1122.