## Professional

Curriculum Vitae (updated July 2017)## 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 multivariate exceptional mappings.## Publications

- 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. - Value sets of bivariate folding polynomials over finite fields,

To appear in*Finite Fields Appl*. - On the Arithmetic Exceptionality of Polynomial Mappings,

*Bull. London Math. Soc.*,**50**, (2018), 143-147. - Arithmetic Exceptionality of Generalized Lattès Maps,

*J. Math. Soc. Japan***70**No.2 (2018) 823-832.

Joint with H. Önsiper. - Bivariate polynomial mappings associated with simple complex Lie algebras,

*J. Number Theory*,**168**, (2016), 433-451. - Value sets of bivariate Chebyshev maps over finite fields,

*Finite Fields Appl.*,**36**, (2015), 189-202. - On the computation of generalized division polynomials,

*Turk. J. Math.*,**39**, (2015), 547-555. - On the units generated by Weierstrass forms,

ANTS 2014 proceeding,

*LMS J. Comput. Math.*,**17**(2014), suppl. A, 303-313. - Value sets of Lattès maps over finite fields,

*J. Number Theory*,**143**, (2014), 262-278. - A recurrence relation for Bernoulli numbers,

*Hacet. J. Math. Stat.*,**42**, (2013), no 4, 319-329. - Class numbers of ring class fields of prime conductor,

*Acta Arith.*,**153**, (2012), no 3, 251-269. - Class numbers of ray class fields of imaginary quadratic fields,

*Math. Comp.*,**80**, (2011), no. 274, 1099-1122.

## Lecture Notes

Zeta Functions and L-Series,Algebraic Numbers and L-functions Workshop at Adrasan, September 2010.