## Professional

Curriculum Vitae (updated February 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

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.