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.
Certain CM class fields with smaller generators (joint with Uzunkol),
On the computation of generalized division polynomials,
To appear in Turkish J. Math.
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.
Zeta Functions and L-Series,
Algebraic Numbers and L-functions Workshop at Adrasan, September 2010.