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 units generated by Weierstrass forms,
To appear in LMS J. Comput. Math (ANTS 2014 proceeding).
Value sets of Lattès maps over finite fields,
To appear in J. Number Theory.
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.