Research OverviewMy 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.
PublicationsCertain CM class fields with smaller generators,
joint with Uzunkol, Submitted.
Bivariate polynomial mappings associated with simple complex Lie algebras,
to appear in J. Number Theory, (2016).
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 NotesZeta Functions and L-Series,
Algebraic Numbers and L-functions Workshop at Adrasan, September 2010.