ProfessionalCurriculum Vitae (updated February 2017)
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. I am currently focused on multivariate exceptional mappings.
PublicationsBivariate 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 NotesZeta Functions and L-Series,
Algebraic Numbers and L-functions Workshop at Adrasan, September 2010.