### Education

BA (Actuarial Studies), Macquarie UniversityBSc (Honours) (Advanced Mathematics), University of New South Wales

PhD (Pure Mathematics), University of New South Wales

### Publications

(Links are to Arxiv which may differ from final published article)(with O. Bordellès, L.Dain, H. Pan, I.E. Shparlinski) On a sum involving the Euler function <PDF>, Journal of Number Theory (to appear).

(with Juan Arias de Reyna) Tuples of polynomials over finite fields with pairwise coprimality conditions <PDF>, Finite Fields and their Applications (to appear).

(with I. E. Shparlinski) On the number of Eisenstein polynomials of bounded height <PDF>, Applied Algebra in Engineering, Communication and Computing

**24**(2013), 149-156.

(with I. E. Shparlinski) On shifted Eisenstein polynomials <PDF>, Periodica Mathematica Hungarica

**69**(2014), 170-181.

On the number of polynomials of bounded height that satisfy Dumas's criterion <PDF>, Journal of Integer Sequences

**17**(2014).

Pairwise non-primality of triples <PDF>, Preprint, 2013.

(with Juan Arias de Reyna) Counting tuples restricted by coprimality conditions <PDF>, Journal of Integer Sequences

**10**, (2015).

(with I.E. Shparlinski) On the Greatest Common Divisor of shifted sets <PDF>, Journal of Number Theory

**154**, (2015), 63-73.

(with I.E. Shparlinski) Counting irreducible binomials over finite fields <PDF>, Finite Fields and their Applications,

**38**, (2016), 1-12.

Evaluationally coprime linear polynomials <PDF>, Integers, 16, (2016), A65.

### Conference Presentations

'Modular forms and the sums of four squares', Honours seminar, Sept 2011, University of New South Wales, Sydney.'Modular forms and the sums of four squares', CARMA number theory seminar, Nov 2011, University of Newcastle, Newcastle.

'Counting polynomials that satisfy the Eisenstein criterion', 36th Australian Conference on Combinatorial Mathematics and Combinatorial Computing, Dec 2012, University of New South Wales, Sydney.

'Pairwise non-coprimality', Australian Mathematical Society, 57th Annual Conference, Oct 2013, University of Sydney, Sydney.

'The Eisenstein criterion and pairwise coprimality', Pure mathematics seminar, Sept 2014, University of New South Wales, Sydney.

'The approximate GCD problem', Number theory seminar, Apr 2015, University of New South Wales, Sydney.

'The approximate GCD problem', Australian Mathematical Society, 59th Annual Conference, Sept 2015, Flinders University, Adelaide.

'Pairwise coprimality', 5th Number Theory Down Under Conference, Oct 2017, Latrobe University, Bendigo.

Attended as Australian Mathematics Society delegate, Science meets Parliament 2018, Feb. 2018, Parliament House, Canberra.

'Pairwise coprimality', Integers conference, Oct 2018, Augusta, Georgia, United States of America.