Randell Heyman BA BSc (Hons) PhD

Translating Mathematics into English

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Education

BA (Actuarial Studies), Macquarie University
BSc (Honours) (Advanced Mathematics), University of New South Wales
PhD (Pure Mathematics), University of New South Wales

Publications

(with Juan Arias de Reyna) Tuples of polynomials over finite fields with pairwise coprimality conditions <PDF>, Preprint, 2017.

(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.