Teaching and learning
Dr Hambleton teaches 2nd, 3rd and 4th year mathematics and also teaches postgraduate mathematics for data science
Book
Hambleton, Samuel A. and Williams, Hugh C. (2018). Cubic fields with geometry. Cham, Switzerland: Springer Nature. doi: 10.1007/978-3-030-01404-9
Journal Articles
Hambleton, Samuel A. (2017). A cubic generalization of Brahmagupta's identity. Journal of the Ramanujan Mathematical Society, 32 (4), 327-337.
Hambleton, Samuel A. (2012). Generalized lucas-lehmer tests using Pell conics. Proceedings of the American Mathematical Society, 140 (8), 2653-2661. doi: 10.1090/S0002-9939-2011-11196-1
Hambleton, Samuel A. (2012). A brief summary of binary quadratic forms. Surveys in Mathematics and Mathematical Sciences, 1 (1), 65-80.
Hambleton, S. and Scharaschkin, V. (2012). Pell conics and quadratic reciprocity. Rocky Mountain Journal of Mathematics, 42 (1), 91-96. doi: 10.1216/RMJ-2012-42-1-91
Hambleton, S. and Lemmermeyer, F. (2011). Arithmetic of Pell surfaces. Acta Arithmetica, 146 (1), 1-12. doi: 10.4064/aa146-1-1
Hambleton, S. and Scharaschkin, V. (2010). Quadratic reciprocity via resultants. International Journal of Number Theory, 6 (6), 1413-1417. doi: 10.1142/S179304211000354X
Thesis
Hambleton, Samuel Allan (2012). Arithmetic of affine algebraic groups from norm forms in quadratic and cubic fields. PhD Thesis, School of Mathematics & Physics, The University of Queensland.