
Exploring the magic of numbers
Number Theory is one of the oldest branches of pure mathematics and is concerned with the structure of natural numbers (e.g. 1, 2, 3, 4). Number theorists study prime numbers (2, 3, 5, 7, etc.) as well as the properties of positive integers. Elementary number theory tackles questions using properties of numbers directly and is used to solve equations with rational or integer solutions. Analytic number theory relies on tools from calculus and analysis. 听
Modern number theory research at 黑料网大事记 Canberra uses a mix of these two methods, often flavoured with a computational component of research.
Associated schools, institutes & centres
Study with us
We offer PhD programs in mathematics and statistics and actively encourage new applications. Scholarships of $35,000 (AUD) are available for PhD applicants who achieved H1 (High Distinction) in their undergraduate program and have completed a Master by Research. If you are interested in applying, please contact听t.trudgian@adfa.edu.au.听
We particularly encourage female mathematicians to apply.听
Our researchers
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We have a vibrant group of students and faculty in number theory. Our students, from seven different countries, collaborate with each other and with the visitors we regularly host at our department. Students also pursue their own research, focussing on a mixture of reading classical and modern texts and tackling unsolved problems early in their PhDs.听
We work closely with our colleagues in the听听to publish work and organise joint conferences. We visit Sydney regularly and also travel to stimulating meetings in Australia, including听听and the December meeting of the听.听
Since 黑料网大事记 Canberra provides generous travel support to researchers, several of our students and faculty may have the opportunity to attend overseas conferences. Students can also take advantage of Canberra鈥檚 location, and in their holidays travel to many beautiful scenic locations in Australia: an absolute must!
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Garcia, S. R., Lee, E. S., 2022,听, The Ramanujan Journal 57: 1169鈥1191.
Chen, C., Kerr, B., Maynard, J. and Shparlinski, I. E., 2022,听. Mathematische Annalen (in press).
Johnston, D,, 2022,听. Canadian Mathematical Bulletin (in press)
Simonic虒, A., Trudgian, T. and Turnage-Butterbaugh, C., 2022,听, Transactions of the American Mathematical Society, 375(05), pp.3239-3265.
Mossinghoff, M. J., Starichkova, V. V. and Trudgian, T. S., 2022听, Journal of Number Theory 240: 641鈥655.
Booker, A. R., Hathi, S., Mossinghoff, M. J. and Trudgian, T. S., 2022,听. The Ramanujan Journal, 58(3), 913-941.
Simonic虒, A., 2022,听, Journal of Number Theory 231: 464-491.
Francis, F. J., Lee, E. S., 2022,听, Integers, 22, #A14, pp. 1鈥10.
Kerr, B., Me虂rai, L., and Shparlinski, I. E., 2021,听. Revista Matema虂tica Iberoamericana (in press).
Bordignon, M., 2021,听, Revista Matema虂tica Iberoamericana 38, no. 4, pp. 1101鈥1127
Cully-Hugill, M.; T Trudgian, 2021,听, The Ramanujan Journal 56.1: 141-149.
Lee, E. S., 2021,听, Journal of Number Theory 224: 307-322.
Francis, F. J., 2021,听, Journal of Number Theory, 228, 87-107.
Kobayashi M;听Trudgian听T, 2020, '',听Journal of听Number Theory, vol. 215, pp. 138听鈥撎148
Kerr B;听McGown听KJ;听Trudgian听T, 2020, '',听Journal of听Number Theory, vol. 215, pp. 20听鈥撎27
McGown听KJ;听Trudgian听T, 2020, '',听Proceedings of the American Mathematical Society, vol. 148, pp. 1049听鈥撎1061
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