Dr Adrian Dudek

Adjunct Associate Professor

School of Mathematics and Physics

a.dudek@uq.edu.au

Researcher biography

Adrian grew up in Perth and double majored in Pure Mathematics and Applied Mathematics at the University of Western Australia. Soonafter, he ventured to Canberra to undertake a PhD, focussing on analytic number theory: an enchanting area where one perplexingly uses calculus and analysis to study discrete structures such as the set of prime numbers.

After this, he worked as a derivatives trader at Optiver APAC for five years and stayed on there as Head of Academic Partnerships. He currently straddles both industry and academia and believes they both have much to offer mathematicians.

Adrian is available (and invariably keen) to supervise honours, masters and PhD projects in analytic number theory.

Featured projects	Duration
The distribution of prime numbers

Publications

Journal Articles (16)

Journal Articles

Cully-Hugill, Michaela and Dudek, Adrian W. (2023). An explicit mean-value estimate for the prime number theorem in interval. Journal of the Australian Mathematical Society, 1-15. doi: 10.1017/S1446788723000113

Cully-Hugill, Michaela and Dudek, Adrian W. (2022). A conditional explicit result for the prime number theorem in short intervals. Research in Number Theory, 8 (3) 61. doi: 10.1007/s40993-022-00358-1

Dudek, Adrian W., Grenie, Loic and Molteni, Giuseppe (2019). Explicit short intervals for primes in arithmetic progressions on GRH. International Journal of Number Theory, 15 (4), 825-862. doi: 10.1142/s1793042119500441

Dudek, Adrian W., Pankowski, Lukasz and Scharaschkin, Victor (2019). Note on the number of divisors of reducible quadratic polynomials. Bulletin of the Australian Mathematical Society, 99 (1), 1-9. doi: 10.1017/S0004972718000734

Dudek, Adrian W. (2017). On the sum of a prime and a square-free number. Ramanujan Journal, 42 (1), 233-240. doi: 10.1007/s11139-015-9736-2

Dudek, Adrian W. (2016). An explicit result for primes between cubes. Functiones Et Approximatio Commentarii Mathematici, 55 (2), 177-197. doi: 10.7169/facm/2016.55.2.3

Dudek, Adrian W. (2016). On the Success of Mishandling Euclid's Lemma. American Mathematical Monthly, 123 (9), 924-927. doi: 10.4169/amer.math.monthly.123.9.924

Dudek, Adrian W. (2016). On the Spectrum of the Generalised Petersen Graphs. Graphs and Combinatorics, 32 (5), 1843-1850. doi: 10.1007/s00373-016-1676-0

Dudek, Adrian W., Grenie, Loic and Molteni, Giuseppe (2016). Primes in explicit short intervals on RH. International Journal of Number Theory, 12 (5), 1391-1407. doi: 10.1142/s1793042116500858

Dudek, Adrian W. (2016). On the number of divisors of n2−1. Bulletin of the Australian Mathematical Society, 93 (2), 194-198. doi: 10.1017/s0004972715001136

Dudek, Adrian W. and Platt, David J. (2016). On the sum of the square of a prime and a square-free number. LMS Journal of Computation and Mathematics, 19 (1), 16-24. doi: 10.1112/s1461157015000297

Dudek, Adrian W. (2016). Almost-Ramanujan graphs and prime gaps (vol 43, pg 204, 2015). European Journal of Combinatorics, 51, 533-534. doi: 10.1016/j.ejc.2015.06.002

Dudek, Adrian W. (2015). An explicit result for |L(1+it,χ)|. Functiones Et Approximatio Commentarii Mathematici, 53 (1), 23-29. doi: 10.7169/facm/2015.53.1.2

Dudek, Adrian W. (2015). On the Riemann hypothesis and the difference between primes. International Journal of Number Theory, 11 (3), 771-778. doi: 10.1142/s1793042115500426

Dudek, Adrian W. (2015). Almost-Ramanujan graphs and prime gaps. European Journal of Combinatorics, 43, 204-209. doi: 10.1016/j.ejc.2014.09.001

Dudek, Adrian W. and Platt, David J. (2015). On Solving a Curious Inequality of Ramanujan. Experimental Mathematics, 24 (3), 289-294. doi: 10.1080/10586458.2014.990118