Nathan Kirk

Education

B.Sc. Mathematics, Queen's University Belfast

M.Sc. Mathematics, University of St Andrews

Ph.D. Mathematics, Queen's University Belfast

Publications

1. N. Kirk, "On Proinov's lower bound for the diaphony," Unif. Distrib. Theory, 15 (2), 39-72 (2020)
2. N. Kirk & F. Pausinger, "On the expected L2-discrepancy of jittered sampling," Unif. Distrib. Theory, 18 (1), 65-82 (2023)
3. F. Clément, N. Kirk & F. Pausinger, "Partitions for stratified sampling", Monte Carlo Methods and Applications, 30 (2), 163-181 (2024)
4. N. Kirk, C. Lemieux & J. Wiart, "Golden ratio nets and sequences," Submitted (ArXiv: 2312.11696) (2024)
5. N. Kirk & C. Lemieux, "On an improved Halton sequence for implementation in quasi-Monte Carlo methods," Accepted for publication in Proceedings of Winter Simulation Conference 2024 (2024)
6. T. K. Rusch, N. Kirk, M. Bronstein, C. Lemieux and D. Rus, "Message-Passing Monte Carlo: Generating low-discrepancy point sets via graph neural networks," (2024)