Dr Anthony Mays

School of Mathematical Sciences

College of Sciences


My research is in various directions, but broadly in the area of statistical physics.

  • Random matrix theory
  • Combinatorics
  • Juggling mathematics
  • Microfossil counting statistics

Date Position Institution name
2023 - ongoing Lecturer University of Adelaide
2022 - 2023 Tutor University of Adelaide
2021 - 2022 Research Fellow University of Melbourne
2018 - 2020 Outreach Fellow University of Melbourne
2016 - 2017 Melbourne Early Career Academic Fellow University of Melbourne
2014 - 2015 Postdoctoral Researcher Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers
2012 - 2014 Postdoctoral Researcher Supélec

Year Citation
2025 Mays, C., Amores, M., & Mays, A. (2025). Field-of-view subsampling: A novel 'exotic marker' method for absolute abundances, validated by simulation and microfossil case studies.. PLoS One, 20(5), e0320887.
DOI Scopus2 WoS2
2023 Forrester, P. J., & Mays, A. (2023). Finite size corrections relating to distributions of the length of longest increasing subsequences. Advances in Applied Mathematics, 145, 102482-1-102482-33.
DOI Scopus6 WoS6
2021 Mays, A., Ponsaing, A., & Schehr, G. (2021). Tracy-Widom Distributions for the Gaussian Orthogonal and Symplectic Ensembles Revisited: A Skew-Orthogonal Polynomials Approach. Journal of Statistical Physics, 182(2), 55 pages.
DOI Scopus2 WoS2
2018 Mays, A., Ponsaing, A. K., & Paganin, D. M. (2018). Determinantal polynomial wave functions induced by random matrices. Physical Review A, 98(6), 24 pages.
DOI Scopus2 WoS1
2017 Bornemann, F., Forrester, P. J., & Mays, A. (2017). Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros. Studies in Applied Mathematics, 138(4), 401-437.
DOI Scopus19 WoS19
2017 Mays, A., & Ponsaing, A. (2017). An induced real quaternion spherical ensemble of random matrices. Random Matrices Theory and Application, 6(1), 29 pages.
DOI Scopus7 WoS7
2015 Forrester, P. J., & Mays, A. (2015). Finite-size corrections in random matrix theory and Odlyzko's dataset for the Riemann zeros. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 471(2182), 21 pages.
DOI Scopus18 WoS18
2013 Mays, A. (2013). A Real Quaternion Spherical Ensemble of Random Matrices. Journal of Statistical Physics, 153(1), 48-69.
DOI Scopus14 WoS14
2012 Forrester, P. J., & Mays, A. (2012). Pfaffian point process for the Gaussian real generalised eigenvalue problem. Probability Theory and Related Fields, 154(1-2), 1-47.
DOI Scopus28 WoS28
2009 Forrester, P. J., & Mays, A. (2009). A method to calculate correlation functions for β=1 random matrices of odd size. Journal of Statistical Physics, 134(3), 443-462.
DOI Scopus31 WoS30

Year Citation
2024 Mays, C., Amores, M., & Mays, A. (2024). Improved absolute abundance estimates from spatial count data with
simulation and microfossil case studies.
2022 Forrester, P. J., & Mays, A. (2022). Finite size corrections relating to distributions of the length of
longest increasing subsequences.
2020 Mays, A., Ponsaing, A., & Schehr, G. (2020). Tracy-Widom distributions for the Gaussian orthogonal and symplectic
ensembles revisited: a skew-orthogonal polynomials approach.
2018 Mays, A., Ponsaing, A. K., & Paganin, D. M. (2018). Determinantal polynomial wave functions induced by random matrices.
2016 Bornemann, F., Forrester, P. J., & Mays, A. (2016). Finite size effects for spacing distributions in random matrix theory:
circular ensembles and Riemann zeros.
2016 Mays, A., & Ponsaing, A. (2016). An induced real quaternion spherical ensemble of random matrices.
2015 Forrester, P. J., & Mays, A. (2015). Finite size corrections in random matrix theory and Odlyzko's data set
for the Riemann zeros.
2012 Mays, A. (2012). A real quaternion spherical ensemble of random matrices.
2012 Mays, A. (2012). A geometrical triumvirate of real random matrices.
2009 Forrester, P. J., & Mays, A. (2009). Pfaffian point process for the Gaussian real generalised eigenvalue
problem.
2008 Forrester, P. J., & Mays, A. (2008). A method to calculate correlation functions for $β=1$ random
matrices of odd size.

Currently I am teaching Masters' level probability and data science courses.


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