Skip to main content

Research Repository

Advanced Search

Project ThaiPASS: international outreach blending astronomy and Python (2021)
Journal Article
Keegans, J. D., Stancliffe, R. J., Bilton, L. E., Cashmore, C. R., Gibson, B. K., Kristensen, M. T., …Chongchitnan, S. (2021). Project ThaiPASS: international outreach blending astronomy and Python. Physics Education, 56(3), https://doi.org/10.1088/1361-6552/abdae7

We present our outreach program, the Thailand–UK Python+Astronomy Summer School (ThaiPASS), a collaborative project comprising UK and Thai institutions and assess its impact and possible application to schools in the United Kingdom. Since its incepti... Read More about Project ThaiPASS: international outreach blending astronomy and Python.

Algebra, matrices, and computers (2019)
Journal Article
Detinko, A., Flannery, D., & Hulpke, A. (2019). Algebra, matrices, and computers. Snapshots of modern mathematics from Oberwolfach, 5, 1-12. https://doi.org/10.14760/SNAP-2019-005-EN

What part does algebra play in representing the real world abstractly? How can algebra be used to solve hard mathematical problems with the aid of modern computing technology? We provide answers to these questions that rely on the theory of matrix gr... Read More about Algebra, matrices, and computers.

The strong approximation theorem and computing with linear groups (2019)
Journal Article
Detinko, A. S., Flannery, D. L., & Hulpke, A. (2019). The strong approximation theorem and computing with linear groups. Journal of Algebra, 529, 536-549. https://doi.org/10.1016/j.jalgebra.2019.04.011

We obtain a computational realization of the strong approximation theorem. That is, we develop algorithms to compute all congruence quotients modulo rational primes of a finitely generated Zariski dense group for . More generally, we are able to com... Read More about The strong approximation theorem and computing with linear groups.

Practical computation with linear groups over infinite domains (2019)
Book Chapter
Detinko, A. S., & Flannery, D. L. (2019). Practical computation with linear groups over infinite domains. In C. Campbell, C. Parker, M. Quick, E. Robertson, & C. Roney-Dougal (Eds.), Groups St Andrews 2017 in Birmingham (261-270). Cambridge: Cambridge University Press. https://doi.org/10.1017/9781108692397.011

We survey recent progress in computing with finitely generated linear groups over infinite fields, describing the mathematical background of a methodology applied to design practical algorithms for these groups. Implementations of the algorithms have... Read More about Practical computation with linear groups over infinite domains.

Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field (2019)
Journal Article
Dommers, S., & Eichelsbacher, P. (in press). Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field. Stochastic processes and their applications, https://doi.org/10.1016/j.spa.2019.02.007

We study the inhomogeneous Curie-Weiss model with external field, where the inhomo-geneity is introduced by adding a positive weight to every vertex and letting the interaction strength between two vertices be proportional to the product of their wei... Read More about Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field.

Upstream passage of adult sea trout (Salmo trutta) at a low-head weir with an Archimedean screw hydropower turbine and co-located fish pass (2018)
Journal Article
Dodd, J. R., Bolland, J. D., Hateley, J., Cowx, I. G., Walton, S. E., Cattaneo, M. E. G. V., & Noble, R. A. A. (2018). Upstream passage of adult sea trout (Salmo trutta) at a low-head weir with an Archimedean screw hydropower turbine and co-located fish pass. Marine and Freshwater Research, 69(12), 1822-1833. https://doi.org/10.1071/MF18125

© 2018 CSIRO. The exploitation of riverine systems for renewable energy has resulted in large numbers of small-scale hydropower schemes on low-head weirs. Although considered a clean and 'green' energy source in terms of emissions, hydropower can aff... Read More about Upstream passage of adult sea trout (Salmo trutta) at a low-head weir with an Archimedean screw hydropower turbine and co-located fish pass.

Linear groups and computation (2018)
Journal Article
Detinko, A. S., & Flannery, D. L. (2019). Linear groups and computation. Expositiones Mathematicae, 37(4), 454-484. https://doi.org/10.1016/j.exmath.2018.07.002

We present an exposition of our ongoing project in a new area of applicable mathematics: practical computation with finitely generated linear groups over infinite fields. Methodology and algorithms available for this class of groups are surveyed. We... Read More about Linear groups and computation.

Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials (2018)
Journal Article
Chongchitnan, S. (2018). Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials. Universe, 4(7), https://doi.org/10.3390/universe4070077

We study a new class of inflation model parametrized by the Hubble radius, such that aH∝exp(−αφ)n. These potentials are plateau-like, and reduce to the power-law potentials in the simplest case n=2. We investigate the range of model parameters that i... Read More about Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials.

Algorithms for experimenting with Zariski dense subgroups (2018)
Journal Article
Detinko, A. S., Flannery, D. L., & Hulpke, A. (2020). Algorithms for experimenting with Zariski dense subgroups. Experimental Mathematics, 29(3), 296-305. https://doi.org/10.1080/10586458.2018.1466217

We give a method to describe all congruence images of a finitely generated Zariski dense group . The method is applied to obtain efficient algorithms for solving this problem in odd prime degree n; if n = 2 then we compute all congruence images only... Read More about Algorithms for experimenting with Zariski dense subgroups.

Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees (2018)
Journal Article
Dommers, S., Giardinà, C., Giberti, C., & Hofstad, R. V. D. (2018). Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees. Journal of statistical physics, 173(3-4), 1045-1081. https://doi.org/10.1007/s10955-018-2027-8

We prove a large deviations principle for the total spin and the number of edges under the annealed Ising measure on generalized random graphs. We also give detailed results on how the annealing over the Ising model changes the degrees of the vertice... Read More about Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees.