The School has research strengths across Pure Mathematics, Applied Mathematics and Statistics. All the Research groups are internationally-leading, and attract researchers, postgraduate students and collaborators from across the world. The School is also well-known for its research in the History of Mathematics.

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  • Three dimensional MHD simulations of the dynamics and energetics of coronal flux tubes 

    Howson, Thomas Alexander (University of St Andrews, 2019-06-25) - Thesis
    In this thesis we present the results of three-dimensional MHD simulations of the evolution of magnetic flux tubes within the solar atmosphere. We consider the dynamics and energetics of coronal loops that are perturbed ...
  • Semigroup congruences : computational techniques and theoretical applications 

    Torpey, Michael (University of St Andrews, 2019-06-25) - Thesis
    Computational semigroup theory is an area of research that is subject to growing interest. The development of semigroup algorithms allows for new theoretical results to be discovered, which in turn informs the creation ...
  • Maser radiation from collisionless shocks 

    Speirs, D. C.; Ronald, K.; Phelps, A. D. R.; Koepke, M. E.; Cairns, Robert Alan; Rigby, A.; Cruz, F.; Trines, R. M. G. M.; Bamford, R.; Kellet, B. J.; Albertazzi, B.; Cross, J. E.; Fraschetti, F.; Graham, P.; Kozlowski, P. M.; Kuramitsu, Y.; Miniati, F.; Morita, T.; Oliver, M.; Reville, B.; Sakawa, Y.; Sarkar, S.; Spindloe, C.; Koenig, M.; Silva, L. O.; Lamb, D. Q.; Tzeferacos, P.; Lebedev, S.; Gregori, G.; Bingham, R. (2019) - Journal article
    This paper describes a model of electron energization and cyclotron-maser emission applicable to astrophysical magnetized collisionless shocks. It is motivated by the work of Begelman, Ergun and Rees [Astrophys. J. 625 , ...
  • Dissipative particle dynamics simulation of critical pore size in a lipid bilayer membrane 

    Bowman, Clark; Chaplain, Mark; Matzavinos, Anastasios (2019-03-06) - Journal article
    We investigate with computer simulations the critical radius of pores in a lipid bilayer membrane. Ilton et al. (Ilton et al. 2016 Phys. Rev. Lett.117, 257801 (doi:10.1103/PhysRevLett.117.257801)) recently showed that ...
  • On the Hausdorff dimension of microsets 

    Fraser, Jonathan MacDonald; Howroyd, Douglas Charles; Käenmäki, Antti; Yu, Han (2019-03-05) - Journal article
    We investigate how the Hausdorff dimensions of microsets are related to the dimensions of the original set. It is known that the maximal dimension of a microset is the Assouad dimension of the set. We prove that the lower ...

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