Mathematics

Mathematics

Mathematics at Hull has a long history of cutting-edge research in pure and applied mathematics as well as probability and statistics. Our impact is measured in our interactions with industry and society, particularly through our public engagement activities.

The Challenge

Our mission is to promote interdisciplinary research in mathematics (pure, applied, probability and statistics) nationally and internationally.

The Approach

  • In pure mathematics, we study group theory, semigroup theory, and computational algebra
  • In applied mathematics, we study fluid mechanics, environmental and industrial modelling
  • In probability and statistics, we study processes on complex networks, as well as statistical methods in astrophysics
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OUR AIMS

  • To use mathematics to make sense of the world around us through a wide range of pure and applied research
  • To disseminate our mathematics research through high-impact publications and inspiring public engagement

Projects

Abstract

Algebra

At Hull, we study algebra using pure and computational approaches. We develop mathematical tools and design algorithms for computation with algebraic structures represented by matrices and permutations.

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Fluid Mechanics

We investigate the Navier-Stokes equations governing fluid motion. We are especially interested in high Reynolds number flows (typical of water and air flows) as well as hydrodynamical instability.

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Processes on Complex Networks

At Hull, we use probability theory to investigate the behaviour of processes, such as opinion formation, the spread of information and epidemics, on complex networks such as social, information, technological and biological networks.

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Environmental and Industrial Modelling

We develop models to analyse river flows in estuaries and the impact on the growth of vegetation due to pollutants released further upstream. We also investigate and develop numerical methods to solve the model equations.

Outputs and publications

Araújo J, Bentz W and Cameron P J, 'Orbits of Primitive k-Homogeneous Groups on (n-k)–Partitions with Applications to Semigroups', Transactions of the American Mathematical Society, 371, pp 105–136 (2019)

Bentz W, Gillibert P and Sequeira L, 'Finite Abelian Algebras are Fully Dualizable, Communications in Algebra, 46, pp 1539–1553 (2018)

Dommers S, Giardinà C, Giberti C and Van der Hofstad R, 'Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees', Journal of Statistical Physics, 173(3–4), pp 1045–1081 (2018)

Dommers S, 'Metastability of the Ising model on random regular graphs at zero temperature', Probability Theory and Related Fields, 167(1), pp 305–324 (2017)

Detinko A, Flannery D, Hulpke A, 'Zariski density and computing in arithmetic groups', Mathematics of Computation, 87, pp 967-986 (2018)

Detinko A, Flannery D, 'Linear groups and computation', Expositiones Mathematicae (2019)

Inspired?

Our research impacts the world. Come and join us.

Be part of a vibrant research community at the University of Hull.

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