News & Events

School of Mathematical Sciences welcomes two new Postdocs!

30 Oct 2018

The School of Mathematical Sciences welcomes two new postdoctoral researchers this semester. In this article we find out a little bit about them and their research area.



Alan Compelli 

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I completed my PhD at Dublin Institute of Technology in May 2018. My topic was ``Fluid-Dynamic Models of Geophysical Waves''. I have been working as a postdoctoral researcher with Dr David Henry in UCC since July 2018. 

My primary research area is the study of nonlinear partial differential equations. I have a particular interest in developing nonlinear long-wave models of geophysical fluid systems which take into account features such as density stratification, vorticity, wave-current interactions, Coriolis forces and non-uniform depths. This involves analytical approaches to determining exact and approximate representations of the system. The exact models use approaches such as analysing boundary conditions, determining the dynamics of the systems using a Hamiltonian approach and functional calculus and obtaining solutions to the partial differential equations. The approximate representations of the systems use perturbative scaling of the physical variables. Numerical techniques are also used, for example modelling of soliton fission due to interaction with obstructions on the sea floor. I am also interested in the complex inter-relationship between pressure, surface elevation and the associated physical parameters for surface gravity waves.



Arundhathi Krishnan 

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"I'm a postdoctoral researcher in the School of Mathematical Sciences at UCC. I work in the broad area of functional analysis. I obtained my Ph.D. from the Indian Institute of Technology Madras, India, and my thesis was on the pseudospectral theory of elements of Banach algebras. My research area now looks at operator algebras and quantum probability, and I will be working on my research project entitled " Unitary representations of the Thompson group from stationary Markov chains ". I am really excited for my two years in UCC as a postdoc researcher discovering new areas of Mathematics with the support of my mentor Claus Koestler. 




School of Mathematical Sciences

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