School of Mathematical Sciences UCC

Dr Alan Compelli

Postdoctoral Researcher

Professional Experience

Jul 2018-Present, Postdoctoral Researcher, University College Cork

Sep 2015-Jan 2018, Part-Time Assistant Lecturer, Dublin Institute of Technology


2015-2018, PhD in Applied Mathematics, Dublin Institute of Technology

·         Thesis: Fluid-dynamic models of geophysical waves

2011-2014, MSc in Applied Mathematics & Theoretical Physics, Dublin Institute of Technology

·         Dissertation: Hamiltonian formulation and Boussinesq and KdV approximations of water waves

·         Completed taught modules: quantum field theory, biological mathematics, functional analysis and spectral theory and general relativity and cosmology.

1995-1996, MSc in Opto-electronics & Optical Information Processing, Queen's University Belfast

·         Dissertation: Surface plasmon enhanced ablation of thin films using an excimer laser.

1991-1995, BSc in Applied Physics, Dublin City University

·         Final Year Project: Trajectories of atmospheric Van Allen particles.


Research Interests

·         Nonlinear models of geophysical fluid systems with vorticity

·         Perturbation theory

·         Hamiltonian systems

·         Soliton theory

·         Computational modelling

·         Software development

Research Dissemination

Published peer-reviewed articles





Discrete and Continuous Dynamical Systems A 39(8) 4519-4532

Benjamin-Ono model of an internal wave under a flat surface (A. Compelli & R. Ivanov)



Deep-Sea Research Part II 160C 25-31

Surface waves over currents and uneven bottom (A. Compelli, R. Ivanov, C. Martin & M. Todorov)

(DOI: 10.1016/j.dsr2.2018.11.004)


Philosophical Transactions of the Royal Society A 376 20170091

Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom (A. Compelli, R. Ivanov & M. Todorov)

(DOI: 10.1098/rsta.2017.0091)


Journal of Mathematical Fluid Mechanics 19(2) 329-344

The dynamics of flat surface internal geophysical waves with currents (A. Compelli & R. Ivanov)

(DOI: 10.1007/s00021-016-0283-4)


Monatshefte für Mathematik 179(4) 509-521

Hamiltonian approach to the modeling of internal geophysical waves with vorticity (A. Compelli)

(DOI: 10.1007/s00605-014-0724-1)


Journal of Nonlinear Mathematical Physics 22 531-539

On the dynamics of internal waves interacting with the equatorial undercurrent (A. Compelli & R. Ivanov)

(DOI: 10.1080/14029251.2015.1113052)


Wave Motion 54 115-124

Hamiltonian formulation of 2 bounded immiscible media with constant non-zero vorticities and a common interface (A. Compelli)

(DOI: 10.1007/s00605-014-0724-1)


Published peer-reviewed conference proceedings





AIP Conference Proceedings 1895 040002-1-040002-8

Solitary wave solution of flat surface internal geophysical waves with vorticity (A. Compelli)


Pliska Studia Mathematica 26

Models of internal waves in the presence of currents (A. Compelli & R. Ivanov)


Pliska Studia Mathematica 25

Hamiltonian approach to internal wave-current interactions in a two-media fluid with a rigid lid (A. Compelli & R. Ivanov)



Invited seminar speaker

·         University of Plymouth (2019)

·         University College Cork (2018)

·         University of Exeter (2017)

·         Waterford Institute of Technology (2016)

·         Dublin Institute of Technology (2016)

·         University College Cork (2015)


Invited conference speaker

·         9th Application of Mathematics in Technical and Natural Sciences conference, Bulgaria (2017)

·         Graduate Research Symposium, Dublin Institute of Technology (2017)

·         SIAM student chapter conference, University of Limerick (2016)

·         SIAM student chapter conference, National University of Ireland Galway (2015)

·         Water Wave Dynamics, University of Vienna (2015)


Workshop and summer school attendee

·         Waves in Fluids summer school and workshop, Czech Academy of Sciences, Prague (2018)

·         Mathematical Aspects of Physical Oceanography, Erwin Schrödinger International Institute for Mathematics and Physics, Vienna (2018)

·         Nonlinear Water Waves, Isaac Newton Institute, University of Cambridge (2017)

·         Mathematics Applications Consortium for Science and Industry, University of Limerick (2016)

·         Nonlinear Phenomena workshop, Dublin Institute of Technology (2014)


Apr 2017 - Jun 2017, Erwin Schrödinger International Institute for Mathematics and Physics, Research in Teams award, ESI, Vienna

·         Part of a team of 3 researchers awarded funding to perform the collaborative research Hamiltonian approach to modelling geophysical waves and currents with impact on natural hazards in the University of Vienna's ESI institute under the Research in Teams program.


Apr 2015 - June 2018, DIT Fiosraigh Dean of Graduate Research School Award

·         Recipient of full scholarship to undertake a PhD.




Phone 5813 (internal) +353 21 420 5818 (external)


Mail 1-65 Western Gateway Building, University College Cork, Cork, Ireland.