Dr. Colm Mulhern

My theoretical research focused, primarily, on stochastic processes. My responsibilities included: Developing mathematical models of these physical problems; Developing code and carrying out large scale computer simulations; Analysing the data obtained from the simulations; Producing scientific reports detailing the findings of these simulations. As a teaching assistant I gave lectures and seminars in Quantum Mechanics, Thermodynamics, and Electrodynamics.

I was a research scientist in the group 'Nonlinear Dynamics and Time-Series Analysis'. I worked on nonlinear dynamics projects that examined various mathematical models. These projects utilised my mathematical training, and in particular my PhD work on nonlinear dynamics. Moreover, the complexity of the models required developing computer models (in my case using C++ and Python) that would allow me to gain a deeper understanding of the problem that is often not possible from purely mathematical approach.

I gave tutorials, lab sessions, and one-to-one tuition. In more detail: 1) "Introduction to Statistics and Probability" – Tutorials considering example questions; 2) "Stars and Galaxies" – Computer laboratory sessions using CLEA (Contemporary Laboratory Experiences in Astronomy) software to determine the apparent and absolute magnitudes of stars using photometry; 3) "Maths Café" – This is a drop-in centre for students of all disciplines to receive one-to-one help in any mathematics related problem.

Dynamical systems, Nonlinear dynamics, Chaos

Masters Project: Set Theory - The 'Forcing' technique