2pm; Dr. Doireann O’Kiely, UL, Moving out of plane: mathematical models for wrinkling and buckling
Brief synopsis of lecture content:
Thin structures typically buckle out of plane when compressed, giving rise to a myriad of shapes. These range from classic Euler buckling to honey coiling to microscale wrinkling patterns. Some of these situations correspond to a “failure”, but others may be advantageous.
In this talk I will introduce some examples of buckling and wrinkling, and the mathematical models used to describe it. I will focus in particular on a combined experimental and mathematical study of the dynamic evolution of wrinkles in elastic sheets.
3pm: Dr. Paula Carroll, UCD, An introduction to linear and integer programming.
In this lecture we will introduce the ideas behind linear and integer programming (ILP). These are optimisation techniques that allow us to choose the best mix of actions subject to a set of constraints. Staff rostering, Vehicle Routing, Network Design, and deciding which electricity power generating units should be assigned to meet estimated electricity demand are just some of the problem domains where ILP has been successful.
4-5pm: Dr. Mark Dukes, UCD, Some combinatorial aspects of sandpiles and declarative systems
Brief synopsis of lecture content: In this talk I will give an overview of some of my recent work that concerns two different complex systems: the Abelian sandpile model and declarative systems.
Doireann O’Kiely is a continuum mechanics, asymptotics and free-boundary problems enthusiast working in MACSI at the University of Limerick. She works on mathematical models for viscous flow, elasticity, elasto-capillarity and chemistry.
Mark Dukes is a mathematician who works in the areas of combinatorics, discrete mathematics, and their uses in the study of complex systems. He holds an MA from the University of Oxford and a PhD from Trinity College Dublin. During his career he has held research positions at the Dublin Institute for Advanced Studies, University of Rome Tor Vergata, University of Bordeaux 1 and University of Iceland. Before coming to UCD he was a Senior Lecturer at the University of Strathclyde.
The SFI Centre for Research Training in Foundations of Data Science will train a cohort of PhD students with world-class foundational understanding in the horizontal themes of Applied Mathematics, Statistics, and Machine Learning.
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