Dr Sam Jelbart
Lecturer
School of Computer and Mathematical Sciences
Faculty of Sciences, Engineering and Technology
I am an applied mathematician with a background in the analysis of dynamical systems characterised by multiple time-scales and abrupt transitions. The use of geometric methods is a common theme in my research.
I have expertise in the analysis of ordinary differential equations and non-smooth systems, but a broader interest in the dynamics of maps, partial differential equations and non-autonomous systems. More recently I have been working on rigorous geometric approaches to model reduction in complex dynamical systems with applications in systems biology.
My research is aimed at understanding the behaviour of applied dynamical systems, with a particular emphasis on identifying and utilising structure associated with multiple scales and/or the loss of smoothness. A lot of my research is driven by a long term goal to develop and apply rigorous geometric methods to the study of complex systems, with an eye towards understanding the dynamics of problems of high social and scientific significance in, e.g., climate, biological and biophysical systems.
My PhD focused on planar but highly 'singular' dynamical systems, where I developed expertise in Geometric Singular Perturbation Theory and a method of desingularisation known as geometric blow-up. During my time as a postdoc in Munich and Vienna, I applied this knowledge to dynamical systems with more than two time-scales (both generally and in the context of models for intracellular calcium oscillations), discrete dynamical systems, partial differential equations and non-autonomous systems.
More recently, I have been interested in the development and application of novel geometric methods to the study of complex dynamical processes arising in the study of gene regulatory networks and other models in systems biology.
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Appointments
Date Position Institution name 2024 - 2024 Postdoctoral Fellow Vienna university of technology 2021 - 2024 Postdoctoral Researcher Technical University of Munich 2017 - 2020 PhD Student (applied mathematics) University of Sydney -
Language Competencies
Language Competency English Can read, write, speak, understand spoken and peer review German Can read, speak and understand spoken -
Education
Date Institution name Country Title University of Sydney Australia PhD (Applied Mathematics) University of Sydney Australia Honours (Applied Mathematics) University of Sydney Australia BA Arts & Science (Majors: Mathematics, Physics, Philosophy) -
Research Interests
I was awarded a prestigious Marie Curie Fellowship to work on the project Model Reduction for Complex Systems with Exponential Nonlinearity via Geometric Singular Perturbation Theory https://cordis.europa.eu/project/id/101103827. The fellowship is valued at just under 200,000 Euro over two years.
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