For my publications, see my Google Scholar page as Google is better at updating lists than I am!
I have a broad range of research interests across the field of applied mathematics, but I focus particularly on engineering-related applications including robotics. Many mathematicians would call me an engineer, whilst many would engineers call me a mathematician — you can form your own opinions!
I’m more generally interested in the theory/practice underpinning scientific computing and programming. I'm very keen on the Julia programming language and recommend it for technical computing.
My specialties include
mathematical modelling (mostly engineering related, but I enjoy broader challenges and I’ve done some work in the bio-sciences),
the dynamics and control of nonlinear systems,
numerical methods for dynamical systems (particularly in the area of bifurcation analysis),
systems with delay (mostly delay differential equations).
See my page on potential research topics for some thoughts on these areas.
Despite being focussed on mathematics, I'm keen to 'get my hands dirty' by working directly with physical experiments. As such, the challenges of dealing with systems that are stochastic or uncertain are of significant interest to me. As such, Scientific Machine Learning (SciML) is an area that I am focussing on at the moment since it brings the possibility of fusing physics-based differential-equation models with machine learnt models. If you are interested in learning more about SciML, Chris Rackauckas has produced a nice tutorial for doing SciML in Julia.
Sandor Beregi — working on control-based continuation and SciML funded by as part of the EPSRC grant "Next-generation test methods for nonlinear structures" (May 2019 until May 2022).
Alessandra Vizzaccaro — working on hybrid testing with uncertainty as part of the EPSRC grant "Digital twins for improved dynamic design" (November 2020 until January 2023).
Kirsty Aquilina — working on control schemes for tactile manipulation in robotics and funded by the FARSCOPE centre for doctoral training (started Jan 2016).
Ollie Frolovs — working on control-based continuation applied to rotor dynamics and funded by an EPSRC iCASE studentship (started Sept 2016).
Kyoung Hyun Lee — working on the fundamentals of control-based continuation and funded by a University of Bristol overseas scholarship (started Oct 2018).
Lizzie Stone — working on online learning control for tactile robotics and funded by the FARSCOPE centre for doctoral training (started Jan 2018).
Ludovic Renson — worked on control theory and related aspects control-based continuation (September 2014 until August 2019). Went onto a lectureship at Imperial College.
Irene Tartaruga — worked on control-based continuation as part of the EPSRC grant "Next-generation test methods for nonlinear structures" (May 2017 to December 2018). Went onto a permanent position at Stirling Dynamics.
Adam Zienkiewicz — Data-driven modelling of zebrafish locomotion and collective behaviour (awarded PhD 10 May 2016).
Dan Hewitt — Detecting freeplay in mechanical systems (awarded PhD 10 May 2016).
Andrea Cammarano — Increasing the bandwidth of resonant vibration-based energy harvesters (awarded PhD 8 January 2013).