# Dr Andrew Burbanks

Principal Lecturer

### Biography

I am a Principal Lecturer in Mathematics and an Associate Member of the Institute of Cosmology and Gravitation at the University of Portsmouth in the UK. My main research interests are in nonlinear dynamics and the visualisation of mathematical structures.

I completed my PhD at the University of Loughborough, after which I went on to work at Hewlett-Packard's research laboratories in Bristol before taking up Postdoctoral research positions in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge and later in the School of Mathematics at the University of Bristol where I gained a permanent post as Scientific Programmer.

I also gave a course of lectures in Part III of the University of Cambridge Mathematics Tripos (Applied) on renormalisation in Dynamical Systems.

I joined the Department of Mathematics at the University of Portsmouth in 2005, and am now a member of the Nonlinear and Complex Systems Group.

I have been involved in several successful projects on the interface between science and public understanding, including the Mathematics Posters on the London Underground project in 2000, with the Isaac Newton Institute for Mathematical Sciences in Cambridge, and the Dynamics of Spin exhibit at the Royal Society Summer Science Exhibition in London in 2007 and at Techfest (Asia's largest Science and Technology festival) held in Mumbai in 2008. I also co-founded and chaired the Portsmouth Cafe Scientifique.

Roles:

Principal Lecturer in Mathematics

Research Coordinator, Department of Mathematics (2011-date)

REF Unit of Assessment Coordinator, UoA10 Mathematics

Postgraduate Admissions Tutor, Department of Mathematics (2011-2012)

Associate Member, Institute of Cosmology and Gravitation (2005-date)

Research Correspondent, Isaac Newton Institute, Cambridge (2006-2016)

Induction Coordinator, Mathematics, University of Portsmouth (2009-2011)

Department Web Manager & Publicity Officer (2005-2016)

Co-founder & Chair, CafĂ© Scientifique Portsmouth (2006-2016)

Annual Festival of Maths & Art Team

Professional Memberships:

1998-date London Mathematical Society (LMS)

2001-date Free Software Foundation

2000-2003 SIAM (Society for Industrial and Applied Mathematics)

1993-2000 Graduate Member of the IMA (Winner: Loughborough IMA Prize 1993)

Recent Career History:

2012-date Principal Lecturer. Department of Mathematics, University of Portsmouth, UK.

2005-2012 Senior Lecturer. Department of Mathematics, University of Portsmouth, UK.

2001-2005 Scientific Programmer (Permanent Post). School of Mathematics, University of Bristol, UK.

1998-2001 Lectured Mathematical Tripos Part III (Applied). Postdoctoral Research Associate. Statistical Laboratory, Department of Pure Mathematics and Mathematical Statistics (DPMMS), University of Cambridge, UK.

1997-1998 Postdoctoral Fellow, Basic Research Institute in the Mathematical Sciences (BRIMS), Hewlett-Packard Laboratories Europe, Bristol, UK.

1995 (Sep-Oct) Visiting Fellow, Santa Fe Institute, New Mexico, USA.

1993-1997 PhD, Mathematics, Renormalisation for Siegel Discs, Loughborough, UK.

1990-1993 BSc, Mathematics and Computation, Loughborough, UK.

### Research Interests

Nonlinear dynamics in systems of coupled units; localisation, ratchets, collective phenomena, transport in phase space:

The prototypical model is one-dimensional particle motion in a tilted spatially periodic potential. Corresponding experimental realisations include Josephson junctions, charge density waves, superionic conductors, rotation of dipoles in external fields, phase-locked loops and diffusion of dimers on surfaces. Particle interactions can lead to cooperative effects not found in situations of individual particle motion. The objective of the current work is to investigate the conditions under which it is possible to generate a directed flow along with collective motion in systems of coupled particles and in systems subject to driving forces.

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