## Professional biography

I am a British Mathematician in the School of Mathematics and Statistics at The Open University, the UK’s distance-learning university, where my principal role is Director of the Open University’s Mathematics MSc programme.

A graduate of the University of Bristol and the University of Warwick, I am a former Deputy Director of the Isaac Newton Institute for Mathematical Sciences in Cambridge, and have taught at the University of Exeter, the University of Stirling and King’s College, Cambridge.

## Research interests

My mathematical research is in nonlinear dynamical systems and its applications, with particular interests in renormalization theory and applications in energy systems. Please see my personal website www.benmestel.com/research/

## Teaching interests

I have extensive teaching experience in many areas of pure and applied mathematics. Please see my personal website www.benmestel.com/teaching/

## Publications

### Journal articles

**Low Carbon Futures: confronting electricity challenges on island systems (2019-10)**

Matthew, George; Nuttall, William; Mestel, Benjamin and Dooley, Laurence

Technological Forecasting and Social Change, 147 (pp. 36-50)

**Using STACK to support student learning at masters level: a case study (2019)**

Lowe, T. W. and Mestel, B. D.

Teaching Mathematics and its Applications: An International Journal of the IMA ((Early Access))

**Change-Point Analysis of Asset Price Bubbles with Power-Law Hazard Function (2019)**

Lynch, Christopher and Mestel, Benjamin

International Journal of Theoretical and Applied Finance, 22, Article 1950033(7)

**A dynamic simulation of low-carbon policy influences on endogenous electricity demand in an isolated island system (2017-10-31)**

Matthew, George Jr.; Nuttall, William J.; Mestel, Ben and Dooley, Laurence S.

Energy Policy, 109 (pp. 121-131)

**Logistic model for stock market bubbles and anti-bubbles (2017-08-03)**

Lynch, Christopher and Mestel, Benjamin

International Journal of Theoretical and Applied Finance, 20, Article 1750038(6)

**Optimal battery charge/discharge strategies for prosumers and suppliers (2017-08)**

Mestel, B. D.

Energy Systems, 8(3) (pp. 511-523)

**Perceptions of Online Tutorials for Distance Learning in Mathematics and Computing (2016-07-22)**

Lowe, Tim; Mestel, Ben and Williams, Gareth

Research in Learning Technology, 24, Article 30630

**Growth of the Sudler product of sines at the golden rotation number (2016-01-01)**

Verschueren, Paul and Mestel, Ben

Journal of Mathematical Analysis and Applications, 433(1) (pp. 220-226)

**Master’s students’ perceptions of Microsoft Word for mathematical typesetting (2015-06)**

Loch, Birgit; Lowe, Tim W. and Mestel, Ben D.

Teaching Mathematics and its Applications, 34(2) (pp. 91-101)

**Renormalization of fluctuations for a generalized Harper equation for periodic continued fractions (2015)**

Hulton, S. and Mestel, B. D.

Dynamical Systems, 30(1) (pp. 85-121)

**A contraction-mapping proof of Koenigs’ theorem (2014-09)**

Mestel, Benjamin D.

Aequationes Mathematicae, 88(1-2) (pp. 35-38)

**Do screencasts help to revise prerequisite mathematics? An investigation of student performance and perception (2014)**

Loch, Birgit; Jordan, Camilla R.; Lowe, Tim. W. and Mestel, Ben. D.

International Journal of Mathematical Education in Science and Technology, 45(2) (pp. 256-268)

**Fixed points of composition sum operators (2014)**

Verschueren, Paul and Mestel, Ben D.

Journal of Difference Equations and Applications, 20(8) (pp. 1152-1168)

**A short proof of the existence of universal functions (2013)**

Mestel, Benjamin D.

Real Analysis Exchange, 38(2) (pp. 425-430)

**On functional equations associated with the renormalization of non-commuting circle mappings (2007)**

Christodoulides, Y. T. and Mestel, B. D.

Journal of Physics A: Mathematical and Theoretical, 40(39) (pp. 11877-11897)

**Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid (2004-12)**

Mestel, B. D. and Osbaldestin, A. H.

Journal of Mathematical Physics, 45(12) (pp. 5042-5075)

**A garden of orchids: a generalized Harper equation at quadratic irrational frequencies (2004-10)**

Mestel, B. D. and Osbaldestin, A. H.

Journal of Physics A: Mathematical and General, 37(39) (pp. 9071-9086)

**Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling (2004-09)**

Mestel, B. D.; Osbaldestin, A. H. and Tsygvintsev, A. V.

Communications in Mathematical Physics, 250(2) (pp. 241-257)

**Renormalization of correlations in a quasiperiodically forced two-level system: quadratic irrationals (2004-09)**

Mestel, B. D. and Osbaldestin, A. H.

Journal of Physics A: Mathematical and General, 37(38) (pp. 8969-8989)

### Conference items

**Renewable Integration in Island Electricity Systems – A System Dynamics Assessment (2016-01-26)**

Matthew, George; Nuttall, William J.; Mestel, Ben; Dooley, Laurence and Ferrão, Paulo Manuel

In : 2nd Asia-Pacific Conference on Complex Systems Design & Management (24-26 Feb 2016, Singapore) (pp. 107-119)

**Insights into the Thermal Generation Futures of Isolated Island Electricity Systems Using System Dynamics (2015-08)**

Matthew, George Jr. S.; Nuttall, William; Mestel, Ben and Dooley, Laurence

In : Proceedings of the 33rd International Conference of the System Dynamics Society (19-23 Jul 2015, Cambridge, Massachusetts, USA)

**Electronic marking of mathematics assignments using Microsoft Word 2007 (2008-07)**

Lowe, Tim; Mestel, Ben and Arrowsmith, Gaynor

In : 12th International CAA Conference: Research into e-Assessment (8-9 Jul 2008, Loughborough University, UK)