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Home page of Mark Pollicott


 

pollicott-korea.jpg

By a korean lake in 2014

Mark Pollicott

BSc (Maths&Phys) Warwick 1981
PhD (Mathematics) Warwick 1984

Mathematics Institute,
University of Warwick,
Coventry, CV4 7AL, UK

Office: B.2.27 (Zeeman Building)
Tel: 44 (0)24 7657 4830
Email: masdbl@warwick.ac.uk

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As a student in 1982

Links: Publications Preprints CIRM video Interview  CIRM video Q&A  Google Scholar  What's in a name?
Books: Asterisque 187-8 (1990)   LMSLN 180 (1993) LMSST 40(1998) Asterisque 373 (2015) SLN 2206 (2017)

Research Interests

My main research area is Thermodynamic Formalism. I am particularly interested in applications to other areas of mathematics, including geometry, number theory, dimension theory and analysis. A brief description is here.

 

 spiral  apollonian 
 
 model 
The dimension of the cantor set of numbers whose continued fraction contains only digits 1 and 2.

A circle packing: The diametersof the circles have a simple asymptotic formula

A simple "Blue Peter" model of a chaotic flow corresponding to a geodesic flow


A Little Background

I was both an undergraduate (in Mathematics and Physics) and a graduate student (in Mathematics at Warwick University. My PhD supervisor was the late William Parry, FRS. I returned to Warwick for the first time from 1992 to 1995 (as a Lecturer, then Reader) and for the second time in 2005 (as a Professor).

When not at Warwick, I held permanent positions in Edinburgh (New Blood Lecturer, 1984-88), Porto (Investigador Auxiliar, 1989-92) and Manchester (Fielden chair, 1996-2004).

I have also been the recipient of a Royal Society University Research Fellowship (1992-97), two Royal Society Leverhulme Trust Senior Research Fellowships (1998-99 and 2007-2008) and a E.U. Marie Curie Chair (2004-05). I currently hold a five year EPSRC Leadership Fellowship (2015-2020). In addition, I have held visiting positions at IHES (Paris, 1984-85 and 2012-13), IAS (Princeton, 1988-89), MSRI (Berkeley, 1989 and 2015), CalTech (Pasadena, 1990) and Grenoble (1990). For the last 6 months of 2019 I will hold the Jean Morlet chair at CIRM (Luminy-Marsailles)

I have co-organized a 6 month programme on Ergodic Theory, Geometric Rigidity and Number Theory at the Newton Institute (2000); a year long symposium on Ergodic Theory and Dynamical Systems (2010-2011); a 6 month programme on Fluctuations and Large Deviations at the CIB-Lausanne (2013); and a 4 month programme on Dimension and Dynamics at ICERM-Providence (2016).

I am a consulting editor for the Proceedings of the Edinburgh Mathematical Society and an editor for the Journal of Fractal Geometry and a former editor of Ergodic Theory and Dynamical Systems and Discrete and Continuous Dynamical Systems.