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Home page of Mark Pollicott

mp 

At the IHP (Paris) in 2024.

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

old-mp

As a student (standing behind W. Parry)

Links:

Curriculum Publications Preprints Google Scholar What's in a name?

Research Interests

My main research area is Thermodynamic Formalism, which is a subset of Ergodic Theory and Dynamical Systems. I am particularly interested in applications to other areas of mathematics, including geometry, number theory, fractal geometry and analysis.

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

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

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

A brief description of my earlier interests is here.

A Little Background

I was born in Nottingham (England) and attended High Pavement Grammar School, where my housemaster was Booker prize winning author Stanley Middleton. I was both an undergraduate (in the Physics Department) and a graduate student (in the Mathematics Department ) at Warwick University. My PhD supervisor was the late William Parry, FRS. I returned to Warwick for the first time from 1992-1995 (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, 1984-1988), Porto (Investigador Auxiliar, 1989-1992) and Manchester (Fielden chair, 1996-2004).

I have also been the recipient of a Royal Society University Research Fellowship (1992-1997), two Royal Society Leverhulme Trust Senior Research Fellowships (1998-99 and 2007-2008), a E.U. Marie Curie Chair (2004-2005), an EPSRC Leadership Fellowship (2015-2019) and an ERC Advanced Grant (2019-2025).

In addition, I have held visiting positions at IHES (Paris, 1984-1985 and 2012-2013), IAS (Princeton, 1988-1989), MSRI (Berkeley, 1989 and 2015), CalTech (Pasadena, 1990) and Grenoble (1990). From Jul-Dec.2019 I held the Jean Morlet chair at CIRM (Luminy, Marsaille).

Scientific Activities

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) at Warwick; 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), as well many other individual conferences. including a school, workshop and conference on Thermodynamic Formalism (CIRM-Luminy, in July and December, 2019). More recently, I co-organized two workshops at Warwick (in July and December 2024).

I am a consulting editor for the Proceedings of the Edinburgh Mathematical Society, an editor for the Journal of Fractal Geometry and Nonlinearity, a member of the Advisory Board for the Springer Lecture Notes in Mathematics and a former editor of both Ergodic Theory and Dynamical Systems and Discrete and Continuous Dynamical Systems.

To date, I have supervised 19 PhD students and mentored 18 postdoctoral researchers.