Home page of Mark Pollicott
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At the IHP (Paris) in 2024. |
Mark PollicottPhD (Mathematics, Warwick 1984) Mathematics Institute,
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As a student (standing behind W. Parry) |
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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.
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| 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.