Stuart Burrell

Research Scientist, Featurespace

140 Science Park, Cambridge, UK

firstname.lastname@featurespace.co.uk

Bio

I'm a Research Scientist at Featurespace with the deep learning team. Previously, I was a research fellow at the University of St Andrews in geometric measure theory, funded by an early career fellowship from the London Mathematical Society and the Heilbronn Institute for Mathematical Research.

Publications

The fractal structure of elliptical polynomial spirals

S. A. Burrell, K. J. Falconer and J. M. Fraser

Monatsh. Math., Vol. 199, pp. 1–22, 2022.

Dimensions of fractional Brownian images

S. A. Burrell

Journal of Theoretical Probability, (to appear) 2022.

Projection theorems for intermediate dimensions

S. A. Burrell, K. J. Falconer and J. M. Fraser

Journal of Fractal Geometry, Vol. 8, No. 2, pp. 95-116, 2021.

Digit expansions of numbers in different bases

S. A. Burrell, H. Yu

Journal of Number Theory, Vol. 226, pp. 284-306, 2021.

Coincidence and disparity of fractal dimensions

S. A. Burrell

PhD Thesis, University of St Andrews, 2021

The dimension of inhomogeneous self-affine sets

S. A. Burrell

Annal. Acad. Sci. Fenn. Math., Vol. 45, pp. 313-324, 2020.

On the dimension and measure of inhomogeneous attractors

S. A. Burrell

Real Analysis Exchange, Vol. 44, No. 1, pp. 199-216, 2019.

Talks

  • Outreach
  • Conferences
  • Seminars

Sundials, dimensions and fractal projections

The Royal College of Physicians and Surgeons, Glasgow, February 2019

Positive problem solving

First Chances Scheme, University of St Andrews, February 2019

The journey to a PhD in Mathematics

UWS Summer STEM Academy, Glasgow, July 2018

Fractal geometry in nature and art

The Royal Society of Edinburgh, February 2018

The elliptical spiral mapping problem

Dynamic Days Europe, Nice, France, August 2021

Local structure of elliptical polynomial spirals

British Early Career Mathematicians’ Colloquium, July 2021

Dimension and deformation of elliptical polynomial spirals

Junior Ergodic Theory Meeting (JETS), November 2020

Projection theorems for intermediate dimensions

Thermodynamic Formalism: Ergodic Theory and Geometry, University of Warwick, United Kingdom, July 2019

Inhomogeneous attractors: an introduction and recent developments

Edinburgh Mathematical Society PG Student Meeting, The Burn, Glen Esk, May 2019

The dimensions of inhomogeneous self-affine sets

Fractals and Stochastics VI, KIT, Germany, October 2018

A brief note on the dimension of inhomogeneous attractors

Dynamics Days Europe, University of Loughborough, September 2018

A universal upper bound on the dimension of inhomogeneous attractors (speed talk)

British Mathematical Colloquium, University of St Andrews, June 2018

How big are inhomogeneous attractors?

Edinburgh Mathematical Society PG Student Meeting, The Burn, Glen Esk, May 2018

Inhomogeneous attractors and upper box dimension

Fractals and Dimensions, Institut Mittag-Leffler, Sweden, December 2017

Inhomogeneous attractors and upper box dimension

Fractals and Dimensions, Institut Mittag-Leffler, Sweden, December 2017

Introduction to trace contrast methods

Estimating Animal Density with Acoustics, University of Cape Town, South Africa, January 2017

Trace contrast methods in acoustic space

African Institute for Mathematical Sciences, South Africa, January 2017

Introduction to trace contrast methods

Estimating Animal Density with Acoustics, University of Cape Town, South Africa, January 2017

Trace contrast methods in acoustic space

African Institute for Mathematical Sciences, South Africa, January 2017

Brownian tumbleweed, dimension and the spiral mapping problem

Pure Analysis Seminar, University of St Andrews, November 2020

Interdimensional travel

Pure Postgraduate Seminar, University of St Andrews, February 2020

Projections, capacities and intermediate dimensions

Pure Analysis Seminar, University of St Andrews, November 2019

Energetic dimension interpolation on projections of sets

Pure Analysis Seminar, University of St Andrews, March 2019

Capacity theoretic approaches to dimension

Pure Postgraduate Seminar, University of St Andrews, March 2019

Foundations and applications of fractal geometry

Postgraduate Interdisciplinary Mathematics Symposium, The Burn, Glen Esk, January 2019

Dimension drop and inhomogeneous self-affine sets

Pure Analysis Seminar, University of St Andrews, October 2018

On the dimension and measure of inhomogeneous attractors

Pure Analysis Seminar, University of St Andrews, April 2018

An introduction to inhomogeneous attractors

Pure Postgraduate Seminar, University of St Andrews, April 2018

An introduction to iterated function systems

Postgraduate Interdisciplinary Mathematics Symposium, The Burn, Glen Esk, Februrary 2018

Dimension of inhomogeneous self-conformal and self-affine sets

School of Mathematics and Statistics Research Day, University of St Andrews, January 2018

Sequential Monte Carlo in population dynamics

Master's Defense, St Andrews, April 2016

Teaching

I enjoy teaching and received Associate Fellowship of the Higher Education Academy (AFHEA). At the University of St Andrews, three students kindly nominated me for the 'Best Postgraduate Tutor' teaching award. I have also designed courses for and worked with The Brilliant Club and First Chances Fife to promote wider access to higher education in the UK.