Douglas Howroyd
CV


Douglas Howroyd

I am a third year PhD student at the University of St. Andrews in the analysis research group. I am EPSRC funded, and supervised by Kenneth Falconer and Jonathan Fraser.

I am interested in fractal geometry, dimension theory, geometric measure theory and ergodic theory.

  • Room 103
  • School of Mathematics and Statistics
  • The University of St Andrews
  • St Andrews
  • KY16 9SS
  • Scotland

  • Email:
  • or

Research

You may also find me at any of the below places:

Publications

Submitted

  1. On the Hausdorff dimension of microsets. (Joint with J. M. Fraser, Antti Käenmäki and H. Yu)
    arXiv

Accepted

  1. Dimension growth for iterated sumsets. (Joint with J. M. Fraser and H. Yu)
    To appear in Mathematische Zeitschrift, arXiv

  2. Assouad type dimensions for certain sponges with a weak coordinate ordering condition.
    To appear in Journal of Fractal Geometry, arXiv

  3. Assouad dimension of random processes. (Joint with H. Yu)
    To appear in Proceedings of the Edinburgh Mathematical Society, arXiv.

  4. On the upper regularity dimension of measures. (Joint with J. M. Fraser)
    To appear in Indiana University Mathematics Jouranl, arXiv.

Published

  1. Assouad type dimensions for self-affine sponges. (Joint with J. M. Fraser) arXiv
    Annales Academiae Scientiarum Fennicae-Mathematica, 42, (2017), 149-174.

Talks and Conferences

Upcoming Conferences

  • Number Theory and Dynamics, Cambridge, March 2019

Conferences Attended

  • Arbeitsgemeinschaft: Rigidity of Stationary Measure, Oberwolfach, October 2018

  • Fractal Geometry and Stochastics 6, Germany, October 2018

  • CMI at 20, Oxford, September 2018

  • Thermodynamic Formalism in Dynamical Systems , Edinburgh, June 2018

  • British Mathematical Colloquium, St Andrews, June 2018

  • EMS Postgraduate Meeting for Students, The Burn, May 2018

  • Postgraduate Interdisciplinary Mathematical Symposium, The Burn, February 2018

  • Workshop on Fractals and Dimensions, Institut Mittag-Leffler, December 2017

  • Fractal Geometry and Dynamics Research Program, Institut Mittag-Leffler, November 2017

  • Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry, Oberwolfach, October 2017

  • Workshop on Diophantine approximation and related fields, York, June 2017

  • EMS Postgraduate Meeting for Students, The Burn, June 2017

  • Postgraduate Interdisciplinary Mathematical Symposium, The Burn, January 2017

  • Young Researchers in Mathematics, St Andrews, 2016

  • LMS Northern Regional Meeting, Manchester, June 2016

  • British Mathematical Colloquium, Bristol, 2016

  • Fractal geometry and dimension theory one day meeting, The University of Manchester, 07/15

Talks Given

  • A history of the sundial
    Postgraduate Interdisciplinary Mathematical Symposium, The Burn, January 2019

  • On the Hausdorff dimension of microsets
    Fractal Geometry and Stochastics 6, Germany, October 2018

  • A brief introduction to fractal geometry
    EMS Postgraduate Meeting for Students, The Burn, May 2018

  • An Introduction to Mathematical Analysis
    Postgraduate Interdisciplinary Mathematical Symposium, The Burn, February 2018

  • Some dimension results on iterated sumsets
    Workshop on Fractals and Dimensions, Institut Mittag-Leffler, December 2017

  • Some dimension results on iterated sumsets
    Fractal Geometry and Dynamics Research Program, Institut Mittag-Leffler, November 2017

  • EMS Postgraduate Meeting for Students, The Burn, 2017

  • Postgraduate Interdisciplinary Mathematical Symposium, The Burn, 2017

  • Various internal seminars

  • Dimensions of self-affine carpets
    Young Researchers in Mathematics, St Andrews, 2016

Teaching

2017-

CAPOD 1-1 tutoring

2018/19

Semester 1

MT2502: Analysis - 2 tutorials per week.

MT2000: Introduction to Python workshops

MT2504: Combinatorics and Probability Python workshops

Semester 2

MT1003: Pure and Applied Mathematics - 2 tutorials per week.

MT2505: Abstract Algebra Python workshops

2017/18

Semester 1

MT2502: Analysis - 3 tutorials per week.

Semester 2

MT1003: Pure and Applied Mathematics - 2 tutorials per week.

2016/17

Semester 1

MT2502: Analysis - 2 tutorials per week.

Semester 2

MT1003: Pure and Applied Mathematics - 2 tutorials per week.

2015/16

Semester 1

MATH20101: Real and Complex Analysis - 1 tutorial per week for the complex analysis part of the course.

Semester 2

MATH10212: Linear Algebra B - 1 tutorial per week.