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William O'Regan

Research: I am a third year PhD student supervised by András MáthéLink opens in a new window. My research area is fractal geometry, particularly from the perspective of geometric measure theory & additive combinatorics.

Education: I completed a MSci in Mathematics at the University of Bristol. My fourth year project was supervised by Thomas JordanLink opens in a new window and was entitled 'Large deviations on self-affine sets'.

Preprints: Preprints in preparation.

Administrative duties: I help to organise the DAGGER seminar, an informal seminar for young researchers (Masters, PhD, Postdoc), predominantly in Dynamics. Please email me if you would like to give a talk.

Talks:

  • Efficiently covering the Sierpiński carpet with tubes, Warwick postgraduate seminar (Coventry, UK), 20/10/21.
  • Dimension drop for projected self-similar measures, Warwick DAGGER seminar (Coventry, UK), 6/3/22.
  • Efficiently covering sets with tubes, Workshop on affine and overlapping iterated function systems (Bristol, UK), 11/5/22.
  • Efficiently covering carpets with tubes, Geometry of deterministic and random fractals (Budapest, Hungary), 27/7/22.
  • Efficiently covering carpets with tubes/ Large deviations on self affine sets, Fractals and related fields IV (Porquerolles, France), 8/9/22.
  • Sum-product phenomena. Junior number theory seminar, notes, (Coventry, UK), 7/11/22.
  • Introduction to Fractal Geometry. Warwick postgraduate seminar, (Coventry, UK), 1/2/23

Conferences/ workshops/ meetings attended:

  • Junior ergodic theory meeting (Edinburgh, UK)
  • Workshop on affine and overlapping iterated function systems (Bristol, UK)
  • Geometry of deterministic and random fractals (Budapest, Hungary)
  • Fractals and related fields IV (Porquerolles, France)
  • Ergodic theory & fractal geometry (Birmingham, UK)
  • Ergodic theory meeting (Manchester, UK)
  • Ergodic theory meeting (London, UK)

Teaching 2020/21:

Term 1 Term 2
Undergraduate Supervision Group x2 Fractal Geometry Teaching Assistant
  Undergraduate Supervision Group x2

Teaching 2021/22:

Term 1 Term 2
Analysis III Teaching Assistant Fractal Geometry Teaching Assistant
Undergraduate Supervision Group x1  

Teaching 2022/23:

Term 1 Term 2
Dynamical Systems Teaching Assistant Fractal Geometry Teaching Assistant
Fourier Analysis Teaching Assistant  

Contact: william.o-regan at warwick dot ac dot uk