James Hyde

I am a 24 year old Ph.D student at the University of St. Andrews. I am a member of the Algebra Research Group and am currently jointly supervised by Professor Nik Ruskuc and Dr Martyn Quick. I am in my second year.

I am funded by the E.P.S.R.C.

If you wish to contact me you can find the appropriate details at the bottom of the page.

My Erdös number is 4

      with shortest path: J. Hyde → N. Ruskuc → M. Morayne → G. Kubicki → P. Erdös

Research Interests
  • Semigroups
  • Universal algebras
  • Fractal geometry
Publications
    1) Iterated Cesàro averages, frequencies of digits, and Baire category (with V. Laschos, L. Olsen, I. Petrykiewicz and A. Shaw), preprint
            - Acta Arith., 144, (2010), 287-293.
    2) The Hausdorff dimension of graphs of prevalent continuous functions (with J. M. Fraser), Real Anal. Exchange (to appear), arXiv
    3) On the box dimensions of graphs of typical functions (with V. Laschos, L. Olsen, I. Petrykiewicz and A. Shaw.), submitted.
    4) On the growth of generating sets of direct powers of semigroups (with N. Loughlin, M. Quick, N. Ruskuc and A. Wallis.), submitted.
Teaching

2010-11 S1 MT1002 Mathematics2 tutorials and 2 microlabs per week
S2 MT1002 Mathematics2 tutorials and 2 microlabs per week
2011-12 S1 MT1002 Mathematics2 tutorials and 2 microlabs per week

 Other Interests
  • running
  • politics
  • two player board games

Contact Details
    Mathematical Institute,
    University of St. Andrews,
    North Haugh,
    St. Andrews,
    Fife,
    Scotland,
    KY16 9SS.

jth4@st-andrews.ac.uk In Preparation
Room 103
Phone: +44 (0)1334 463767

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