James Hyde

 

I am a 26 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 Collin Bleak. I am in my fourth 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
  • Thompsons groups
  • Universal sequences
  • Fractal geometry
Publications
    1) Iterated Cesàro averages, frequencies of digits, and Baire category (with V. Laschos, L. Olsen, I. Petrykiewicz and A. Shaw),
            - Acta Arith., Volume 144, Page 287-293 (2010).
    2) On the box dimensions of graphs of typical functions (with V. Laschos, L. Olsen, I. Petrykiewicz and A. Shaw),
            - J. Math. Anal. App., Volume 391, Issue 2, Page 567-581 (2012).
    3) On the growth of generating sets of direct powers of semigroups (with N. Loughlin, M. Quick, N. Ruskuc and A. Wallis),
            - Semigroup Forum, Volume 84, no. 1, Page 116-130, (2012).
    4) The Hausdorff dimension of graphs of prevalent continuous functions (with J. M. Fraser),
            - Real Anal. Exchange, Volume 37, Page 333-352, (2011/2012).
    5) Dimension and measure for generic continuous images (with R. Balka, A. Farkas and J. M. Fraser),
            - Ann. Acad. Sci. Fenn. Math., Volume 38, page 389-404, (2012).
    6) A note on the 1-prevalence of continuous images with full Hausdorff dimension (submitted) (with J. Fraser),
            - arXiv:1203.0548
Teaching

 

2010-11 S1 MT1002 Mathematics 2 tutorials and 2 microlabs per week
  S2 MT1002 Mathematics 2 tutorials and 2 microlabs per week
2011-12 S1 MT1002 Mathematics 2 tutorials and 2 microlabs per week
  S2 MT1002 Mathematics 2 tutorials and 2 microlabs per week
2012-13 S1 MT1002 Mathematics 2 tutorials and 2 microlabs per week
  S2 MT1002 Mathematics 2 tutorials and 2 microlabs per week
2013-14 S1 MT1002 Mathematics 2 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
Room 103
Phone: +44 (0)1334 463767

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