Publications

  1. & Higher conjugation cohomology in commutative Hopf algebras. Proceedings of the Edinburgh Mathematical Society 44(01), 19 doi:10.1017/S0013091599000826
  2. & Bases for Cooperations in K-Theory. K-Theory 23(3), 237-250. doi:10.1023/A:1011820819598
  3. & Algebras of operations in K-Theory. Topology 44(1), 151-174. doi:10.1016/j.top.2004.05.003
  4. & The discrete module category for the ring of K-theory operations. Topology 46(2), 139-154. doi:10.1016/j.top.2007.01.001
  5. & Conjugation invariants in the Leibniz–Hopf algebra. Journal of Pure and Applied Algebra 217(12), 2247-2254. doi:10.1016/j.jpaa.2013.03.003

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Teaching

  • MA-312 Higher Algebra

    This course approaches the theory of groups, rings and modules as abstract algebraic objects. The course also introduces categories as a language and unifying force in modern mathematics.

  • MA-325 Applied Algebra: Coding Theory

    This module is an introduction to modern algebraic coding theory.

  • MA-M25 Applied Algebra: Coding Theory

    This module is an introduction to modern algebraic coding theory.

Supervision

  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Dr Jeffrey Giansiracusa
  • ''Conjugation Invariants in Word Hopf Algebras'' (awarded 2013)

    Student name:
    PhD
    Other supervisor: Professor Tomasz Brzezinski
  • '' Annihilated Elements in the Homology of Powers of Infinite Complex Projective space'' (awarded 2013)

    Student name:
    PhD
    Other supervisor: Dr Grigory Garkusha
  • Hopf Algebras and Noncommutative Differential Structures (awarded 2011)

    Student name:
    PhD
    Other supervisor: Dr Edwin Beggs
  • Classification of non-commutative manifolds and bundles (awarded 2006)

    Student name:
    PhD
    Other supervisor: Professor Tomasz Brzezinski