Dr. Martin Crossley

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-211 Vector Spaces

    This module covers the abstract theory of vector spaces and inner product spaces together with the theory of linear transformations.

  • MA-212 Groups and Rings

    This course approaches the theory of groups and rings as abstract algebraic objects.

  • MAW211 Gofodau Fector

    Mae'r modiwl hwn yn ystyried theori haniaethol o ofodau fector a gofodau lluosymiau mewnol ynghyd a'r theori o drawsffurfiadu llinol.

  • MAW212 Grwpiau a Chylchoedd

    Mae'r cwrs hwn yn ystyried theori grwpiau a chylchoedd fel gwrthrychau algebraidd haniaethol.

Supervision

  • '' Annihilated Elements in the Homology of Powers of Infinite Complex Projective space'' (awarded 2013)

    Student name:
    PhD
    Other supervisor: Dr. Grigory Garkusha
  • ''Conjugation Invariants in Word Hopf Algebras'' (awarded 2013)

    Student name:
    PhD
    Other supervisor: Professor Tomasz Brzezinski
  • 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