Completed PhD Students
Mei Chee SHUM
Thesis title: Tortile Tensor Categories
(Macquarie University, November 1989); published in full in Journal of Pure
and Applied Algebra 93 (1994) 57-110.
Scott R. JOHNSON died 8 December 1988; posthumous PhD
1994;
Thesis title: Cauchy Completion in Enriched Categories
(Australian National University, 1993).
Publications forming the thesis:
1. Monoidal Morita equivalence, Journal of Pure &
Appl. Algebra 59 (1989) 169-177;
2. Small Cauchy completions, Journal of Pure & Appl.
Algebra 62 (1989) 35-45;
3. Modulated bicategories (with A. Carboni, R. Street and
D. Verity), Journal of Pure & Appl. Algebra 94 (1994)
229-282.
Thesis title: Categories of Representations of Balanced
Coalgebroids (Macquarie University, 22 February 1999) ; awarded a Letter
of Commendation from the Dean of Graduate Students.
Publications arising from the thesis:
1. Balanced coalgebroids, Theory and Appl. of
Categories 7 (2000) 71-147;
2. Categories of Representations of Coalgebroids, Advances
in Math. 154 (2000) 299-332;
3. Tannaka duality for Maschkean Categories, Proceedings
of the Category Theory Conference in Coimbra (July 1999), J. Pure. Appl.
Algebra 168 (2002) 265-367.
Thesis title: Symmetric Operads for Globular Sets
(Macquarie University, May 2001).
Elango PANCHADCHARAM
Thesis title: Categories
of Mackey Functors (Macquarie University, 10 April 2007; http://hdl.handle.net/1959.14/119).
Craig PASTRO
Thesis title: Hopf algebras and related structures in a
categorical environment (Macquarie University, 10 June 2008).
Partially supervisor of: Tim Brook PhD ANU
1974; Greg Bird PhD USyd 1984; Andrew Solomon PhD USyd
1997.
Current PhD Students (Macquarie
University)
Daniel Steffen, Dimitri Chikhladze,
David Oury, Thomas Booker
Visiting Masters Student
Steve Bennoun (cole Polytechnique Fdrale de
Lausanne), Tannaka Duality for Comodules over a Hopf Algebra (October
2006 -- March 2007)
Honours Students
Frank Sharpe, Sheaves as Generalized Sets (1973)
Colin Hill, Sets with Operations from a Categorical
Point of View (1974)
Mark Weber, A Mathematical Analogy (1996)
Amy Young, Traced Monoidal Categories (June
1998)
Dilshara Abayasekara, Species of Structure (1999)
Simon Byrne, Groupoids
and Stuff Types (2005)
Thomas Booker, Non-Standard Numbers as Global Sections
of a Dedekind Reals Object (2007)
Vacation Scholars
1994: Heidi Manning (Knot theory)
1995: Paddy McCrudden (Quantum groups) and Stephen
Warburton (Links formed in fencing wire)
1996: Stuart Lawrence (String diagrams in linear algebra)
1997: Daniel O'Neil and Paul Batten (Representations of
the finite general linear groups)
2001: Ryan Crompton and Thi Minh Tam Pham (The
Taylor expansions of tanx and secx; also see http://www.maths.mq.edu.au/~street/Boustroph.pdf
)
2002: Ben Odgers and Hanh Nguyen Vo (Efficient development
of number systems and trigonometry)
2004: James Douglas and Rony Kirollos (Number systems, TeX
and categories)
2005: Simon Byrne (Quantum groups)
2006: Mitchell Buckley (String diagrams in algebra)