Completed PhD Students
1.
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.
2.
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.
4.
Mark WEBER
Thesis title: Symmetric Operads for Globular Sets (Macquarie
University, May 2001).
5.
Elango PANCHADCHARAM
Thesis title: Categories of
Mackey Functors (Macquarie University,
10 April 2007; http://hdl.handle.net/1959.14/119).
6.
Craig PASTRO
Thesis title: Hopf algebras and related structures in a categorical
environment (Macquarie University, 10 June 2008).
7.
Dimitri CHIKHLADZE
Thesis title: Elements of enriched
and quantum category theory (Macquarie University, submitted 2 July 2010;
PhD awarded 28 September 2010).
Publications arising from the thesis:
1. Barr's Embedding theorem for enriched categories, Journal of Pure and Applied Algebra 215
(2011) 2148-2153.
2. Category of quantum categories, Theory
and Applications of Categories 25 (2011) 1-37.
3. (with S. Lack and R. Street) Hopf monoidal comonads,
Theory and Applications of Categories
24 (2010) 554-563.
4. The Tannaka representation theorem for
separable Frobenius functors,
Algebras and Representation Theory
(accepted on 22 February 2011).
8.
David OURY
Thesis title: Duality for Joyal's category $\Theta $ and homotopy
concepts for ${\Theta }_{2}$-sets (Macquarie
University, submitted 18 March 2011; PhD awarded 4 October 2011).
Publication arising from the thesis:
1. On the duality between trees and disks, Theory Appl. Categ. 24 (2010) 418-450.
9.
Thomas BOOKER
Thesis title: Structures in and
on monoidal categories with a view towards Tannaka duality (Macquarie University, submitted 15 December
2011; PhD awarded 3 April 2012).
Publication arising from the thesis:
Partially supervisor of: Tim
Brook PhD ANU 1974; Greg Bird PhD USyd
1984; Andrew Solomon PhD USyd
1997; Isar Stubbe PhD UCL (Belgium) 2004
Current PhD Students (Macquarie University)
(with Michael Batanin)
Camell Kachour.
Visiting Masters Students
Steve Bennoun (cole Polytechnique Fdrale de
Lausanne), Tannaka Duality for Comodules over a Hopf Algebra (October 2006 -- March 2007)
Jean-Baptiste
Boyer (cole Normale
Superieure de Cachan, antenne de Bretagne), Categories and Algebraic Topology (June 2010 -- July 2010)
Basile Pillet (cole Normale Superieure
de Cachan, antenne de
Bretagne), Tangle with categories: Presentation
and Report
(July 2011 --
August 2011)
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)
Mitchell Buckley, Lawvere
Theories (2008)
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)