**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.**** ****Isar**** STUBBE**** (principal supervisor Francis Borceux)**

**Thesis title: Categorical
structures enriched in a quantaloid: categories and semicategories (UniversitŽ Catholique de Louvain, Belgium, 2003).**

** **

**6.
Elango PANCHADCHARAM**

**Thesis title: Categories of
Mackey Functors (Macquarie University,
10 April 2007; http://hdl.handle.net/1959.14/119).**

**7.
Craig PASTRO**

**Thesis title: Hopf algebras and related structures in a categorical
environment (Macquarie University, 10 June 2008).**

**8.
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).**

**9.
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:**

**On the duality between trees and disks,***Theory Appl. Categ.*24 (2010) 418-450.

**10.
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:**

**Torsors****, herds and flocks (with R. Street),***Journal of Algebra*330 (2011) 346-374**Commutative algebras in Fibonacci categories (with A. Davydov),***Journal of Algebra*355 (2012) 176-204

**11.
Camell KACHOUR**

**Thesis title: Aspects of Globular
Higher Category Theory (Principal Supervisor Michael Batanin;
Macquarie University, PhD awarded 5 November 2013).**

**12.
Alexander CAMPBELL**

**Thesis title: A higher
categorical approach to Giraud's non-abelian cohomology (Macquarie University, PhD awarded 6 October
2016).**

**Partially supervisor of: ****Tim
Brook**** PhD ANU 1974; ****Greg Bird**** PhD USyd
1984; ****Andrew Solomon**** PhD USyd
1997; ****Mitchell Buckley**** PhD Macquarie 2015.**

**Current**** ****Higher Degree Students (Macquarie University)**

**(with Stephen Lack)**** Ramon Abud Alcala;**

**(with Stephen Lack)** **Jim Andrianopoulos;**** **

**Hardy Hulley;**

**(with Stephen Lack)**** ****Christopher Nguyen****;**

**Branko**** Nikolic;**

**James Dolan;**

**(with Dominic
Verity) ****Yuki Maehara.**

**Visiting Masters Students**

**Steve Bennoun** (\'Ecole Polytechnique F\`ed\'erale de Lausanne), *Tannaka** Duality for Comodules
over a Hopf Algebra ***(October 2006 -- March 2007)**

**Jean-Baptiste
Boyer** (\'Ecole Normale Superieure de Cachan, antenne de Bretagne), *Categories
and Algebraic Topology***(June 2010 -- July 2010)**

**Basile**** Pillet** (\'Ecole 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)**