**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**** **

** Thesis
title: Categorical structures enriched in
a quantaloid: categories and semicategories
(Principal Supervisor Francis Borceux, Universit\'e Catholique de
Louvain, Belgium, 2003).**

** 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.
Mitchell A. BUCKLEY **

** Thesis
title: Three studies in higher category
theory: fibrations, skew monoidal
structures and excision of extremals (Main
Supervisors Dominic Verity and Richard Garner; Macquarie University, PhD
awarded 2015).**

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

**14.
Ram\'on ABUD ALCAL\'A **

** Thesis
title: Oplax actions and enriched icons with
applications to coalgebroids and quantum categories
(Principal Supervisor Stephen Lack; Macquarie University, PhD awarded ~November
2017).**

**15.
Christopher NGUYEN **

** Thesis
title: Parity structure on associahedra and other polytopes (Principal
Supervisor Stephen Lack; Macquarie University, PhD awarded March 2018).**

**16.
Branko NIKOLI\'C **

** Thesis
title: Morphisms of 2-dimensional structures with
applications (Macquarie University, PhD awarded May 2018).**

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

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

**Hardy Hulley;**

**Yuki Maehara ****(Principal supervisor Dominic Verity)****;**

**Charles M. Walker ****(Principal
supervisor Richard Garner).**

**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)**