**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 approved 16 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)**