**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).**

**17.
Charles R. WALKER**

** Thesis title: Structures in two dimensional
category theory and applications to polynomial functors (Principal
Supervisor Richard Garner; Macquarie University, PhD awarded March 2019).**

**18.
Yuki MAEHARA**

** Thesis title: The
Gray tensor product for 2-quasi-categories (Principal supervisor Dominic Verity ; Macquarie University, PhD awarded September 2020).**

**Partially supervisor of: ****Tim
Brook**** PhD ANU 1974; ****Greg
Bird**** PhD USyd 1984; ****Andrew
Solomon**** PhD USyd 1997. Geoffrey Lewis PhD
UNSW 1974 was a student of Max Kelly **

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

**Hardy Hulley ****(Principal supervisor Richard Garner)****;**

**Eli Hazel ****(Principal supervisor Richard Garner);**

**Ruben Zilibowitz ****(MResYear2; Associate 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)**