## UNSW and beyond

### Courses Taught at UNSW

**First Year:**Calculus, Linear Algebra, Discrete Mathematics

**Second Year:**Linear Algebra, Complex Analysis, Engineering Mathematics, Calculus of Several Variables

**Third Year:**Differential Geometry, Algebraic Topology, Groups and Transformations, History of Mathematics, Geometry, Logic and Computability, Number Theory, Information and Coding Theory

**Fourth Year:**Lie Groups, Noncommutative Harmonic Analysis, Higher Surfaces, Themes in Classical Mathematics, Advanced Combinatorics, Algebraic Number Theory, Representation theory

### Student Supervision (Current)

2015 PhD Gennady Notowidigdo Universal trigonometry for a tetrahedron

2014 Masters Kevin Limanta Harmonic polynomials and representations of SL(2)

2014 Masters Kevin Limanta Harmonic polynomials and representations of SL(2)

### Student Supervision (Completed)

2015 (PhD)

2014 (PhD)

1998 (PhD)

2011 (Masters)

2011 (Masters)

projective trigonometry

2010 (Masters)

2009 (Masters)

2007 (Masters)

2004 (Masters)

2016 (Honours)

2014 (Honours)

2010 (Honours)

2005 (Honours)

2002 (Honours)

2001 (Honours)

1999 (Honours)

1998 (Honours)

1997 (Honours)

2000 (Vacation Scholar)

1997 (Vacation Scholar)

1997 (Vacation Scholar)

**Nguyen Le**Four-fold Symmetry in Universal Triangle Geometry2014 (PhD)

**Ali Alkhaldi**The parabola in Universal Hyperbolic Geometry1998 (PhD)

**Bassam Mourrad**Generalized Doubly-Stochastic Matrices2011 (Masters)

**Sawsan Al-Howaity**Kepler- Newton orbits using rotor coordinates2011 (Masters)

**Mohammad Almanjumi**Zome system in rational trigonometry and rationalprojective trigonometry

2010 (Masters)

**Abdulaziz Alanazi**The Pell Equation and spread polynomials2009 (Masters)

**Timothy Leslie**Planar Universal Geometry2007 (Masters)

**Jack Hall**Some Branching Rules for GL(n)2004 (Masters)

**Michael Geis**The mutation game and its consequences: a combinatorial construction of the spin representation of Bn2016 (Honours)

**Sebastian Blefari**Quadrangle centroids in universal hyperbolic geometry2014 (Honours)

**Roberto Riedig**Simple Lie algebras, Dynkin diagrams and fun games on graphs2010 (Honours)

**Simon Sillitoe**Hypergroups and Graphs associated to finite Hyperbolic Planes2005 (Honours)

**Shuxiang Goh**Chebyshev polynomials and Spread Polynomials2002 (Honours)

**Fiona Graves**Hypergroups and their application to Random Walks2001 (Honours)

**Charles Mitchell**Weyl’s Character Formula and the Haar Measure on U(n)1999 (Honours)

**Luke Collison**Root Systems, Kac-Moody Algebra and Partial Orders1998 (Honours)

**Jeremy Henson**Constellations and their applications1997 (Honours)

**Ben Hutchinson**Root-tableaux and reduced decompositions in Weyl groups2000 (Vacation Scholar)

**Thomas Lam**A simple combinatorial proof of Feit’s formula for the number of Skew Tableaux of a given shape1997 (Vacation Scholar)

**Michael Nealon**Root Systems, Coxeter graphs and some nteresting properties1997 (Vacation Scholar)

**Ben Hutchinson**A bijection between balanced sequences of roots and reduced expressions for the longest word in the D_n Weyl groups### Extra Teaching Activities

2016 Development (with Daniel Mansfield) of openlearning course

2016 Development and Implementation (with Daniel Mansfield and Joshua Capel) of Online Tutorials for MATH1131 and MATH1231 (UNSW)

2016 Development and Implementation (with Daniel Mansfield) of UNSW Future Learn MOOCs

2015 Development and Implementation (with Daniel Mansfield) of Online Tutorials for MATH1141 and MATH1241 (UNSW)

2015 Development and Implementation (with Daniel Mansfield) of UNSW

Future Learn MOOCs

(October) with 9000 participants

2015 Development and Implementation (with Daniel Mansfield) of School of Mathematics and Statistics PD Courses for High School Teachers:

2014 Set-up (with Chris Tisdell) the Merlin Studio for video production in the School of Mathematics and Statistics

2012 Chaired UNSW

2010-1012 Major contribution to

2008 Mentor to A/Prof Chris Tisdell setting up his YouTube channel

2007 First UNSW academic with an academic YouTube channel:

2005 Member of a Working Group to coordinate with the School of Engineering on proposed changes to Engineering Mathematics courses

2004 Convened a Working Group to create a School report on Computing for Client Groups (with Rob Womersley and David Nott)

2004 Member of a Working Group to redraft School Assessment Policies

1998 Designed and coordinated installation of signage in the School of Mathematics, Red Centre

*LANTITE Numeracy**Training for Teachers*for School for Education (UNSW)2016 Development and Implementation (with Daniel Mansfield and Joshua Capel) of Online Tutorials for MATH1131 and MATH1231 (UNSW)

2016 Development and Implementation (with Daniel Mansfield) of UNSW Future Learn MOOCs

*Maths for Humans: Linear and Quadratic Relations*(June) and*Maths for Humans: Inverse Relations and Power Laws*2015 Development and Implementation (with Daniel Mansfield) of Online Tutorials for MATH1141 and MATH1241 (UNSW)

2015 Development and Implementation (with Daniel Mansfield) of UNSW

Future Learn MOOCs

*Maths for Humans: Linear, Quadratic and Inverse Relations*(October) with 9000 participants

2015 Development and Implementation (with Daniel Mansfield) of School of Mathematics and Statistics PD Courses for High School Teachers:

*Archimedes and the Law of the Lever*,*Curves from Apollonius to Bezier*,*Population Growth and the Logistic Curve*, and (with Peter Brown)*Numbers, Primes and RSA Encryption*.2014 Set-up (with Chris Tisdell) the Merlin Studio for video production in the School of Mathematics and Statistics

2012 Chaired UNSW

*Response to the Draft Senior Mathematics Curriculum (ACARA)*which was supported by 5 Go8 Mathematics Schools2010-1012 Major contribution to

*UNSWelearning*YouTube channel, with 5 playlists2008 Mentor to A/Prof Chris Tisdell setting up his YouTube channel

2007 First UNSW academic with an academic YouTube channel:

*Insights into Mathematics*2005 Member of a Working Group to coordinate with the School of Engineering on proposed changes to Engineering Mathematics courses

2004 Convened a Working Group to create a School report on Computing for Client Groups (with Rob Womersley and David Nott)

2004 Member of a Working Group to redraft School Assessment Policies

1998 Designed and coordinated installation of signage in the School of Mathematics, Red Centre