Contributions to the Theory of Near Vector Spaces (2008)

- K-T Howell and J.H. Meyer, “Finite-dimensional near-vector spaces over fields of prime order”, Communications in Algebra, 38:1(2010), 86 – 93.
- K-T Howell and C.J. Maxson, “Commutative Clifford Semigroups with Maximal Endomorphism Semirings”, Period. Math. Hungar. 63 (2011), 65-69.
- K-T Howell and C.J. Maxson, “(φ, ψ)-Mutations of Commutative Monoids with Maximal Endomorphism Semirings”, Quaestiones Mathematicae 36 (2013), 477-485.
- K-T Howell and C.J. Maxson, “Covers of Semigroups and Function Semirings”, Results in Mathematics 65 (2014), 429-439.
- K-T Howell and J.H. Meyer, “Near-vector spaces determined by finite fields”, Journal of Algebra 398 (2014), 55-62.
- K-T Howell, “On Subspaces and Mappings of Near-Vector Spaces”, Communications in Algebra 43:6 (2015), 2524-2540.
- T. Boykett and K-T Howell, “The Multiplicative Automorphisms of a Finite Nearfield, with an Application”, Communications in Algebra 44 (2016), 2336-2350.
- D.S. Chistyakov and K-T Howell, “On the theory of near-vector spaces”, Journal of Mathematical Sciences, accepted, to appear.
- K-T Howell and S.P. Sanon, “Linear mappings of near-vector spaces”, Quaestiones Mathematicae, accepted, to appear.
- D.S. Chistyakov and K-T Howell, “Affine Near-rings”, Mathematical Notes, accepted, to appear.
- S. Dorfling, K-T Howell and S.P. Sanon, “The decomposition of finite dimensional Near-vector spaces,” Communications in Algebra, accepted, to appear.
- G. Boxall, K-T Howell and C. Kestner, “Model theory and the construction of Near-vector spaces,” to be submitted.

**Research:**

*A Characterisation of all Near Vector Spaces over Z_p for p a prime*. The 20th annual Nearring Conference at the Johannes Kepler University in Linz, Austria, 2007 (with J.H. Meyer).*A Characterisation of all Near Vector Spaces over Z_p for p a prime*. Colloquium at the Mathematics Division, Stellenbosch University, 2008.*Maximal Endomorphism Semirings*. The 21st annual Nearring Conference in Styria, Austria, 2009 (with C.J. Maxson).*Essay Writing as a Tool to Enhance the Mathematics Learning Environment*, The Third Annual Conference on the Scholarship of Teaching and Learning, Stellenbosch University, May 2010.*Maximal Endomorphism Semirings – an Introduction*. (Mini) Conference in Abstract Algebra, Department of Mathematical Sciences, Stellenbosch University, March 2010.*Maximal Endomorphism Semirings.*Workshop in Abstract Mathematics, Department of Mathematical Sciences, Stellenbosch University, September 2010.*Maximal Endomorphism Semirings*. The 53rd annual SAMS Congress, Pretoria University, November 2010.- (φ, ψ)-mutations of Commutative Monoids. The joint SAMS & AMS Congress, Nelson Mandela Metropolitan University, November 2011.
*Subspaces of Near-Vector Spaces*. The 23rd annual Nearring Conference in Bloemfontein, South Africa, July 2013.*Near-vector spaces determined by Finite Fields*. Combinatorics 2016 in Maratea, Italy, June 2016.*Near-vector spaces determined by Finite Fields*. SAMS Congress, UWC, November 2016.*An introduction to Near-vector spaces*. Model Theory Conference, Stellenbosch University, January 2017.- An introduction to Near-vector spaces. WYMSIG Conference 2017 in Adelaide, Australia, September 2017.

**Teaching & learning:**

*Essay Writing as a Tool to Enhance the Mathematics Learning Environment*, The Third Annual Conference on the Scholarship of Teaching and Learning, Stellenbosch University, May 2010.*My journey in teaching Mathematics… (so far)*. The Natural Sciences Teaching Day, May 2013.- ICT use in teaching Mathematics to first-years. The Stellenbosch University Natural Sciences Teaching Event, May 2014.
*Mathematics as a journey*. The AIMS Imaginary Workshop, November 2014.*Mini-Projects in Mathematics 144*. Stellenbosch University SoTL Conference, November 2016.- Bridging the gap between school & university mathematics. AP Teachers Workshop at Bridgehouse, May 2017.
- Bridging the gap between school & university mathematics. Farewell dinner for the Cape Town International Maths teams, June 2017.

**ICT Analyst Comments (Frost & Sullivan)**

- ITWeb January 2008: Blackouts hit IT spend.
- ITWeb February 2008: Manuel gets ICT advice.

My unique Orcid Identifier is 0000-0002-7819-1260.

“The dictionary is the only place where success comes before work.”

Arthur Brisbane