UC Spark

Dr Maarten Nicolaas McKubre-Jordens

Mathematics and Statistics

Fields of Research

  • Non-classical mathematics & analysis; extremal problems.
  • Logic, proof theory, computability.
  • Interdisciplinary mathematics.

Researcher Summary

Mathematics is an inherently human activity, perhaps the most human activity possible. Our reasoning underpins it, our experiences inform it, our creativity causes it to flourish and our direction as a species - both social and technological - guides it. I mean, of course, mathematics in the broad sense: an appreciation for and study of number, pattern, emerging and inherent behaviour of regularities and irregularities in and about our world.

I find myself in the unique position of having expertise and experience in mathematics as approached from several directions: classical, constructive, and paraconsistent. Being able to understand and converse with a wide variety of mathematicians, computer scientists, philosophers and other scientists enables me to marry results from various branches in unexpected ways.

Subject Area: Disciplines

Affiliations

Research Service

  • Organizer & proceedings editor of ConstruMath South 2012 (2012)
  • Contributed community article 'paraconsistent mathematics'; +Plus online magazine. (2011)
  • Co-supervisor to Ph.D. student (2011-present)
  • Supervisor to Summer Project (MATH395) (2011-2012)
  • Co-organizer of the NZMASP conference, Whitianga, 18-21 Nov. (2008)
  • Co-organizer of the IIMS PG Conference (chair & proceedings editor in 2009). (2007-2009)

Publications


Journal Article
  • Dunn, J., Rong, J., McKubre-Jordens, M., Henderson, B., Goudey, R. and Anderssen, R. (2013) Setting water quality objectives for the health of freshwater fish. ANZIAM Journal 53: M62-M103. http://dx.doi.org/10.0000/anziamj.v53i0.5583.
  • Bridges, D.S., Dent, D. and McKubre-Jordens, M. (2013) Two direct proofs that LLPO implies the detachable fan theorem. Logic Journal of the IGPL (early access online) http://dx.doi.org/10.1093/jigpal/jzt003.
  • Martin, G. and McKubre-Jordens, M. (2012) Deformations with smallest weighted L^p average distortion and Nitsche-type phenomena. Journal of the London Mathematical Society 85(2): 282-300. http://dx.doi.org/10.1112/jlms/jdr042.
Thesis - Doctor of Philosophy Thesis - Master of Science
  • Jordens, M. (2007) Minimising L^p Distortion for Mappings Between Annuli. MSc, Massey University, Albany, Auckland, New Zealand.
Oral Presentation
  • McKubre-Jordens, M. (2011) A proof technique reminiscent of Brouwer's bar induction. University of Melbourne, Melbourne, Australia: 28 Oct 2011.
  • McKubre-Jordens, M. (2011) What constructive mathematicians actually do. University of Melbourne, Melbourne, Australia: Constructive Mathematics: Three-part Seminar, 14-18 Feb 2011.
  • McKubre-Jordens, M. (2010) Infinity in Computable Probability: Logical Proof that William Shakespeare Probably Was Not a Dactylographic Monkey. University of Canterbury, Christchurch, New Zealand: Departmental Seminar Series, 19 Aug 2010.
Conference Contribution - Oral presentation
  • McKubre-Jordens, M. (2012) On spicy Indian foods, land-dwelling reptiles of the order Testudines, and good thinking. Dunedin, New Zealand: Workshop on Curry's Paradox and Paraconsistency, 4 Aug 2012.
  • McKubre-Jordens, M. and Bridges, D. (2012) Solving Dirichlet's problem constructively. Cambridge, UK: Computability in Europe Turing Centenary Conference (CiE 2012), 18-23 Jun 2012.
  • McKubre-Jordens, M. (2011) Constructibility of Solutions to the Dirichlet Problem. Wellington, New Zealand: Twelfth Asian Logic Conference (ACL2011), 15-20 Dec 2011.
  • Weber, Z. and McKubre-Jordens, M. (2011) Inconsistent Continua. Wellington, New Zealand: Australasian Association for Logic Meeting (AAL), 14-16 Dec 2011.
  • McKubre-Jordens, M. (2010) Real analysis in paraconsistent logic. Dunedin, New Zealand: New Zealand Mathematical Society Colloquium, 7-9 Dec 2010.
Other Additional Publications
  • McKubre-Jordens, M. (2013) Constructive Lessons for Paraconsistency. Rio de Janeiro, Brazil: 4th World Congress and School on Universal Logic, 29 Mar-7 Apr 2013. 145.
  • McKubre-Jordens, M.N. (2012) Constructing weak solutions of the Dirichlet problem. Wellington, New Zealand: Twelfth Asian Logic Conference (ALC2012), 15-20 Dec 2011. In The Bulletin of Symbolic Logic 18
  • McKubre-Jordens, M. (2012) Constructive mathematics. In B. Dowden and J. Fiesen (Ed.), The Internet Encyclopedia of Philosophy: Online. WordPress: ISSN 2161-0002. http://www.iep.utm.edu/con-math/.