UC Research Profile - University of Canterbury

Dr Maarten Nicola McKubre-Jordens

Contact

Department: Mathematics and Statistics

Email: maarten.jordens@canterbury.ac.nz

Office:

Languages: English, Dutch

About

Research / Creative works

Networks

Projects

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

Philosophy: Philosophy
Mathematics: Applied Mathematics ; Computable Mathematics ; Constructive Mathematics ; Foundations of Mathematics ; Pure Mathematics

Prizes and Awards

Early Career Teaching Award ( 2014 )

Research/Scholarly/Creative Works

Journal Articles

Bridges D., Dent J. and McKubre-Jordens M. (2014) Constructive connections between anti-Specker, positivity, and fan-theoretic properties. New Zealand Journal of Mathematics 44: 21-33.

Bridges DS. and McKubre-Jordens M. (2013) Solving the Dirichlet problem constructively. Journal of Logic and Analysis 5(3): 1-22. http://dx.doi.org/10.4115/jla.2013.5.3.

Bridges DS., Dent D. and McKubre-Jordens M. (2013) Two direct proofs that LLPO implies the detachable fan theorem. Logic Journal of the IGPL 21(5): 830-835. http://dx.doi.org/10.1093/jigpal/jzt003.

Bridges DS., Ishihara H. and McKubre-Jordens M. (2013) Uniformly convex Banach spaces are reflexive - constructively. Mathematical Logic Quarterly 59(4-5): 352-356. http://dx.doi.org/10.1002/malq.201200093.

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.

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.

McKubre-Jordens M. and Weber Z. (2012) Real analysis in paraconsistent logic. Journal of Philosophical Logic 41(5): 901-922. http://dx.doi.org/10.1007/s10992-011-9210-6.

Chapters

McKubre-Jordens M. (2014) This is not a carrot: Paraconsistent mathematics. In Parc S (Ed.), 50 Visions of Mathematics: 114-117. Oxford: Oxford University Press.

Martin GJ., Hussan J. and McKubre-Jordens M. (2013) New Approaches to Modeling Elastic Media. In Mastai Y (Ed.), Materials Science - Advanced Topics: 465-485. New York: InTech. http://dx.doi.org/10.5772/54771.

McKubre-Jordens M. (2012) Constructive mathematics. In Dowden B; Fiesen J (Ed.), The Internet Encyclopedia of Philosophy WordPress: ISSN 2161-0002.

Additional Publications

McKubre-Jordens M., Brogt E. and Horton A. (2017) Mathematical maturity: How can it inform teaching and learning of mathematics? Atlanta, GA, USA: Joint Mathematics Meeting, 4-7 Jan 2017.

McKubre-Jordens M. (2014) Analysis of Three Different Flavours. Bundeswehr Universitaet, Muenchen, Germany: Theoretical Computer Science and Mathematical Logic Seminar.

McKubre-Jordens M. (2014) Analysis of Three Different Flavours. Ludwig Maximilian Universitaet, Muenchen, Germany: Oberseminar Mathematische Logik.

McKubre-Jordens M. (2014) Analysis of Three Different Flavours. Universita degli Studi di Padova, Padova, Italy: Seminario.

McKubre-Jordens M. (2014) A Fresh Look at the Continuum. Kolkata, India: Fifth World Congress on Paraconsistency, 13-17 Feb 2014.

McKubre-Jordens M. (2014) Doing Mathematics Paraconsistently: A Manifesto. Muenchen, Germany: Paraconsistent Reasoning in Science and Mathematics, 11-13 Jun 2014.

McKubre-Jordens M. (2014) Feng Ye (2011) Strict Finitism and the Logic of Mathematical Applications. Springer Science. 272pp. Philosophy in Review 34(5): 278-281. [Book Review].

McKubre-Jordens M. (2013) Solving Dirichlet's Problem Constructively. Stanford University, Stanford, CA, USA: Logic and Foundations of Mathematics Seminar.

McKubre-Jordens M. (2013) Constructive Lessons for Paraconsistency. Falerna, Italy: Numerical Computations: Theory and Algorithms, 17-23 Jun 2013.

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.

McKubre-Jordens M. (2013) On the Development of Non-Classical Mathematics. NiÅ¡, Serbia: Constructive Mathematics: Foundations and Practice, 24-28 Jun 2013.

McKubre-Jordens M. (2012) Constructive methods in mathematics. Westport, New Zealand: Construmath South 2012, 26-28 Jan 2012.

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, 4-4 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 MN. (2012) Constructing weak solutions of the Dirichlet problem. Wellington, New Zealand: Twelfth Asian Logic Conference (ALC2012), 15-20 Dec 2011.

McKubre-Jordens M. (2011) A proof technique reminiscent of Brouwer's bar induction. University of Melbourne, Melbourne, Australia.

McKubre-Jordens M. (2011) What constructive mathematicians actually do. University of Melbourne, Melbourne, Australia.

McKubre-Jordens M. (2011) Constructibility of Solutions to the Dirichlet Problem. Wellington, New Zealand: Twelfth Asian Logic Conference (ACL2011), 15-20 Dec 2011.

McKubre-Jordens M. (2011) This is not a carrot: Paraconsistent mathematics. + plus magazine 24 Aug 2011 [Online Article].

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) Infinity in Computable Probability: Logical Proof that William Shakespeare Probably Was Not a Dactylographic Monkey. University of Canterbury, Christchurch, New Zealand: Departmental Seminar Series.

McKubre-Jordens M. (2010) Minimising Weighted Mean Distortion. Albany, Auckland, New Zealand. Massey University.

McKubre-Jordens M. (2010) Real analysis in paraconsistent logic. Dunedin, New Zealand: New Zealand Mathematical Society Colloquium, 7-9 Dec 2010.

Jordens M. (2009) Deformations of Minimal Mean Distortion. Foxton Beach, New Zealand: New Zealand Mathematics & Statistics Postgraduate Conference (NZMASP09), 23-26 Nov 2009.

McKubre-Jordens M. (2009) Digging Deeper: What do the LHC, a giant rat, and the HST have in common? Auckland, New Zealand: Institute of Information and Mathematical Sciences Postgraduate Conference 2009 (IIMS), 21-21 Oct 2009.

McKubre-Jordens M. (2009) Minimising Mean Distortion. Auckland, New Zealand: Institute of Information and Mathematical Sciences Postgraduate Conference 2009 (IIMS), 21-21 Oct 2009.

McKubre-Jordens M. (2008) Critical Phenomena: Minimal Weighted Mean Distortion. Auckland, New Zealand: Institute of Information and Mathematical Sciences Postgraduate Conference (IIMS), 23-23 Oct 2008.

McKubre-Jordens M. (2008) Critical Phenomena: Minimal Weighted Mean Distortion. Whitianga, New Zealand: New Zealand Mathematics and Statistics Postgraduate Conference 2008 (NZMASP 2008), 18-21 Nov 2008.

Jordens M. (2007) Minimising L^p Distortion - An Alternative Approach. Auckland, New Zealand: Institute of Information and Mathematical Sciences Postgraduate Conference (IIMS), 24-24 Oct 2007.

Jordens M. (2007) Minimising L^p Distortion for Mappings Between Annuli. Albany, Auckland, New Zealand. Massey University.

McKubre-Jordens M. (2007) Minimising L^p Distortion - An Alternative Approach. Queenstown, New Zealand: New Zealand Mathematics and Statistics Postgraduate Conference (NZMASP), 22-23 Nov 2007.

Jordens M. (2006) Minimisers of radial distortion functionals. Auckland, New Zealand: Institute of Information and Mathematical Sciences Postgraduate Conference (IIMS), 25-25 Oct 2006.

McKubre-Jordens M. (2006) Minimisers of Radial Distortion Functionals. Queenstown, New Zealand: South Island Mathematics and Statistics Postgraduate Conference (SIMaSP), 22-23 Nov 2006.

Editorial Work

Displaying all items.

Editor of Conference proceedings - Construmath South 2012 Editor ( 2012 )

Review and Refereeing