Thomas Britz

Senior Lecturer

I am part of the Combinatorics Research Group at the School of Mathematics and Statistics here at UNSW Sydney.
See below for more details, and see my CV for comprehensive details, as well as my publications linked to on the right on this page.

If you are interested in graph theory, combinatorics or discrete mathematics, then feel free to email me or drop by and have a chat with me about prospective research and/or thesis topics!

 

PROFESSIONAL AFFILIATIONS AND SERVICE POSITIONS


Editor of Parabola (November 2015 –)
Managing Editor for the Australasian Journal of Combinatorics (August 2011 – )
Area Editor for the Journal of Algebra, Combinatorics, Discrete Structures and its Applications (April 2014 –)
Referee for 50 journals and 2 conference proceedings (roughly 150 reports)
Reviewer for Mathematical Reviews and Zentralblatt MATH (roughly 200 reviews)
Grant proposal assessor for ARC DP, NISDRG, FRP, Vidi (28 reports)
PhD Opponent (1 PhD defense)

Academic Mentor, UNSW (2019 – )
First Responder, UNSW (July 2018 – )
Academic Advisor, MATH, UNSW (August 2010 – )

Member of UNSW Data Science Hub (uDASH), UNSW (August 2021 –)
Member of the Sustainability Committee, MATH, UNSW (February 2020 –)
Member of the Education Excellence Committee, Science Faculty, UNSW (March 2018 – ) 
Co-organiser of the 42th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, UNSW, December 2019 (March 2018 – December 2019)
School liaison for the UNSW MathSoc, MATH, UNSW (Jan 2012 – 2018)
Chair of the Publicity Committee, MATH, UNSW (July 2014 – September 2018)
Lecturer's Representative for the School Standing Committee, UNSW (June 2011 – 2018)
Manager of Web and Social Media, MATH, UNSW (November 2017 – August 2018)
Member of the Computing Committee, MATH, UNSW (February 2018 – August 2018)
Member of the Research Committee, MATH, UNSW (October 2015 – July 2017)
Pure Representative on the Postgraduate Committee, MATH, UNSW (September 2013 – September 2017)
Chair of the School Standing Committee, MATH, UNSW (February 2014 – April 2015)
Member of the Policy and Resources Committee, MATH, UNSW (February – December 2014)
Organiser of Pure Departmental Seminar, School of Mathematics \&\ Statistics, UNSW (Aug 2010 – Jan 2013)
Co-organiser of the Joint Colloquium, School of Mathematics and Statistics, UNSW (Aug 2010 – Jan 2013)
Co-organiser of the 36th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, UNSW, December 2012 (March 2011 – December 2012)

Member of the Australian Mathematical Society (August 2018 – )
Life member of the Combinatorial Mathematics Society of Australasia (CMSA)

I also enjoy a range of outreach activities, to promote mathematical thinking, learning and enjoyment.

Software / Code
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Britz T; Bright D; Snoyman R, 2019, Criminal Networks, Published: 2019, Software / Code, https://rsnoyman.shinyapps.io/criminal_networks/
2019
Britz T; Britz D; Sørensen HK, 2007, Fast Tutte polynomial calculator, Maple, C++, Fortran, Published: 22 August 2007, Software / Code, http://www.thomasbritz.dk/notes/TuttePol-02a01.zip
2007
Recorded / Rendered Creative Works
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Britz T, 2019, The Emotions of Mathematics, TEDx Talks, YouTube, Editor(s): TEDxUNSW , Published: 12 April 2019, Duration: 00:14:31, Recorded / Rendered Creative Works, https://youtu.be/Pp63Ot_l6Yk
2019
Theses / Dissertations
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Britz T, 2003, Matroids, Codes and Relations, University of Aarhus
2003
Britz T, 2003, Matroids, Codes and Relations, University of Aarhus
2003
Book Chapters
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Britz T; Mainetti M; Pezzoli L, 2001, 'Some operations on the family of equivalence relations', in Crapo H; Senato D (ed.), Algebraic Combinatorics and Computer Science. A Tribute To Gian-Carlo Rota, edn. Original, Springer-Verlag Italia, Milan, pp. 445 - 460
2001
Conference Papers
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Chan TH; Grant A; Britz T, 2010, 'Properties of quasi-uniform codes', in 2010 IEEE International Symposium on Information Theory Proceedings, Austin, Texas, pp. 1153 - 1157, presented at 2010 IEEE International Symposium on Information Theory, Austin, Texas, 13 June 2010 - 18 June 2010, http://dx.doi.org/10.1109/ISIT.2010.5513674
2010
Journal articles
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Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2021, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, vol. 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70
2021
Britz T; Cavenagh NJ; Mammoliti A; Wanless IM, 2020, 'Mutually orthogonal binary frequency squares', Electronic Journal of Combinatorics, vol. 27, pp. 1 - 26, http://dx.doi.org/10.37236/9373
2020
Britz T, 2020, 'Fibonacci numbers: Brief history and counting problems', Parabola, vol. 56, https://www.parabola.unsw.edu.au/2020-2029/volume-56-2020/issue-1/article/fibonacci-numbers-brief-history-and-counting-problems
2020
Britz T; Co-author I, 2020, 'How to write a Parabola article', Parabola, vol. 56, https://www.parabola.unsw.edu.au/2020-2029/volume-56-2020/issue-2/article/how-write-parabola-article
2020
Britz T; Mammoliti A; Shiromoto K, 2020, 'Wei-type duality theorems for rank metric codes', Designs, Codes, and Cryptography, vol. 88, pp. 1503 - 1519, http://dx.doi.org/10.1007/s10623-019-00688-9
2020
Mammoliti A; Britz T, 2018, 'On mubayi's conjecture and conditionally intersecting sets', SIAM Journal on Discrete Mathematics, vol. 32, pp. 2361 - 2380, http://dx.doi.org/10.1137/18M1166250
2018
Britz T, 2018, 'On the betweenness centrality of trees, forests and cycles', Sustainable Forestry, vol. 1, pp. 1 - 5, http://dx.doi.org/10.24294/sf.v1i2.968
2018
Mammoliti A; Britz T, 2018, 'On mubayi's conjecture and conditionally intersecting sets', SIAM Journal on Discrete Mathematics, vol. 32, pp. 2361 - 2380, http://dx.doi.org/10.1137/18M1166250
2018
Britz T, 2018, 'On the betweenness centrality of trees, forests and cycles', Sustainable Forestry, vol. 1, pp. 1 - 5, http://dx.doi.org/10.24294/sf.v1i2.968
2018
Tran B; Straka P; Falster MO; Douglas KA; Britz T; Jorm LR, 2018, 'Overcoming the data drought: Exploring general practice in Australia by network analysis of big data', Medical Journal of Australia, vol. 209, pp. 68 - 73, http://dx.doi.org/10.5694/mja17.01236
2018
Bright D; Greenhill C; Britz T; Ritter A; Morselli C, 2017, 'Criminal network vulnerabilities and adaptations', Global Crime, vol. 18, pp. 424 - 441, http://dx.doi.org/10.1080/17440572.2017.1377614
2017
Britz T; Shiromoto K, 2016, 'On the Covering Dimension of a Linear Code', IEEE Transactions on Information Theory, vol. 62, pp. 2694 - 2701, http://dx.doi.org/10.1109/TIT.2016.2538768
2016
Hunter DO; Britz T; Jones M; Letnic M, 2016, 'Reintroduction of Tasmanian devils to mainland Australia can restore top-down control in ecosystems where dingoes have been extirpated: A response to Baker et al. 2016 and Fancourt & Mooney 2016', Biological Conservation, vol. 196, pp. 20 - 21, http://dx.doi.org/10.1016/j.biocon.2016.01.021
2016
Hunter DO; Britz T; Jones M; Letnic MI, 2015, 'Reintroduction of Tasmanian devils to mainland Australia can restore top-down control in ecosystems where dingoes have been extirpated', Biological Conservation, vol. 191, pp. 428 - 435, http://dx.doi.org/10.1016/j.biocon.2015.07.030
2015
Britz T; Cavenagh NJ; Sørensen HK, 2015, 'Maximal partial Latin cubes', Electronic Journal of Combinatorics, vol. 22
2015
Britz T; Shiromoto K; Westerbäck T, 2015, 'Demi-matroids from codes over finite Frobenius rings', Designs, Codes, and Cryptography, vol. 75, pp. 97 - 107, http://dx.doi.org/10.1007/s10623-013-9895-3
2015
Britz T; Cavenagh NJ; Sørensen HK, 2015, 'Maximal partial Latin cubes', Electronic Journal of Combinatorics, vol. 22, http://dx.doi.org/10.37236/4726
2015
Britz T; Mammoliti A; Sørensen HK, 2014, 'Proof by picture: A selection of nice picture proofs', Parabola, vol. 3, pp. 5 - 15, https://www.parabola.unsw.edu.au/2010-2019/volume-50-2014/issue-3/article/proof-picture-selection-nice-picture-proofs
2014
Britz T; Johnsen T; Martin J, 2014, 'Chains, demi-matroids, and profiles', IEEE Transactions on Information Theory, vol. 60, pp. 986 - 991, http://dx.doi.org/10.1109/TIT.2013.2292524
2014
Chan TH; Grant A; Britz T, 2013, 'Quasi-uniform codes and their applications', IEEE Transactions on Information Theory, vol. 59, pp. 7915 - 7926, http://dx.doi.org/10.1109/TIT.2013.2280914
2013
Britz T; Johnsen T; Mayhew D; Shiromoto K, 2012, 'Wei-type duality theorems for matroids', Designs Codes and Cryptography, vol. 62, pp. 331 - 341, http://dx.doi.org/10.1007/s10623-011-9524-y
2012
Britz T, 2010, 'Code enumerators and Tutte polynomials', IEEE Transactions on Information Theory, vol. 56, pp. 4350 - 4358, http://dx.doi.org/10.1109/TIT.2010.2054654
2010
Britz T; Royle G; Shiromoto K, 2009, 'Designs from matroids', SIAM Journal on Discrete Mathematics, vol. 23, pp. 1082 - 1099, http://dx.doi.org/10.1137/080728913
2009
Britz T; Shiromoto K, 2008, 'A MacWilliams type identity for matroids', Discrete Mathematics, vol. 308, pp. 4551 - 4559, http://dx.doi.org/10.1016/j.disc.2007.08.064
2008
Britz T; Shiromoto K, 2008, 'Designs from subcode supports of linear codes', Designs Codes and Cryptography, vol. 46, pp. 175 - 189, http://dx.doi.org/10.1007/s10623-007-9145-7
2008
Britz T, 2007, 'Higher support matroids', Discrete Mathematics, vol. 307, pp. 2300 - 2308, http://dx.doi.org/10.1016/j.disc.2006.12.001
2007
Britz D; Britz T; Shiromoto K, 2007, 'The higher weight enumerators of the doubly-even self-dual [48,24,12] code', IEEE Transactions on Information Theory, vol. 53, pp. 2567 - 2571, http://dx.doi.org/10.1109/TIT.2007.899509
2007
Britz T, 2007, 'The Moore-Penrose inverse of a free matrix', Electronic Journal of Linear Algebra, vol. 16, pp. 208 - 215
2007
Britz T, 2006, 'On P-weight and P-distance inequalities', Discrete Mathematics, vol. 306, pp. 598 - 599, http://dx.doi.org/10.1016/j.disc.2006.01.017
2006
Britz T; Rutherford CG, 2005, 'Covering radii are not matroid invariants', Discrete Mathematics, vol. 296, pp. 117 - 120, http://dx.doi.org/10.1016/j.disc.2005.03.002
2005
Britz T; Olesky DD; van den Driessche P, 2005, 'Schur complements of matrices with acyclic bipartite graphs', Electronic Journal of Linear Algebra, vol. 14, pp. 2 - 11
2005
Britz T, 2005, 'Extensions of the Critical Theorem', Discrete Mathematics, vol. 305, pp. 55 - 73, http://dx.doi.org/10.1016/j.disc.2005.10.002
2005
Britz T; Olesky DD; van den Driessche P, 2004, 'Matrix inversion and digraphs: the one factor case', Electronic Journal of Linear Algebra, vol. 11, pp. 115 - 131
2004
Britz T; Mcdonald JJ; Olesky DD; van den Driessche P, 2004, 'Minimal spectrally arbitrary sign patterns', SIAM Journal on Matrix Analysis and Applications, vol. 26, pp. 257 - 271, http://dx.doi.org/10.1137/S0895479803432514
2004
Britz T; Olesky DD; van den Driessche P, 2004, 'The Moore-Penrose inverse of matrices with an acyclic bipartite graph', Linear Algebra and its Applications, vol. 390, pp. 47 - 60, http://dx.doi.org/10.1016/j.laa.2004.04.007
2004
Britz T; Olesky DD; van den Driessche P, 2004, 'Matrix inversion and digraphs: the one factor case', Electronic Journal of Linear Algebra, vol. 11, pp. 115 - 131
2004
Britz T; Britz D, 2003, 'Mathematical proof of the consistency of Feldberg’s simple BDF start in electrochemical digital simulation', Journal of Electroanalytical Chemistry, vol. 546, pp. 123 - 125, http://dx.doi.org/10.1016/S0022-0728(03)00149-9
2003
Britz T, 2002, 'MacWilliams identities and matroid polynomials', Electronic Journal of Combinatorics, vol. R9, pp. 1 - 19, http://www.combinatorics.org/Volume_9/Abstracts/v9i1r19.html
2002
Britz T; Fomin S, 2001, 'Finite posets and Ferrers shapes', Advances in Mathematics, vol. 158, pp. 86 - 127, http://dx.doi.org/10.1006/aima.2000.1966
2001
Britz T, 2001, 'The inverse of a non-singular free matrix', Linear Algebra and its Applications, vol. 338, pp. 245 - 249, http://dx.doi.org/10.1016/S0024-3795(01)00409-8
2001
Other
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Henry B; Britz T; Schumacher E; Marschalek R; Zacarelli Denke R; Bojanic Helbingen C; Zayas Claure CD; Humenberger H; Fallas-Monge JJ; Durán Silva R; Jupri A; Kageyama K; Ishibashi I; Ávila Pozos O; Rivera I; Voss P; Panduro Urrelo HE; Karas S; Ruminska M; Sulitsa | O; Romanchuck V; Tolmachev Y, 2018, MATHBRIDGES Calendar, University of Münster, https://www.uni-muenster.de/imperia/md/content/afo/news/afo-kalender_mathebruecken_web.pdf
2018
Vice-Chancellor's Award for Contributions to Student Learning, UNSW, 2015.
UNSW Light Digital Uplift of MATH3411: $15,000, 2019

Research Grants

$510,115 total awarded by grants, including the following:

  • ARC Discovery Grant: T. Britz,
    "Chromatic polynomials, random graphs, and error-correcting codes: a unified approach to graph colouring problems”, $242,066, 2007–2009
  • PIMS Postdoctoral Fellowship, 20,000CAD, 2003–2004
  • Villum Kann Rasmussen Postdoctoral Fellowship, 350.000DKK (2004–2005)
  • Carlsberg Foundation Postdoctoral Fellowship, 350.000DKK, 2006
  • UNSW Faculty of Science Silverstar Award, T. Britz, $25,000, 2013

Mathematics; Pure Mathematics; Discrete Mathematics; Graph Theory; Combinatorics; Applied Mathematics; Mathematical Education; Editor of outreach journal Parabola

Courses:

I have designed, created and lectured the HDR/Honours courses

Aspects of Combinatorial Optimisation (at Kumamoto University, 2011)
Combinatorial Enumeration and Optimisation (AMSI Summer School 2012, with Prof. Ian Wanless).
MATH5505 - Combinatorics (UNSW 2016, 2018)
An Introduction to Combinatorics (Aalto University, 2017)

and written course material for, and lectured, the courses

MATH151 - Finite Mathematics (University of Victoria, BC, Canada)
MATH1081 - Discrete Mathematics
MATH1131 - Mathematics 1A
MATH1241 - Higher Mathematics 1B
MATH3411 - Information, Codes and Ciphers
MATH3521 - Algebraic Techniques in Number Theory

In total, I have lectured semester courses for 6,000 students.
I have also tutored numerous courses, for 2,000 students.