| | | | | | | |  | | | Thomas Britz | | | | Aus Post-Doc Res Fell (ARC) | | | | Office | Room
5111 ,
The Red Centre | | Phone | 9385 7115 | | Mobile | email me | | Email | britz@unsw.edu.au |
| | RESEARCH INTERESTS | | | I am interested in most areas of discrete mathematics and combinatorics. My research has been in graph theory, matroid theory, coding theory, combinatorial polynomials, partially ordered sets, matching theory, flow theory, and enumerative combinatorics.
I also enjoy applying combinatorial methods and results to other areas; these have included linear algebra, bioinformatics, electrochemistry, and industrial/commercial problems. | | | | TEACHING DUTIES | | | - MATH1081 Discrete Mathematics (Semester 2 2008)
- MATH3521 Algebraic Techniques in Number Theory (Semester 1 2008)
| | | | RECENT GRANTS | | | - ARC Discovery Grant: T. Britz, "Chromatic polynomials, random graphs, and error-correcting codes: a unified approach to graph colouring problems", 2007 - 2009.
- Carlsberg Foundation Postdoctoral Grant, Jan. 2006 - Dec. 2006.
- PIMS Postdoctoral Fellowship, July 2003 - June 2004.
- Villum Kann Rasmussen Postdoctoral Grant, Sept. 2004 - Aug. 2005.
| | | | SELECTED PUBLICATIONS | | | - T. Britz, G. Royle, and K. Shiromoto, Designs from matroids, SIAM J. Discrete Math. 23 (2009), 1082--1099.
- T. Britz and K. Shiromoto, A MacWilliams type identity for matroids, Discrete Math. 308 (2008), 4551--4559.
- T. Britz and K. Shiromoto, Designs from subcode supports of linear codes, Des. Codes Cryptogr. 46 (2008), 175-189.
- T. Britz, The Moore-Penrose inverse of a free matrix, Electron. J. Linear Algebra 16 (2007), 208-215.
- T. Britz, Higher support matroids, Discrete Math. 307 (2007), 2300-2308.
- D. Britz, T. Britz, K. Shiromoto, and H. K. Sørensen, The higher weight enumerators of the doubly-even, self-dual $[48,24,12]$ code,
IEEE Trans. Inform. Theory 53 (2007), 2567-2571.
- T. Britz, On P-weight and P-distance inequalities, Discrete Math. 306 (2006), 598-599.
- T. Britz, Extensions of the Critical Theorem, Discrete Math. 305 (2005), 55-73.
- T. Britz and C. Rutherford, Covering radii are not matroid invariants, Discrete Math. 296 (2005), 117-120.
- T. Britz, D. Olesky, and P. van den Driessche, Schur complements of matrices with acyclic bipartite graphs, Electron. J. Linear Algebra 14 (2005), 2-11.
- T. Britz, J. MacDonald, D. Olesky, and P. van den Driessche, Minimal spectrally arbitrary sign patterns, SIAM J. Matrix Anal. Appl. 26 (2004), 257-271.
- T. Britz, D. Olesky, and P. van den Driessche, The Moore-Penrose inverse of matrices with an acyclic bipartite graph, Linear Algebra Appl. 390 (2004), 47-60.
- T. Britz, D. Olesky, and P. van den Driessche, Matrix inversion and digraphs: the one factor case, Electron. J. Linear Algebra 11 (2004), 115-131.
- T. J. Britz and D. Britz, A mathematical proof of the consistency of Feldberg's simple BDF start in electrochemical digital simulation, J. Electroanal. Chem. 546 (2003), 123-125.
- T. Britz, MacWilliams identities and matroid polynomials, Electron. J. Combin. 9 (2002), R19, 17 pp.
- T. Britz, M. Mainetti, and L. Pezzoli, Some operations on the family of equivalence relations, in Algebraic Combinatorics and Computer Science. A Tribute To Gian-Carlo Rota, (H. Crapo and D. Senato eds.), pp. 445-460, Springer-Verlag, Milano, 2001.
- T. Britz, The inverse of a non-singular free matrix, Linear Algebra Appl. 338 (2001), 245-249.
- T. Britz and S. Fomin, Finite posets and Ferrers shapes, Adv. Math. 158 (2001), 86-127.
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Thomas Britz
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