Professor Andrew Francis
Director Of Centre For Research In Mathematics,
Centre For Research In Mathematics
Professor,
Mathematics
Biography
Professor Andrew Francis is the Director of the Centre for Research in Mathematics at Western Sydney University.
He is a former ARC Future Fellow, who works on a wide range of research problems in algebra and mathematical biology. He joined Western Sydney in the year 2000 as a Lecturer in Mathematics, after a postdoctoral position at the University of Virginia.
His research is in a wide range of fields, but can be characterized as the application of discrete and combinatorial mathematics, especially reflection groups, to problems. To date, apart from algebra itself, these problems have chiefly been in epidemiology, genome structure, phylogenetics, and statistics.
Professor Francis has held a number of governance posts, including being on Academic Senate 20072011. He chaired the Senate's Mathematics Expert Advisory Group in 2010 that reviewed issues relating to all levels of mathematics at UWS and made many recommendations. He has served on the Council of the Australian Mathematical Society (201214), and on the ARC Research Evaluation Committee for the 2015 Excellence in Research for Australia exercise.
This information has been contributed by Professor Francis.
Qualifications
 PhD University of New South Wales
 BSc University of Sydney
Professional Memberships
 American Mathematical Society (1998)
 Society for Mathematical Biology (2011)
 Australian Mathematical Society (1995)
Organisational Unit (School / Division)
 Centre For Research In Mathematics
 Mathematics
Contact
Email:  A.Francis@westernsydney.edu.au 

Phone:  (02) 9685 9236 
Mobile:  0439893637 
Location:  EN.1.42 Parramatta 
Website: 
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Publications
Journal Articles
 Rodrigues, G., Francis, A., Sisson, S. and Tanaka, M. (2017), '[In Press] Inferences on the acquisition of multidrug resistance in Mycobacterium tuberculosis using molecular epidemiological data', arXiv, .
 Serdoz, S., EgriNagy, A., Sumner, J., Holland, B., Jarvis, P., Tanaka, M. and Francis, A. (2017), 'Maximum likelihood estimates of pairwise rearrangement distances', Journal of Theoretical Biology, vol 423 , pp 31  40.
 Francis, A., Stehlik, M. and Wynn, H. (2017), '"Building" exact confidence nets', Bernoulli, vol 23, no 4B , pp 3145  3165.
 Bryant, D., Francis, A. and Steel, M. (2017), 'Can we "futureproof" consensus trees?', Systematic Biology, vol 66, no 4 , pp 611  619.
 Bhatia, S., EgriNagy, A. and Francis, A. (2015), 'Algebraic double cut and join : a grouptheoretic approach to the operator on multichromosomal genomes', Journal of Mathematical Biology, vol 71, no 5 , pp 1149  1178.
 Francis, A. and Steel, M. (2015), 'Treelike reticulation networks : when do treelike distances also support reticulate evolution?', Mathematical Biosciences, vol 259 , pp 12  19.
 Francis, A. and Steel, M. (2015), 'Which phylogenetic networks are merely trees with additional arcs?', Systematic Biology, vol 64, no 5 , pp 768  777.
 Francis, A. and Wynn, H. (2014), 'Subgroup majorization', Linear Algebra and Its Applications, vol 444 , pp 53  66.
 Bak, T., Chu, D., Francis, A., Li, W. and Nowotny, J. (2014), 'Concentration of electrons at grain boundaries in TiO2 (rutile) : impact on charge transport and reactivity', Catalysis Today, .
 EgriNagy, A., Gebhardt, V., Tanaka, M. and Francis, A. (2014), 'Grouptheoretic models of the inversion process in bacterial genomes', Journal of Mathematical Biology, vol 69, no 1 , pp 243  265.
 Francis, A. (2014), 'An algebraic view of bacterial genome evolution', Journal of Mathematical Biology, vol 69, no 67 , pp 1693  1718.
 Francis, A. and Tanaka, M. (2012), 'Evolution of variation in presence and absence of genes in bacterial pathways', BMC Evolutionary Biology, vol 12, no 55 , pp 1  11.
 Francis, A. and Jones, L. (2011), 'Monomial bases for the centres of the group algebra and iwahorihecke algebra of the symmetric group', Far East Journal of Mathematical Sciences, vol 58, no 2 , pp 119  143.
 Ballouz, S., Francis, A., Lan, R. and Tanaka, M. (2010), 'Conditions for the Evolution of Gene Clusters in Bacterial Genomes', PLoS Computational Biology, vol 6, no 2 , pp 1  10.
 Stevenson, P., Mnatsakanyan, M., Francis, A. and Shalliker, R. (2010), 'A discussion on the process of defining 2D separation selectivity', Journal of Separation Science, vol 33, no 10 , pp 1405  1413.
 Francis, A. and Jones, L. (2009), 'A new integral basis for the centre of the IwahoriHecke algebra of type A', Journal of Algebra, vol 321, no 3 , pp 866  878.
 Luciani, F., Sisson, S., Jiang, H., Francis, A. and Tanaka, M. (2009), 'The epidemiological fitness cost of drug resistance in Mycobacterium tuberculosis', Proceedings of the National Academy of Sciences of the United States of America, vol 106, no 34 , pp 14711  14715.
 Luciani, F., Francis, A. and Tanaka, M. (2008), 'Interpreting genotype cluster sizes of Mycobacterium tuberculosis isolates typed with IS6110 and spoligotyping', Infection, Genetics and Evolution, vol 8, no 2 , pp 182  190.
 Reyes, J., Francis, A. and Tanaka, M. (2008), 'Models of deletion for visualizing bacterial variation : an application to tuberculosis spoligotypes', BMC Bioinformatics, vol 9 .
 Tang, C., Reyes, J., Luciani, F., Francis, A. and Tanaka, M. (2008), 'spolTools : online utilities for analyzing spoligotypes of the Mycobacterium tuberculosis complex', Bioinformatics, vol 24, no 20 , pp 2414  2415.
 Francis, A. and Jones, L. (2007), 'On the square root of the centre of the Hecke algebra of type A', Journal of the Australian Mathematical Society, vol 82, no 2 , pp 209  220.
 Tanaka, M. and Francis, A. (2006), 'Detecting emerging strains of tuberculosis by using spoligotypes', Proceedings of the National Academy of Sciences of the United States of America, vol 103, no 41 , pp 15266  15271.
 Tanaka, M., Phong, R. and Francis, A. (2006), 'An evaluation of indices for quantifying tuberculosis transmission using genotypes of pathogen isolates', BMC Infectious Diseases, vol 6, no 92 .
 Francis, A. and Graham, J. (2006), 'Centres of Hecke algebras: the DipperJames conjecture', Journal of Algebra, vol 306, no 1 , pp 244  267.
 Tanaka, M., Francis, A., Luciani, F. and Sisson, S. (2006), 'Using Approximate Bayesian Computation to Estimate Tuberculosis Transmission Parameters From Genotype Data', Genetics, vol 173, no 3 , pp 1511  1520.
 Tanaka, M. and Francis, A. (2005), 'Methods of quantifying and visualising outbreaks of tuberculosis using genotypic information', Infection, Genetics and Evolution, vol 5, no 1 , pp 35  43.
 Francis, A. and Jones, L. (2005), 'On bases of centres of IwahoriHecke algebras of the symmetric group', Journal of Algebra, vol 289, no 1 , pp 42  69.
 Francis, A. (2003), 'Centralizers of IwahoriHecke algebras II: the general case', Algebra Colloquium, vol 10 , pp 95  100.
 Francis, A. (2001), 'The Brauer Homomorphism and the minimal basis for centres of IwahoriHecke algebra', Communications in Algebra, vol 29, no 1 , pp 85  97.
Conference Papers
 EgriNagy, A., Francis, A. and Gebhardt, V. (2014), 'Bacterial genomics and computational group theory : the BioGAP package for GAP', International Congress of Mathematical Software, Seoul, South Korea.
 Francis, A. and Jones, L. (2012), 'Multiplicative bases for the centres of the group algebra and IwahoriHecke algebra of the symmetric group', Southeastern Lie Theory Workshop: Finite and Algebraic Groups, University of Virginia.
 Francis, A. and Wang, W. (2009), 'The centers of IwahoriHecke algebras are filtered', Fourth International Conference on Representation Theory, Lhasa, China.
Research
My research interests are in applications of algebra, combinatorics, and discrete mathematics to biology and anywhere I find interesting questions. My algebraic training was in the structure of Hecke algebras, that arise in the representation theory of finite groups, and especially I enjoy working with reflection groups. My mathematical biology interests are to do with understanding the evolutionary processes of bacterial organisms, as well as in epidemiology (the spread of disease), and phylogenetics (the study of historical evolutionary relationships). I am interested in thinking about "the way things work" and using mathematical ways of thinking to clarify problems.
This information has been contributed by Professor Francis.
Previous Projects
Title:  Algebraic algorithms for investigating the space of bacterial genomes 

Years:  20130101  20151231 
ID:  P00020822 
Western Researchers:  Andrew Francis and Volker Gebhardt 
Funding: 

Title:  Evolutionary models and bioinformatic analyses of genetic variation in pathogens [via UNSW] 
Years:  20050101  20071231 
ID:  P0014704 
Western Researchers:  Andrew Francis 
Funding: 

Title:  Mathematical models and bioinformatic analyses of bacterial genome evolution [via UNSW] 
Years:  20090106  20140530 
ID:  P00016641 
Western Researchers:  Andrew Francis 
Funding: 

Title:  Algebraic evolution and evolutionary algebra 
Years:  20101230  20150630 
ID:  P00018766 
Western Researchers:  Andrew Francis 
Funding: 

Supervision
Professor Francis is available to be a principal supervisor for doctoral projects
Current Supervision
Title:  The Evolution of Multiple Drug Resistance in Mycobacterium Tuberculosis 

Field of Research:  
Title:  Algebraic Models of Bacterial Genomes Evolving by Inversions and Deletions 
Field of Research:  
Title:  A Group Theoretic Approach to Modelling the Evolution Process in the Bacterial Genome 
Field of Research: 