Professor Andrew Francis

Professor Andrew Francis

Professor,
Mathematics

Biography

Professor Andrew Francis is the Director of the Centre for Research in Mathematics, and the Lead Director of Academic Programs for Mathematics and Statistics at UWS.

He is a former ARC Future Fellow, who works on research problems relating bacterial evolution to algebraic structures.  He joined UWS in the year 2000 as a Lecturer in Mathematics, after a post-doctoral position at the University of Virginia.  His PhD and initial research interests were in the representation theory of finite groups, in particular the structure of Iwahori-Hecke algebras, looked at from a combinatorial point of view.  He began a parallel research programme in mathematical biology in 2002, and recently has begun bringing his two areas of expertise together by modelling evolution algebraically.  

Professor Francis has held a number of governance posts, including being on Academic Senate 2007-2011.  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 (2012-14), and is currently serving on the ARC Research Evaluation Committee for the 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)

  • 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

  • Francis, A. and Steel, M. (2015), 'Tree-like reticulation networks : when do tree-like 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, .
  • Francis, A. (2014), 'An algebraic view of bacterial genome evolution', Journal of Mathematical Biology, vol 69, no 6-7 , pp 1693 - 1718.
  • Bhatia, S., Egri-Nagy, A. and Francis, A. (2014), 'Algebraic double cut and join : a group-theoretic approach to the operator on multichromosomal genomes', Journal of Mathematical Biology, .
  • Egri-Nagy, A., Gebhardt, V., Tanaka, M. and Francis, A. (2013), 'Group-theoretic models of the inversion process in bacterial genomes', Journal of Mathematical Biology, .
  • 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 iwahori-hecke 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 2-D 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 Iwahori-Hecke 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 Dipper-James 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 Iwahori-Hecke algebras of the symmetric group', Journal of Algebra, vol 289, no 1 , pp 42 - 69.
  • Francis, A. (2003), 'Centralizers of Iwahori-Hecke 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 Iwahori-Hecke algebra', Communications in Algebra, vol 29, no 1 , pp 85 - 97.

Conference Papers

  • Egri-Nagy, 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 Iwahori-Hecke 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 Iwahori-Hecke algebras are filtered', Fourth International Conference on Representation Theory, Lhasa, China.

Research

My research interests are in algebra and in mathematical biology. My algebra interests lie in the structure of Hecke algebras, that arise in the representation theory of finite groups. My mathematical biology interests are to do with understanding the evolutionary processes of bacterial organisms. I am interested in thinking about "the way things work" and using mathematical ways of thinking to clarify problems. My current research focuses on ways to employ algebraic ways of thinking to address evolutionary questions.

This information has been contributed by Professor Francis.

Previous Projects

Title: Algebraic algorithms for investigating the space of bacterial genomes
Years: 2013-01-01 - 2015-12-31
ID: P00020822
Western Researchers: Andrew Francis and Volker Gebhardt
Funding:
  • Australian Research Council (ACRG)
Title: Evolutionary models and bioinformatic analyses of genetic variation in pathogens [via UNSW]
Years: 2005-01-01 - 2007-12-31
ID: P0014704
Western Researchers: Andrew Francis
Funding:
  • Australian Research Council (ACRG)
Title: Mathematical models and bioinformatic analyses of bacterial genome evolution [via UNSW]
Years: 2009-01-06 - 2014-05-30
ID: P00016641
Western Researchers: Andrew Francis
Funding:
  • Australian Research Council (ACRG)
Title: Algebraic evolution and evolutionary algebra
Years: 2010-12-30 - 2015-12-30
ID: P00018766
Western Researchers: Andrew Francis
Funding:
  • Australian Research Council (ACRG)

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 Evolution and Evolutionary Algebra
Field of Research:
Title: A Group Theoretic Approach to Modelling the Evolution Process in the Bacterial Genome
Field of Research:

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