Select Publications
Preprints
2024, Factorizing the Brauer monoid in polynomial time, http://arxiv.org/abs/2402.07874v2
,2023, Phylogenetic network classes through the lens of expanding covers, http://dx.doi.org/10.1007/s00285-024-02075-y
,2022, An algebraic model for inversion and deletion in bacterial genome rearrangement, http://arxiv.org/abs/2209.07963v2
,2021, A polynomial invariant for a new class of phylogenetic networks, http://arxiv.org/abs/2112.15179v2
,2021, Brauer and partition diagram models for phylogenetic trees and forests, http://dx.doi.org/10.1098/rspa.2022.0044
,2021, Encoding and ordering X-cactuses, http://arxiv.org/abs/2109.03183v1
,2021, "Normal" Phylogenetic Networks Emerge as the Leading Class, http://arxiv.org/abs/2107.10414v1
,2021, Phylogenetic Diversity Rankings in the Face of Extinctions: the Robustness of the Fair Proportion Index, http://arxiv.org/abs/2107.00748v1
,2020, A path-deformation framework for determining weighted genome rearrangement distance, http://arxiv.org/abs/2008.05560v1
,2020, Projected ICU and Mortuary load due to COVID-19 in Sydney, http://dx.doi.org/10.1101/2020.03.31.20049312
,2020, Rooted NNI moves on tree-based phylogenetic networks, http://dx.doi.org/10.1016/j.dam.2021.02.016
,2019, The space of tree-based phylogenetic networks, http://arxiv.org/abs/1910.05679v1
,2019, Tree-metrizable HGT networks, http://arxiv.org/abs/1908.08647v1
,2019, How tree-based is my network? Proximity measures for unrooted phylogenetic networks, http://arxiv.org/abs/1906.06163v4
,2019, A partial order and cluster-similarity metric on rooted phylogenetic trees, http://arxiv.org/abs/1906.02411v2
,2019, A mean first passage time genome rearrangement distance, http://arxiv.org/abs/1904.06161v2
,2018, Lattice consensus: A partial order on phylogenetic trees that induces an associatively stable consensus method, http://arxiv.org/abs/1810.06831v2
,2017, Identifiability of tree-child phylogenetic networks under a probabilistic recombination-mutation model of evolution, http://dx.doi.org/10.1016/j.jtbi.2018.03.011
,2017, Inferences on the acquisition of multidrug resistance in \emph{Mycobacterium tuberculosis} using molecular epidemiological data, http://arxiv.org/abs/1704.04355v1
,2017, Tree-based unrooted phylogenetic networks, http://dx.doi.org/10.1007/s11538-017-0381-3
,2017, Bounds for phylogenetic network space metrics, http://arxiv.org/abs/1702.05609v2
,2016, A representation-theoretic approach to the calculation of evolutionary distance in bacteria, http://dx.doi.org/10.1088/1751-8121/aa7d60
,2016, New Characterisations of Tree-Based Networks and Proximity Measures, http://arxiv.org/abs/1611.04225v2
,2016, Can we 'future-proof' consensus trees?, http://arxiv.org/abs/1611.01225v2
,2016, Position and content paradigms in genome rearrangements: the wild and crazy world of permutations in genomics, http://arxiv.org/abs/1610.00077v1
,2016, Maximum likelihood estimates of pairwise rearrangement distances, http://arxiv.org/abs/1602.03962v3
,2016, Bacterial phylogeny in the Cayley graph, http://arxiv.org/abs/1601.04398v1
,2015, Finite Diagram Semigroups: Extending the Computational Horizon, http://arxiv.org/abs/1502.07150v2
,2015, Which phylogenetic networks are merely trees with additional arcs?, http://arxiv.org/abs/1502.07045v3
,2014, Algebraic double cut and join -- A group-theoretic approach to the operator on multichromosomal genomes, http://arxiv.org/abs/1409.7146v1
,2014, "Building" exact confidence nets, http://arxiv.org/abs/1407.8375v4
,2014, Tree-like Reticulation Networks - When Do Tree-like Distances Also Support Reticulate Evolution?, http://arxiv.org/abs/1405.2965v2
,2014, Group-theoretic models of the inversion process in bacterial genomes, http://dx.doi.org/10.48550/arxiv.1401.0567
,2013, An algebraic view of bacterial genome evolution, http://arxiv.org/abs/1311.6151v2
,2013, Subgroup Majorization, http://dx.doi.org/10.1016/j.laa.2013.11.042
,2012, Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group, http://arxiv.org/abs/1205.6837v1
,2008, The centers of Iwahori-Hecke algebras are filtered, http://arxiv.org/abs/0803.3361v1
,2007, Monomial bases for the centres of the group algebra and Iwahori--Hecke algebra of S_4, http://arxiv.org/abs/0709.0326v2
,2007, Centralizers in the Hecke algebras of complex reflection groups, http://arxiv.org/abs/0707.2822v1
,2007, A new integral basis for the centre of the Hecke algebra of type A, http://arxiv.org/abs/0705.1581v1
,2007, On the square root of the centre of the Hecke algebra of type A, http://arxiv.org/abs/0705.1567v1
,2006, Centres of Hecke algebras: the Dipper-James conjecture, http://arxiv.org/abs/math/0603314v2
,2004, On bases of centres of Iwahori-Hecke algebras of the symmetric group, http://arxiv.org/abs/math/0401036v3
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