Web Access Research Portal

Researcher: Sumner, JG (Dr Jeremy Sumner)

Fields of Research

Biological Mathematics
Physical Sciences
Phylogeny and Comparative Analysis
Molecular Evolution
Group Theory and Generalisations
Public Health and Health Services
Biological Physics
Numerical Analysis
Statistical Theory
Genetic Immunology
Gene Expression (incl. Microarray and other genome-wide approaches)
Algebraic and Differential Geometry
Stochastic Analysis and Modelling
Applied Statistics

Research Objectives

Expanding Knowledge in the Mathematical Sciences
Expanding Knowledge in the Physical Sciences
Expanding Knowledge in the Biological Sciences
Expanding Knowledge in the Environmental Sciences
Computer Time Leasing, Sharing and Renting Services
Flora, Fauna and Biodiversity at Regional or Larger Scales

Career Best Publications

Lie Markov models; Journal of Theoretical Biology
Markov invariants, plethysms, and phylogenetics; Journal of Theoretical Biology

Research Publications

A new hierarchy of phylogenetic models consistent with heterogeneous substitution rates; Systematic Biology
A tensorial approach to the inversion of group-based phylogenetic models; BMC Evolutionary Biology
Adventures in invariant theory; ANZIAM Journal
Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants; Journal of Mathematical Biology
Dimensional reduction for the General Markov Model on phylogenetic trees; Bulletin of Mathematical Biology
Entanglement invariants and phylogenetic branching; Journal of Mathematical Biology
Entanglement, Invariants, and Phylogenetics
Erratum-Entanglement invariants and phylogenetic branching; Journal of Mathematical Biology
Is the general time-reversible model bad for molecular phylogenetics?; Systematic Biology
Lie geometry of 2 x 2 Markov matrices; Journal of Theoretical Biology
Lie Markov models; Journal of Theoretical Biology
Lie Markov models with purine/pyrimidine symmetry; Journal of Mathematical Biology
Low-parameter phylogenetic inference under the general Markov model; Systematic Biology
Markov invariants and the isotropy subgroup of a quartet tree; Journal of Theoretical Biology
Markov Invariants for Phylogenetic Rate Matrices Derived from Embedded Submodels; IEEE/ACM Transactions on Computational Biology and Bioinformatics
Markov invariants, plethysms, and phylogenetics; Journal of Theoretical Biology
Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model; Journal of Mathematical Biology
Maximum likelihood estimates of pairwise rearrangement distances; Journal of Theoretical Biology
Path integral formulation and Feynman rules for phylogenetic branching models; Journal of Physics A: Mathematical and General
Phylogenetic estimation with partial likelihood tensors; Journal of Theoretical Biology: An International Multidisciplinary Journal
Phylogenetic Invariants; Brenner's Encyclopedia of Genetics
Phylogenetic Invariants and Markov Invariants; Reference Module in Life Sciences
Tensor rank, invariants, inequalities, and applications; Journal on Matrix Analysis and Applications
The Algebra of the General Markov Model on Phylogenetic Trees and Networks; Bulletin of Mathematical Biology
To gamma or not to gamma? Testing the fit of rates-across-sites models; Phylomania 2012
U(1) U(1) U(1) symmetry of the Kimura 3ST model and phylogenetic branching processes; Journal of Physics A-Mathematical and General
Using the tangle: A consistent construction of phylogenetic distance matrices for quartets; Mathematical Biosciences

Research Projects

2008 R2 - Algebraic Methods in Systems Biology and Statistics: Molecular Evolution and Phylogenetics Workshop', Statistical and Applied Mathematical Sciences Institute (SAMSI), North Carolina, USA; University of Tasmania (UTAS)
Algebraically informed models of biological sequence evolution; Australian Research Council (ARC)
Group theory and phylogenetics: Exploiting symmetry to uncover evolutionary histories; Australian Research Council (ARC)
Markov Invariants and Phylogenetic Tree Reconstruction; Australian Research Council (ARC)
Phylogenetics: New Data, New Phylogenetic Challenges Follow-up Meeting - UK, 2011; University of Tasmania (UTAS)

Research Candidate Supervision

A Scattering Approach to Gravitational Lensing
Investigation and Application of Statistical Techniques when Using Wastewater Analysis to Monitor Illicit Drug Use
New Algebraic Structures in Phylogenetics