J. Sumner

Most-cited papers

Lie Markov models.
J. Sumner, J. Fernández-Sánchez, Peter D. Jarvis
2011Journal of Theoretical Biology69 citations Open access
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Is the general time-reversible model bad for molecular phylogenetics?
J. Sumner, P. Jarvis, J. Fernández-Sánchez, Bodie T Kaine +2 more
2011Systematic Biology68 citations Open access
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A New Hierarchy of Phylogenetic Models Consistent with Heterogeneous Substitution Rates
M. Woodhams, J. Fernández-Sánchez, J. Sumner
2014Systematic Biology37 citations Open access
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Low-parameter phylogenetic inference under the general markov model.
B. Holland, P. Jarvis, J. Sumner
2013Systematic Biology30 citations Open access
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Markov invariants, plethysms, and phylogenetics.
J. Sumner, M. A. Charleston, L. Jermiin, Peter D. Jarvis
2007Journal of Theoretical Biology28 citations Open access
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Lie Markov models with purine/pyrimidine symmetry
J. Fernández-Sánchez, J. Sumner, P. Jarvis, M. Woodhams
2012Journal of Mathematical Biology27 citations Open access
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Notes on Markov embedding
M. Baake, J. Sumner
2019Linear Algebra and its Applications22 citations Open access
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Tensor Rank, Invariants, Inequalities, and Applications
E. Allman, P. Jarvis, J. Rhodes, J. Sumner
2012SIAM Journal on Matrix Analysis and Applications22 citations Open access
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phylogenetic invariants.
P. D. Jarvis, B. Holland, J. Sumner
202220 citations Open access
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Markov invariants and the isotropy subgroup of a quartet tree.
J. Sumner, Peter D. Jarvis
2008Journal of Theoretical Biology19 citations Open access
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Entanglement invariants and phylogenetic branching
J. Sumner, Peter D. Jarvis
2004Journal of Mathematical Biology19 citations Open access
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The Algebra of the General Markov Model on Phylogenetic Trees and Networks
J. Sumner, B. Holland, P. Jarvis
2010Bulletin of Mathematical Biology18 citations Open access
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U(1) × U(1) × U(1) symmetry of the Kimura 3ST model and phylogenetic branching processes
J. Bashford, Peter D. Jarvis, J. Sumner, M. Steel
200318 citations Open access
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Using the tangle: a consistent construction of phylogenetic distance matrices for quartets.
J. Sumner, Peter D. Jarvis
2005Mathematical Biosciences17 citations Open access
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Path integral formulation and Feynman rules for phylogenetic branching models
Peter D. Jarvis, J. Bashford, J. Sumner
200417 citations Open access
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A representation-theoretic approach to the calculation of evolutionary distance in bacteria
J. Sumner, P. Jarvis, Andrew R. Francis
201615 citations Open access
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Maximum likelihood estimates of pairwise rearrangement distances.
Stuart Serdoz, A. Egri-Nagy, J. Sumner, B. Holland +3 more
2016Journal of Theoretical Biology15 citations Open access
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The Ancient Operational Code is Embedded in the Amino Acid Substitution Matrix and aaRS Phylogenies
J. A. Shore, B. Holland, J. Sumner, K. Nieselt +1 more
2019Journal of Molecular Evolution14 citations Open access
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Multiplicatively closed Markov models must form Lie algebras
J. Sumner
201713 citations Open access
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Maximum Likelihood Estimates of Rearrangement Distance: Implementing a Representation-Theoretic Approach
Venta Terauds, J. Sumner
2018Bulletin of Mathematical Biology12 citations Open access
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On equal-input and monotone Markov matrices
M. Baake, J. Sumner
2020Advances in Applied Probability11 citations Open access
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Markov Invariants for Phylogenetic Rate Matrices Derived from Embedded Submodels
P. Jarvis, J. Sumner
2010IEEE/ACM Transactions on Computational Biology & Bioinformatics11 citations Open access
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× U ( 1 ) symmetry of the Kimura 3 ST model and phylogenetic branching processes
J. Bashford, P. Jarvis, J. Sumner
200310 citations
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Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model
P. Jarvis, J. Sumner
2013Journal of Mathematical Biology9 citations Open access
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Phylogenetic estimation with partial likelihood tensors
J. Sumner, M. Charleston
2008Journal of Theoretical Biology9 citations Open access
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Entanglement, Invariants, and Phylogenetics
J. Sumner
20069 citations
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ADVENTURES IN INVARIANT THEORY
Peter D. Jarvis, J. Sumner
2012The ANZIAM Journal8 citations Open access
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Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants
J. Sumner, Amelia Taylor, B. Holland, P. Jarvis
2016Journal of Mathematical Biology7 citations Open access
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Phylogenetic Invariants and Markov Invariants
P. Jarvis, B. Holland, J. Sumner
20167 citations Open access
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Lie geometry of 2×2 Markov matrices.
J. Sumner
2013Journal of Theoretical Biology7 citations Open access
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Rearrangement Events on Circular Genomes
Joshua Stevenson, Venta Terauds, J. Sumner
2022Bulletin of Mathematical Biology4 citations Open access
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A new algebraic approach to genome rearrangement models
Venta Terauds, J. Sumner
2020Journal of Mathematical Biology4 citations Open access
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Exploring the consequences of lack of closure in codon models
M. Woodhams, J. Sumner, D. Liberles, M. Charleston +1 more
20174 citations
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Dimensional Reduction for the General Markov Model on Phylogenetic Trees
J. Sumner
2016Bulletin of Mathematical Biology4 citations Open access
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Uniformization Stable Markov Models and Their Jordan Algebraic Structure
Luke Cooper, J. Sumner
2021SIAM Journal on Matrix Analysis and Applications3 citations Open access
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Systematics and symmetry in molecular phylogenetic modelling: perspectives from physics
P. Jarvis, J. Sumner
2018Journal of Physics A: Mathematical and Theoretical3 citations Open access
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Lie-Markov Models Derived from Finite Semigroups
J. Sumner, M. Woodhams
2017Bulletin of Mathematical Biology3 citations Open access
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Dimensional reduction for phylogenetic tree models
J. Sumner
20163 citations
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A tensorial approach to the inversion of group-based phylogenetic models
J. Sumner, P. Jarvis, B. Holland
2012BMC Evolutionary Biology3 citations Open access
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A symmetry-inclusive algebraic approach to genome rearrangement
Venta Terauds, Joshua Stevenson, J. Sumner
2021J. Bioinform. Comput. Biol.2 citations Open access
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Distinguishing Between Convergent Evolution and Violation of the Molecular Clock for Three Taxa.
Jonathan D. Mitchell, J. Sumner, Barbara R. Holland
2018Systematic Biology2 citations Open access
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Distinguishing between convergent evolution and violation of the molecular clock
Jonathan D. Mitchell, J. Sumner, B. Holland
20172 citations
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Evaluation of the Relative Performance of the Subflattenings Method for Phylogenetic Inference
Joshua Stevenson, B. Holland, M. Charleston, J. Sumner
2022Bulletin of Mathematical Biology1 citations Open access
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Closed codon models: just a hopeless dream?
J. A. Shore, J. Sumner, B. Holland
20181 citations
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Low-parameter phylogenetic estimation under the general Markov model
B. Holland, P. Jarvis, J. Sumner
20121 citations
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Lie Markov models with S2wrS2 symmetry
J. Fernández-Sánchez, P. Jarvis, M. Woodhams, J. Sumner
20121 citations
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Correction to: Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model
P. Jarvis, J. Sumner
2021Journal of Mathematical Biology0 citations Open access
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The impracticalities of multiplicatively-closed codon models: a retreat to linear alternatives
J. A. Shore, J. Sumner, B. Holland
2018Journal of Mathematical Biology0 citations Open access
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2 S ep 2 01 7 Lie-Markov models derived from finite semigroups
J. Sumner, M. Woodhams
20180 citations
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Circular genome rearrangement models: applying representation theory to evolutionary distance calculations
Venta Terauds, J. Sumner
20170 citations
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