Web Access Research Portal

Researcher: Jarvis, PD (Dr Peter Jarvis)

Fields of Research

Physical Sciences
Particle Physics
Biological Mathematics
Algebraic Structures in Mathematical Physics
Group Theory and Generalisations
Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory
Integrable Systems (Classical and Quantum)
Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory
Phylogeny and Comparative Analysis
Mathematical Physics
Condensed Matter Characterisation Technique Development
Optimisation
Mathematical Aspects of General Relativity
German Language
Biological Physics
Quantum Physics
Gene Expression (incl. Microarray and other genome-wide approaches)
Approximation Theory and Asymptotic Methods
Operations Research
Nuclear Physics
Molecular Evolution
Genetic Immunology
Statistical Theory
Stochastic Analysis and Modelling
Atomic, Molecular, Nuclear, Particle and Plasma Physics
Medical Biotechnology
Applied Statistics
Theoretical and Computational Chemistry

Research Objectives

Expanding Knowledge in the Physical Sciences
Expanding Knowledge in the Mathematical Sciences
Expanding Knowledge in the Biological Sciences
Expanding Knowledge in the Environmental Sciences
Expanding Knowledge in Philosophy and Religious Studies
Communication Equipment
Flora, Fauna and Biodiversity at Regional or Larger Scales

Career Best Publications

A Hopf laboratory for symmetric functions; Journal of Physics A-Mathematical and General
A supersymmetric model for the evolution of the genetic code; Proceedings of the National Academy of Sciences of the United States of America
Adventures in invariant theory; ANZIAM Journal
Extended BRS invariance and OSp (4/2) supersymmetry; Journal of Physics A: General Physics
Extended two-level quantum dissipative system from bosonization of the elliptic spin- Kondo model; Journal of Physics A: Mathematical and Theoretical
Hidden supersymmetry-a 'no superpartner' theorem for representations of deformed conformal superalgebra; Journal of Physics A: Mathematical and Theoretical
Low-parameter phylogenetic inference under the general Markov model; Systematic Biology
Markov invariants, plethysms, and phylogenetics; Journal of Theoretical Biology
New branching rules induced by plethysm; Journal of Physics A: Mathematical and General
Path integral formulation and Feynman rules for phylogenetic branching models; Journal of Physics A: Mathematical and General
Resolution of the GL(3) O(3) state labelling problem via the O(3)-invariant Bethe subalgebra of the twisted Yangain; Journal of Physics A: Mathematical and General
The mixed two qutrit system: local unitary invariants, entanglement monotones, and the SLOCC group SL(3,C); Journal of Physics A
The mixed two-qubit system and the structure of its ring of local invariants; Journal of Physics A: Mathematical and Theoretical

Research Publications

A Base-Pairing Model of Duplex Formation. I. Watson-Crick Pairing Geometries; Biopolymers
A class of quadratic deformations of Lie superalgebras; Journal of Physics A: Mathematical and Theoretical
A generalised Baker-Campbell-Hausdorff formula with application to coset space parameterisation; Physics Letters A
A Hopf algebraic approach to the theory of group branchings; Symmetry, Spectroscopy and SCHUR
A Hopf laboratory for symmetric functions; Journal of Physics A-Mathematical and General
A kinematical approach to gravitational lensing using new formulae for refractive index and acceleration; Monthly Notices of the Royal Astronomical Society
A supersymmetric model for the evolution of the genetic code; Proceedings of the National Academy of Sciences of the United States of America
A tensorial approach to the inversion of group-based phylogenetic models; BMC Evolutionary Biology
Adventures in invariant theory; ANZIAM Journal
Algebraic inversion of the Dirac equation for the vector potential in the non-Abelian case; Journal of Physics A: Mathematical and Theoretical
An Algebraic Model of RNA Duplex Formation; Biopolymers
Axial anomalies by dimensional reduction; Journal of Physics G: Nuclear Physics
Axial anomalies in higher dimensions by dimensional continuation; Journal of Physics G: Nuclear Physics
Born Reciprocity and the Granularity of Spacetime; Foundations of Physics Letters
Born Reciprocity in Two Dimensions: Quaplectic Group Symmetry, Branching Rules and State Labelling; The Proceedings of the Festschrift in Honor of Bruce JH McKellar and Girish C Joshi
Bridging the World
Chord Diagrams and BPHZ Subtractions; Modern Physics Letters A
Codon and nucleotide assignments in a supersymmetric model of the genetic code; Physics Letters A
Concise Encyclopedia of Supersymmetry and noncommutative structures in mathematics and physics; Kluwer Academic Publishers
Conformal fluid dynamics; Nuclear Physics B
Constrained O(n) models from gauged internal OSp(n/2) via Becchi-Rouet-Stora supersymmetry; Physical Review D
Constraint quantization of a worldline system invariant under reciprocal relativity: II; Journal of Physics A: Mathematical and Theoretical
Covariance, correlation and entanglement; Journal of Physics A-Mathematical and General
Covariant scalar representation of iosp(d,2/2) and quantization of the scalar relativistic particle; Journal of Physics A
Covariant spinor representation of iosp(d, 2/2) and quantization of the spinning relativistic particle; Journal of Physics A-Mathematical and General
Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants; Journal of Mathematical Biology
Dimensional reduction and axial anomalies; Journal of Physics G: Nuclear Physics
Entanglement invariants and phylogenetic branching; Journal of Mathematical Biology
Erratum-Entanglement invariants and phylogenetic branching; Journal of Mathematical Biology
Exactly solvable three-level quantum dissipative systems via bosonization of fermion gas-impurity models; Journal of Physics A : Mathematical and Theoretical
Exotic Gauge Potential Representations and Ghost Counting Via Orthosymplectic Brs Supersymmetry; Journal of Physics A: Mathematical and General
Extended Becchi-Rouet-Stora invariance for gravity via local OSp(4/2) supersymmetry; Physical Review D
Extended BRS invariance and OSp (4/2) supersymmetry; Journal of Physics A: General Physics
Extended two-level quantum dissipative system from bosonization of the elliptic spin- Kondo model; Journal of Physics A: Mathematical and Theoretical
Fierz bilinear formulation of the Maxwell-Dirac equations and symmetry reductions; Annals of Physics
Gauge fixing of stringlike models via OSp(D/2); Modern Physics Letters A
Generalized Characteristic Identities and Applications; Confronting the Infinite
Generalized scalar particle quantization in 1+1 dimensions and D(2,1;?); Journal of Physics A: Mathematical and General
Grassmann coordinates and Lie algebras for unified models; Journal of Mathematical Physics
Gravitational contribution to the chiral anomaly in higher dimensions; Physics Letters B
Hidden supersymmetry-a 'no superpartner' theorem for representations of deformed conformal superalgebra; Journal of Physics A: Mathematical and Theoretical
Hopf algebras and characters of classical groups; Symmetry and Structural Properties of Condensed Matter
Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters; Journal of Physics A: Mathematical and Theoretical
Integrity bases for local invariants of composite quantum systems; Journal of Physics A: Mathematical and General
Invariants of mixed qubit systems; Symmetry, Spectroscopy and SCHUR
Is the general time-reversible model bad for molecular phylogenetics?; Systematic Biology
Lie Markov models; Journal of Theoretical Biology
Lie Markov models with purine/pyrimidine symmetry; Journal of Mathematical Biology
Lie Super-Algebraisation of BRST-BFV Covariant Quantization; Proceedings of the II International Workshop Lie Theory and Its Applications in Physics II
Local OSp(4/2) supersymmetry and extended BRS transformations for gravity; Physics Letters B
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
Matter fields and fermions in OSp(4/2) by dimensional reduction via supercoset space; Physics Letters B
Maximum likelihood estimates of pairwise rearrangement distances; Journal of Theoretical Biology
Maxwell-Dirac stress-energy tensor in terms of Fierz bilinear currents; Annals of Physics
Models for Fermion Generations Based on 5 Fermionic Coordinates; Australian Journal of Physics
Models for supersymmetric quantum-mechanics; Australian Journal of Physics
Modified relativity from the kappa-deformed Poincare algebra; Classical and Quantum Gravity
New branching rules induced by plethysm; Journal of Physics A: Mathematical and General
Off-shell kappa-symmetry of the superparticle and the spinning superparticle; Physics Letters B
On Associative Superalgebras of Matrices; Rocky Mountain Journal of Mathematics
On boson algebras as Hopf algebras; Journal of Physics A
On schizosymmetric superfields and sl(2/1, C)R supersymmetry; Journal of Physics A: Mathematical and General
On the structure of the observable algebra of QCD on the lattice; Journal of Physics A: Mathematical and General
Path integral formulation and Feynman rules for phylogenetic branching models; Journal of Physics A: Mathematical and General
Phylogenetic Invariants; Brenner's Encyclopedia of Genetics
Phylogenetic Invariants and Markov Invariants; Reference Module in Life Sciences
Plethysms, replicated Schur functions and series, with applications to vertex operators; Journal of Physics A:Mathematical and Theoretical
Plethystic vertex operators and boson-fermion correspondences; Journal of Physics A: Mathematical and Theoretical
Polynomial super-gl(n) algebras; Journal of Physics A: Mathematical and General
Projective representations of the inhomogeneous Hamilton group: Noninertial symmetry in quantum mechanics; Annals of Physics
Quantised gauge theory, dimensional reduction and OSp(4+NM/2) supersymmetry; Journal of Physics A: Mathematical and General
Quantum deformations and q-boson operators; Journal of Physics A: Mathematical and Theoretical
Quantum field theory and phylogenetic branching; Journal of Physics A: Mathematical and General
Quantum Physics Meets Biology: a Case Study; Preserving the Humboldt tradition of scholarship in Australia
Realizations of Physical Particle States Via Cohomologies: Algebraization of BRST-BFV Covariant Quantization; 5th Wigner Symposium
Regularized tripartite continuous variable EPR-type states with Wigner functions and CHSH violations; Journal of Physics A: Mathematical and Theoretical
Reports on Mathematical Physics; Reports on Mathematical Physics
Resolution of the GL(3) O(3) state labelling problem via the O(3)-invariant Bethe subalgebra of the twisted Yangain; Journal of Physics A: Mathematical and General
Review of article by Bougourzi, AH; Weston, RA entitled A free field representation of the screening currents of Uq(sl(3)); Mathematical Reviews
Review of article by Fuchs, J and Schweigert, C entitled Non-Hermitian symmetric N = 2 coset models, Poincare polynomials, and string compactification; Mathematical Reviews
Review of article by Gould, MD and Scheunert, M entitled Classification of finite-dimensional unitary irreps for Uq(gl(m/n)); Mathematical Reviews
Review of article by Mankoc-Borstnik, N entitled Spinors, vectors and scalars in Grassmann space and canonical quantization for fermions and bosons; Mathematical Reviews
Ribbon Hopf algebras from group character rings; Linear and Multilinear Algebra
Schizosymmetry - A new paradigm for superfield expansions; Modern Physics Letters A
Sp(2) Invariant BRST formalism, Supersymmetry and Wess-Zumino gauges; Modern Physics Letters A
Spectroscopy of the genetic code; Quantum Aspects Of Life
Supersymmetry in the Genetic Code; XXI International Colloquium on Group Theoretical Methods in Physics
Symmetric Functions, Tableaux Decompositions and the Fermion-Boson Correspondence; Mathematical and Computer Modelling
Symmetric Functions, Vertex Operators and Applications*; Yamada Conference XL XX International Colloquium on Group Theoretical Methods in Physics
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
The Dirichlet Hopf Algebra of Arithmetics; Journal of Knot Theory and Its Ramifications
The genetic code as a periodic table: algebraic aspects; Biosystems
The Hopf algebra structure of the character rings of classical groups; Journal of Physics A: Mathematical and Theoretical
The mixed two qutrit system: local unitary invariants, entanglement monotones, and the SLOCC group SL(3,C); Journal of Physics A
The mixed two-qubit system and the structure of its ring of local invariants; Journal of Physics A: Mathematical and Theoretical
The molecular asymmetric rigid rotor Hamiltonian as an exactly solvable model; Molecular Physics
Tunnelling of a Molecule; Australian Journal of Physics
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
World-line quantization of a reciprocally invariant system; Journal of Physics A: Mathematical and Theoretical

Research Projects

Algebraic Aspects of Renormalization; Australian Research Council (ARC)
Algebraic Aspects of the Genetic Code; University of Tasmania (UTAS)
Algebraic Structures in Mathematical Physics and their Applications; Australian Research Council (ARC)
Algebraically informed models of biological sequence evolution; Australian Research Council (ARC)
DNA-Protein Binding: Dependence of Binding Rate upon Local DNA Flexibility; University of Tasmania (UTAS)
Grassmann variables and unified models; Australian Research Council (ARC)
Infinite-Dimensional Algebras and Field Theory Applications; Australian Research Council (ARC)
Markov Invariants and Phylogenetic Tree Reconstruction; Australian Research Council (ARC)
Spacetime supersymmetries and particle classification; Australian Research Council (ARC)
Structure and Informatics of the Genetic Code; Australian Research Council (ARC)
Structure of the genetic code; Australian Research Council (ARC)
XXII ICGTMP - Group 22; Australian Agency for International Development (AusAID)

Research Candidate Supervision

A Kinematical Approach to Gravitational Lensing
A Modern Approach to Born Reciprocity
A Scattering Approach to Gravitational Lensing
An investigation of the Jacobson radical of epigroup graded rings
Characterising and Investigating the Semigroup Generated by Three-Arched Diagrams
Classical and Quantum non-linear supersymmetries biology
Clifford Algebras and Geometry of Entanglement
Entanglement and the Quantum-classical Transition
Entanglement, Invariants, and Phylogenetics
Group Invariant Solutions of the Yang-Mills Equations for Weak and Electroweak Interactions
Infinite -dimensional algebras in Mathematics and Physics
Multidimensional Phase Space
Nonlinear Superalgebras and Lattice Gauge Theory
On Group Invariant Solutions to the Maxwell Dirac Equations
Structural and Combinatorial Aspects of Graded Rings with Applications
Superalgebraisation of BFV-BRST Quantisation
The SuperHiggs Mechanism for Anticommuting Coordinates
Theoretical Physics
Universal Couplings in two body stong and electromagnetic Meson decays