ORCID Profile
0000-0002-6141-9329
Current Organisation
University of New England
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Research Topics
In Research Link Australia (RLA), "Research Topics" refer to ANZSRC FOR and SEO codes. These topics are either sourced from ANZSRC FOR and SEO codes listed in researchers' related grants or generated by a large language model (LLM) based on their publications.
Top 5 Research Topics
ANZSRC Field of Research (FoR)
Pure Mathematics | Functions Of Several Complex Variables | Lie Groups, Harmonic and Fourier Analysis | Geometry | Real and Complex Functions (incl. Several Variables) | Group Theory And Generalisations (Incl. Topological Groups And Lie | Algebraic and Differential Geometry
ANZSRC Socio-Economic Objective (SEO)
Computer software and services not elsewhere classified | Expanding Knowledge in the Mathematical Sciences | Physical sciences | Mathematical sciences |
Related Links
Publications
Dynamics of Local Automorphisms of Embedded CR-Manifolds
Publisher: Springer Science and Business Media LLC
Date: 09-2004
Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description
Publisher: Springer Science and Business Media LLC
Date: 09-2001
DOI: 10.1007/BF02922014
Free CR distributions
Publisher: Walter de Gruyter GmbH
Date: 05-07-2012
Singular multicontact structures
Publisher: Elsevier BV
Date: 11-2016
Normal form and two-dimensional chains of an elliptic CR manifold in ℂ4
Publisher: Springer Science and Business Media LLC
Date: 12-1996
DOI: 10.1007/BF02921621
Solution of the $$\bar \partial $$ -Equation with uniform estimates on strictlyq-convex domains with non-smooth boundary
Publisher: Springer Science and Business Media LLC
Date: 09-1989
DOI: 10.1007/BF01159970
Meta-analyses identify DNA methylation associated with kidney function and damage
Publisher: Springer Science and Business Media LLC
Date: 09-12-2021
DOI: 10.1038/S41467-021-27234-3
Abstract: Chronic kidney disease is a major public health burden. Elevated urinary albumin-to-creatinine ratio is a measure of kidney damage, and used to diagnose and stage chronic kidney disease. To extend the knowledge on regulatory mechanisms related to kidney function and disease, we conducted a blood-based epigenome-wide association study for estimated glomerular filtration rate (n = 33,605) and urinary albumin-to-creatinine ratio (n = 15,068) and detected 69 and seven CpG sites where DNA methylation was associated with the respective trait. The majority of these findings showed directionally consistent associations with the respective clinical outcomes chronic kidney disease and moderately increased albuminuria. Associations of DNA methylation with kidney function, such as CpGs at JAZF1 , PELI1 and CHD2 were validated in kidney tissue. Methylation at PHRF1 , LDB2 , CSRNP1 and IRF5 indicated causal effects on kidney function. Enrichment analyses revealed pathways related to hemostasis and blood cell migration for estimated glomerular filtration rate, and immune cell activation and response for urinary albumin-to-creatinineratio-associated CpGs.
Epigenome-wide association study of serum urate reveals insights into urate co-regulation and the SLC2A9 locus
Publisher: Springer Science and Business Media LLC
Date: 09-12-2021
DOI: 10.1038/S41467-021-27198-4
Abstract: Elevated serum urate levels, a complex trait and major risk factor for incident gout, are correlated with cardiometabolic traits via incompletely understood mechanisms. DNA methylation in whole blood captures genetic and environmental influences and is assessed in transethnic meta-analysis of epigenome-wide association studies (EWAS) of serum urate (discovery, n = 12,474, replication, n = 5522). The 100 replicated, epigenome-wide significant ( p 1.1E–7) CpGs explain 11.6% of the serum urate variance. At SLC2A9 , the serum urate locus with the largest effect in genome-wide association studies (GWAS), five CpGs are associated with SLC2A9 gene expression. Four CpGs at SLC2A9 have significant causal effects on serum urate levels and/or gout, and two of these partly mediate the effects of urate-associated GWAS variants. In other genes, including SLC7A11 and PHGDH , 17 urate-associated CpGs are associated with conditions defining metabolic syndrome, suggesting that these CpGs may represent a blood DNA methylation signature of cardiometabolic risk factors. This study demonstrates that EWAS can provide new insights into GWAS loci and the correlation of serum urate with other complex traits.
Duality between noise and spatial resolution in linear systems
Publisher: The Optical Society
Date: 07-04-2014
DOI: 10.1364/OE.22.009087
Symmetry algebra for multi-contact structures given by 2n vector fields on $$\mathbb R^{2n+1}$$
Publisher: Springer Science and Business Media LLC
Date: 29-01-2008
Explicit description of spherical rigid hypersurfaces in C 2
Publisher: Springer Science and Business Media LLC
Date: 03-06-2015
The zero curvature equation for rigid CR-manifolds
Publisher: Informa UK Limited
Date: 15-11-2016
Spherical rigid hypersurfaces in C^2
Publisher: Elsevier BV
Date: 03-2014
Genetic loci and prioritization of genes for kidney function decline derived from a meta-analysis of 62 longitudinal genome-wide association studies
Publisher: Elsevier BV
Date: 09-2022
DOI: 10.1016/J.KINT.2022.05.021
Abstract: Estimated glomerular filtration rate (eGFR) reflects kidney function. Progressive eGFR-decline can lead to kidney failure, necessitating dialysis or transplantation. Hundreds of loci from genome-wide association studies (GWAS) for eGFR help explain population cross section variability. Since the contribution of these or other loci to eGFR-decline remains largely unknown, we derived GWAS for annual eGFR-decline and meta-analyzed 62 longitudinal studies with eGFR assessed twice over time in all 343,339 in iduals and in high-risk groups. We also explored different covariate adjustment. Twelve genome-wide significant independent variants for eGFR-decline unadjusted or adjusted for eGFR-baseline (11 novel, one known for this phenotype), including nine variants robustly associated across models were identified. All loci for eGFR-decline were known for cross-sectional eGFR and thus distinguished a subgroup of eGFR loci. Seven of the nine variants showed variant-by-age interaction on eGFR cross section (further about 350,000 in iduals), which linked genetic associations for eGFR-decline with age-dependency of genetic cross-section associations. Clinically important were two to four-fold greater genetic effects on eGFR-decline in high-risk subgroups. Five variants associated also with chronic kidney disease progression mapped to genes with functional in-silico evidence (UMOD, SPATA7, GALNTL5, TPPP). An unfavorable versus favorable nine-variant genetic profile showed increased risk odds ratios of 1.35 for kidney failure (95% confidence intervals 1.03-1.77) and 1.27 for acute kidney injury (95% confidence intervals 1.08-1.50) in over 2000 cases each, with matched controls). Thus, we provide a large data resource, genetic loci, and prioritized genes for kidney function decline, which help inform drug development pipelines revealing important insights into the age-dependency of kidney function genetics.
On the generalization of Forelli’s theorem
Publisher: Springer Science and Business Media LLC
Date: 14-08-2015
Простое доказательство теоремы Белошапки о параметризации группы автоморфизмов CR-многообразий
Publisher: Steklov Mathematical Institute
Date: 1997
DOI: 10.4213/MZM1578
Deterministic Bragg Coherent Diffraction Imaging
Publisher: Springer Science and Business Media LLC
Date: 25-04-2017
DOI: 10.1038/S41598-017-01164-X
Abstract: A deterministic variant of Bragg Coherent Diffraction Imaging is introduced in its kinematical approximation, for X-ray scattering from an imperfect crystal whose imperfections span no more than half of the volume of the crystal. This approach provides a unique analytical reconstruction of the object’s structure factor and displacement fields from the 3D diffracted intensity distribution centred around any particular reciprocal lattice vector. The simple closed-form reconstruction algorithm, which requires only one multiplication and one Fourier transformation, is not restricted by assumptions of smallness of the displacement field. The algorithm performs well in simulations incorporating a variety of conditions, including both realistic levels of noise and departures from ideality in the reference (i.e. imperfection-free) part of the crystal.
An uncertainty inequality
Publisher: Elsevier BV
Date: 12-2014
Poincaré automorphisms for nondegenerate CR quadrics
Publisher: Springer Science and Business Media LLC
Date: 1994
DOI: 10.1007/BF01459726
On the derivation of the Green’s function for the Helmholtz equation using generalized functions
Publisher: American Association of Physics Teachers (AAPT)
Date: 12-01-2010
DOI: 10.1119/1.3253655
Abstract: A method for constructing the Green’s function for the Helmholtz equation in free space subject to Sommerfeld radiation conditions is presented. Unlike the methods found in many textbooks, the present technique allows us to obtain all of the possible Green’s functions before selecting the one that satisfies the choice of boundary conditions.
Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ℂ4
Publisher: Springer Berlin Heidelberg
Date: 2003
Functions Holomorphic along Holomorphic Vector Fields
Publisher: Springer Science and Business Media LLC
Date: 14-03-2009
CR-Geometry and Shearfree Lorentzian Geometry
Publisher: Springer Singapore
Date: 2018
Degenerate hypersurfaces with a two-parametric family of automorphisms
Publisher: Informa UK Limited
Date: 03-2009
On the classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions
Publisher: Elsevier BV
Date: 04-2020
Elliptic CR-manifolds and shear invariant ordinary differential equations with additional symmetries
Publisher: International Press of Boston
Date: 10-2007
Explicit construction of a Chern–Moser connection for CR manifolds of codimension two
Publisher: Springer Science and Business Media LLC
Date: 29-09-2005
Vitushkin's germ theorem for engel-type CR manifolds
Publisher: Pleiades Publishing Ltd
Date: 07-2006
Canonical Cartan connection and holomorphic invariants on Engel CR manifolds
Publisher: Pleiades Publishing Ltd
Date: 06-2007
Динамика локальных автоморфизмов вложенных CR-многообразий
Publisher: Steklov Mathematical Institute
Date: 2004
DOI: 10.4213/MZM575
Normal forms of para-CR hypersurfaces
Publisher: Elsevier BV
Date: 06-2017
Uniqueness Theorems for CR Functions
Publisher: Wiley
Date: 1992
A criterion for local embeddability of three-dimensional CR structures
Publisher: Springer Science and Business Media LLC
Date: 10-08-2018
Holomorphic automorphisms of quadrics
Publisher: Springer Science and Business Media LLC
Date: 05-1994
DOI: 10.1007/BF02572334
CR embeddings of CR manifolds
Publisher: Springer Science and Business Media LLC
Date: 15-07-2022
DOI: 10.1007/S10231-022-01241-7
Abstract: We improve results of Baouendi, Rothschild and Treves and of Hill and Nacinovich by finding a much weaker sufficient condition for a CR manifold of type ( n , k ) to admit a local CR embedding into a CR manifold of type $$(n+\\ell ,k-\\ell )$$ ( n + ℓ , k - ℓ ) . While their results require the existence of a finite dimensional solvable transverse Lie algebra of vector fields, we require only a finite dimensional extension.
Addendum to “The geometry of hyperbolic and elliptic CR-manifolds of codimension two”, <i>Asian J. Math.</i>, 4, 565–598, 2000
Publisher: International Press of Boston
Date: 2003
A generalization of Forelli’s theorem
Publisher: Springer Science and Business Media LLC
Date: 31-05-2012
A Non-linear Relation for Certain Hypergeometric Functions
Publisher: Springer International Publishing
Date: 2020
Non-linearizable CR-automorphisms, torsion-free elliptic CR-manifolds and second order ODE
Publisher: Walter de Gruyter GmbH
Date: 07-2005
Normal forms and symmetries of real hypersurfaces of finite type in C^2.
Publisher: Indiana University Mathematics Journal
Date: 2013
Holomorphic classification of four-dimensional surfaces in $ \mathbb C^3$
Publisher: Steklov Mathematical Institute
Date: 19-06-2008
Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry
Publisher: Elsevier BV
Date: 04-2021
On the classification of -dimensional spherical Sasakian manifolds
Publisher: Steklov Mathematical Institute
Date: 06-2021
DOI: 10.1070/IM9046
Abstract: In this article we regard spherical hypersurfaces in with a fixed Reeb vector field as -dimensional Sasakian manifolds. We establish a correspondence between three different sets of parameters, namely, those arising from representing the Reeb vector field as an automorphism of the Heisenberg sphere, those used in Stanton’s description of rigid spheres, and those arising from the rigid normal forms. We also describe geometrically the moduli space for rigid spheres and provide a geometric distinction between Stanton hypersurfaces and those found in [1]. Finally, we determine the Sasakian automorphism groups of rigid spheres and detect the homogeneous Sasakian manifolds among them.
Каноническая форма многочлена четвертой степени в нормальном уравнении вещественной гиперповерхности в $\mathbb C^3$
Publisher: Steklov Mathematical Institute
Date: 1999
DOI: 10.4213/MZM1203
Голоморфная классификация четырехмерных поверхностей в $\mathbb C^3$
Publisher: Steklov Mathematical Institute
Date: 2008
DOI: 10.4213/IM696
Rigid Embeddings of Sasakian Hyperquadrics in $$\mathbb {C}^{n+1}$$
Publisher: Springer Science and Business Media LLC
Date: 24-07-2017
CR-manifolds of Codimension Two of Parabolic Type
Publisher: Indiana University Mathematics Journal
Date: 2008
Minimum principle for bounded holomorphic functions in many-dimensional domains
Publisher: Springer Science and Business Media LLC
Date: 10-1991
DOI: 10.1007/BF01137743
Related Organisations
Moskovskij Gosudarstvennyj Universitet Imeni M V Lomonosova Mehaniko-matematiceskij Fakul'tet
Location: Russian Federation
Berlin-Brandenburgische Akademie Der Wissenschaften
Location: Germany
Related Funding Activities
(Symmetries In Real And Complex Geometry)
Start Date: 2013
End Date: 2015
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP0450725
Start Date: 2004
End Date: 12-2006
Amount: $165,000.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP130103485
Start Date: 2013
End Date: 12-2018
Amount: $258,000.00
Funder: Australian Research Council
View Funded Activity