ORCID Profile
0000-0002-8361-6876
Current Organisation
University of New South Wales
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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)
Optimisation | Numerical and Computational Mathematics | Analysis of Algorithms and Complexity | Operator Algebras and Functional Analysis | Applied Mathematics | Operations Research | Approximation Theory and Asymptotic Methods |
ANZSRC Socio-Economic Objective (SEO)
Expanding Knowledge in the Mathematical Sciences | Application Software Packages (excl. Computer Games) | Technological and Organisational Innovation
Related Links
Publications
Invisibility in billiards
Publisher: IOP Publishing
Date: 04-02-2011
Relationships between upper exhausters and the basic subdifferential in variational analysis
Publisher: Elsevier BV
Date: 10-2007
Exhausters and subdifferentials in non-smooth analysis
Publisher: Informa UK Limited
Date: 02-2008
A variant in the MICA gene is associated with liver fibrosis progression in chronic hepatitis C through TGF-β1 dependent mechanisms
Publisher: Springer Science and Business Media LLC
Date: 05-02-2019
DOI: 10.1038/S41598-018-35736-2
Abstract: Hepatocarcinogenesis is tightly linked to liver fibrosis. Recently, two GWAS variants, MICA rs2596542 and DEPDC5 rs1012068 were identified as being associated with the development of HCV-induced hepatocellular carcinoma (HCC) in Japanese patients. The role of these variants on hepatic inflammation and fibrosis that are closely associated with HCC development is not known, nor are the biological mechanisms underlying their impact on the liver. Here, we demonstrate in 1689 patients with chronic hepatitis C (CHC) (1,501 with CHC and 188 with HCV-related HCC), that the MICA (T) allele, despite not being associated with HCC susceptibility, is associated with increased fibrosis stage (OR: 1.47, 95% CI: 1.05–2.06, p = 0.02) and fibrosis progression rate (hazards ratio: 1.41, 95% CI: 1.04–1.90, p = 0.02). The DEPDC5 variant was not associated with any of these phenotypes. MICA expression was down-regulated in advanced fibrosis stages. Further, (T) allele carriage was associated with lower MICA expression in liver and serum. Transforming growth factor-β1 (TGF-β1) expression suppresses MICA expression in hepatic stellate cells. Our findings suggest a novel mechanism linking susceptibility to advanced fibrosis and subsequently indirectly to HCC, to the level of MICA expression through TGF-β1-dependent mechanisms.
A complementarity partition theorem for multifold conic systems
Publisher: Springer Science and Business Media LLC
Date: 10-07-2012
From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules
Publisher: Springer Science and Business Media LLC
Date: 13-04-2016
Invisibility in Billiards is Impossible in an Infinite Number of Directions
Publisher: Springer Science and Business Media LLC
Date: 02-05-2019
Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2010
DOI: 10.1137/100786733
Facially Dual Complete (Nice) Cones and Lexicographic Tangents
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2019
DOI: 10.1137/17M1126643
Exact calculus of Fréchet subdifferentials for Hadamard directionally differentiable functions
Publisher: Elsevier BV
Date: 08-2008
Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure
Publisher: Springer Science and Business Media LLC
Date: 18-09-2013
Fast computation of zeros of polynomial systems with bounded degree under finite-precision
Publisher: American Mathematical Society (AMS)
Date: 10-09-2013
DOI: 10.1090/S0025-5718-2013-02765-2
Abstract: A solution for Smale’s 17th problem, for the case of systems with bounded degree was recently given. This solution, an algorithm computing approximate zeros of complex polynomial systems in average polynomial time, assumed infinite precision. In this paper we describe a finite-precision version of this algorithm. Our main result shows that this version works within the same time bounds and requires a precision which, on the average, amounts to a polynomial amount of bits in the mantissa of the intervening floating-point numbers.
Refining the partition for multifold conic optimization problems
Publisher: Informa UK Limited
Date: 21-10-2020
On Local Coincidence of a Convex Set and its Tangent Cone
Publisher: Springer Science and Business Media LLC
Date: 23-05-2014
A Data-Independent Distance to Infeasibility for Linear Conic Systems
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2020
DOI: 10.1137/18M1189464
Bodies with mirror surface invisible from two points
Publisher: IOP Publishing
Date: 07-05-2014
Facially Exposed Cones Are Not Always Nice
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2014
DOI: 10.1137/130922069
Optimality conditions in terms of upper and lower exhausters
Publisher: Informa UK Limited
Date: 10-2006
Outer limits of subdifferentials for min–max type functions
Publisher: Informa UK Limited
Date: 09-11-2017
Fractal bodies invisible in 2 and 3 directions
Publisher: American Institute of Mathematical Sciences (AIMS)
Date: 2013
On Finiteness in the Card Game of War
Publisher: Informa UK Limited
Date: 2012
On the Structure of Higher Order Voronoi Cells
Publisher: Springer Science and Business Media LLC
Date: 11-07-2019
Some preconditioners for systems of linear inequalities
Publisher: Springer Science and Business Media LLC
Date: 09-01-2014
A counterexample to De Pierro's conjecture on the convergence of under-relaxed cyclic projections
Publisher: Informa UK Limited
Date: 04-06-2018
Generalized subdifferentials and exhausters in nonsmooth analysis
Publisher: Pleiades Publishing Ltd
Date: 10-2007
Solving second-order conic systems with variable precision
Publisher: Springer Science and Business Media LLC
Date: 06-03-2014
Reducing Exhausters
Publisher: Springer Science and Business Media LLC
Date: 12-2007
The Demyanov–Ryabova conjecture is false
Publisher: Springer Science and Business Media LLC
Date: 12-07-2018
A new class of quasi-Newton updating formulas
Publisher: Informa UK Limited
Date: 04-2008
The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I: Definition and examples
Publisher: Elsevier BV
Date: 02-2012
The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces
Publisher: Springer Science and Business Media LLC
Date: 05-04-2023
Mordukhovich subdifferential of pointwise minimum of approximate convex functions
Publisher: Informa UK Limited
Date: 02-2010
Round-off estimates for second-order conic feasibility problems
Publisher: Elsevier BV
Date: 06-2012
Hyperbolicity cones are amenable
Publisher: Springer Science and Business Media LLC
Date: 08-04-2023
DOI: 10.1007/S10107-023-01958-0
Abstract: Amenability is a notion of facial exposedness for convex cones that is stronger than being facially dual complete (or ‘nice’) which is, in turn, stronger than merely being facially exposed. Hyperbolicity cones are a family of algebraically structured closed convex cones that contain all spectrahedral cones (linear sections of positive semidefinite cones) as special cases. It is known that all spectrahedral cones are amenable. We establish that all hyperbolicity cones are amenable. As part of the argument, we show that any face of a hyperbolicity cone is a hyperbolicity cone. As a corollary, we show that the intersection of two hyperbolicity cones, not necessarily sharing a common relative interior point, is a hyperbolicity cone.
Amenable Cones Are Particularly Nice
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 09-2022
DOI: 10.1137/20M138466X
Variational Analysis Down Under Open Problem Session
Publisher: Springer Science and Business Media LLC
Date: 26-09-2018
Exhausters, optimality conditions and related problems
Publisher: Springer Science and Business Media LLC
Date: 07-07-2007
The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II: Calculus
Publisher: Elsevier BV
Date: 02-2012
On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions
Publisher: Springer New York
Date: 2010
Related Organisations
Related Funding Activities
Geometry And Conditioning In Structured Conic Problems
Start Date: 2015
End Date: 2018
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP200100124
Start Date: 2022
End Date: 12-2024
Amount: $120,000.00
Funder: Australian Research Council
View Funded ActivityDiscovery Early Career Researcher Award - Grant ID: DE150100240
Start Date: 06-2015
End Date: 06-2019
Amount: $315,000.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP180100602
Start Date: 08-2018
End Date: 12-2023
Amount: $362,045.00
Funder: Australian Research Council
View Funded Activity