Andrew Eberhard

Professor Andrew Eberhard is Deputy Head – Mathematics and Statistics at RMIT University; Program Leader, Platform Technology Research Institute (Information and Networks); and the Director of the Australian Mathematical Sciences Institute, 2016 Summer School.

Professor Eberhard is an expert in the study of convergence and the approximation of convex and other nonlinear functions. This includes the study of the effect that approximations have on the differential and duality properties of optimization problems based on these functions. He has a broad interest in optimization theory and algorithms working in both continuous, nonsmooth optimization as well as integer programming.

Professor Eberhard has applied theory that he has developed to many applications, including control theory, nonsmooth optimality conditions, the theory of viscosity solutions of elliptic partial differential equations and the theory of optimization algorithms of various types. He has also used these methods to study the best fit problem for utility functions based on observations of a consumer's revealed preferences.

Professor Eberhard has also pioneered the use of various geometric structures from generalized convexity in nonsmooth analysis. Such methods have also proven very useful in the development of theories in second-order nonsmooth analysis and its application to optimization.

He has experience in the application of duality theory to the reformulation and solution of optimization problems. Recently, these techniques have provided a theory to explain and improve the Feasibility Pump for Mixed Integer Programming. Techniques for convex and functional analysis have also been exploited to great effect in obtaining qualitative and quantitative information for control design and signal processing problems. Professor Eberhard has an interest in monotone operator theory and convex analysis.


Industry Experience:
Professional interests and links to industry
• Access Grid Room Coordinator at RMIT
• Chair of the Access Grid Steering Committee of the Australian Mathematical Sciences Institute (AMSI)
• Reviewer for AMS Mathematical Reviews

Accomplishments and achievements:
• Invited speaker, Australian-Chinese workshops on optimisation, Ballarat University, 2004, 2009, 2010 and 2013
• Program Leader, Platform Technologies Research Institute (Information and Networks), 2012 – present
• Plenary Speaker, ANZIAM, Warrnambool, Victoria, 2012
• Deputy Director, Australian Mathematical Sciences Institute, 2010–2012
• Visiting Professor, University of Perpignan, France, 2010
• Invited teacher AMSI Summer Schools, 2004 and 2006
• Visiting Professor, Dalhousie University, Halifax, Nova Scotia, Canada, 2005
• Visiting Professor, Blaise Pascal University, Clermont-Ferrand, France, 1999
• Invited speaker, "Nonlinear Dynamics and Optimization" session at the joint meeting of the American and Australian Mathematical Societies, Melbourne, 12–16 July 1999