Dr C. J. Ash has made notable discoveries in each of three separate areas of pure mathematics, namely universal algebra, semigroups and logic. His work is characterized by deep insight and technical virtuosity, leading to elegant and powerful solutions of central key problems which had previously been attacked, with only partial success, by many workers throughout the world. As a result his published papers are invariably of permanent importance and stimulate extensive further research and are greeted with great praise and enthusiasm.

Please contact fellowship@science.org.au to request any updates to the data.

Ian Hugh Sloan is noted for his contributions to numerical analysis and especially the study of the numerical solution of integral equations. He is best known, perhaps, for his work on the superconvergence properties of the so-called Galerkin method. He has contributed also to approximation theory and the numerical evaluation of high-dimensional multiple integrals. His mathematical results have physical applications picking up the theme of his early work on theoretical nuclear physics.

Please contact fellowship@science.org.au to request any updates to the data.

Michael George Cowling has established an international reputation in the field of harmonic analysis, particularly for his solution to the Kunze­Stein phenomenon, for his innovative use of imaginary powers of operators to prove pointwise convergence results, for his work with Uffe Haagerup on completely bounded multipliers of the von Neumann algebra of a semisimple Lie group of real rank one, and for his study of the asymptotic behaviour of oscillatory integrals. His work is characterised by a combination of the fine skills of a classical analysist with the penetrating insight of an abstract structuralist.

Please contact fellowship@science.org.au to request any updates to the data.

Roger Richardson is distinguished for his contributions to algebraic geometry, in particular to geometric problems involving Lie groups and algebraic groups. His work has been fundamental in the development of modern invariant theory and has received considerable international recognition.

Please contact fellowship@science.org.au to request any updates to the data.

Dr Hall has published two books and over one hundred papers in ten years. His achievements span probability and statistics and include influential contributions to martingale limit theory, rates of convergence, extreme value theory, density estimation and cross-­validation, coverage and other problems in geometric probability. Noteworthy is his work on rates of convergence in weak limit theorems for which he developed the "leading term approach". This leads to a description of rates of convergence on arbitrary sets and a precise account of rates of convergence of non-uniform metrics. Dr Hall has been awarded the Rollo Davidson Prize and the Australian Mathematical Society Medal.

Please contact fellowship@science.org.au to request any updates to the data.

Professor McIntosh has made outstanding contributions in the areas of functional analysis, harmonic analysis and partial differential equations. In recent years he has achieved considerable international fame through his resolution with Coifman and Meyer of the L2 boundedness of the Cauchy integral on Lipschitz curves. The latter work, which was listed in a report to the American Mathematical Society among three "recent dramatic examples" of "progress in theoretical mathematics", has itself spawned a great deal of contemporary research by McIntosh and other leading mathematicians.

Please contact fellowship@science.org.au to request any updates to the data.

Professor Seneta has made substantial contributions to the probability theory of Markov chains and in particular to the theory of discrete branching processes. His work here is widely recognised. He has also worked successfully on the application of the theory of stochastic processes to population genetics. His influence has been considerable through the development of certain mathematical tools for the study of Markov chains, namely the theory of infinite non-negative matrices and of regularly varying functions. His work on the history of probability and statistics has given him international recognition as a leading authority.

Please contact fellowship@science.org.au to request any updates to the data.

Dr. Osborne is internationally recognized as a leading research worker in the field of numerical analysis having produced a steady stream of original research of high quality in three major areas, the numerical solution of boundary value problems, minimum norm problems in approximation and mathematical programming. He has successfully developed general numerical techniques for solving systems of first order differential equations and separable partial differential equations in two independent variables. His work on numerical techniques for approximating functions defined by difference equations and on penalty and barrier function algorithms form a significant contribution to approximation and optimisation theory.

Please contact fellowship@science.org.au to request any updates to the data.

Professor Simon is well known for his work on minimal surfaces. For a period of 30-35 years very little development occurred in the theory of minimal surfaces; it was generally considered that the outstanding problems were too difficult to be dealt with by existing mathematical theories. During the 1960's, a new mathematical theory - called geometric measure theory - was introduced and developed by Fleming and Federer and it showed promise as a new tool for dealing with minimal surfaces. During the 1970's, ways were found by Simon, Almgren and others for applying the new geometric measure theory to minimal surfaces and many new results were obtained. Professor Simon has emerged as a world authority on minimal surfaces.

Please contact fellowship@science.org.au to request any updates to the data.

Professor Brent is a leading international researcher in the design and analysis of algorithms, the theory of computation, and numerical analysis. He is the author of widely used algorithms for optimisation, solution of nonlinear equations and systems, high-precision computation of special functions, pseudo-random number generation, factorisation, information retrieval and dynamic storage allocation. His notable theoretical results include area-time bounds for digital (VLSI) circuits, and bounds on the complexity of algorithms for power series, Toeplitz systems and nonlinear equations. In the area of mathematics, he has achieved striking computational results on the distribution of primes and on zeros of the Riemann zeta-function.

Please contact fellowship@science.org.au to request any updates to the data.