ERA 2015 Mathematics, Information and Computing Sciences (MIC)
- Professor Leon Sterling - REC Chair for ERA 2015
- Professor Deborah Bunker
- Professor Edward Norman Dancer
- Professor Pierre Del Moral
- Professor Graham Farr
- Professor Andrew Francis
- Professor David Green
- Professor Jane Hunter
- Professor Michael Papazoglou
- Professor Jacqui Ramagge
- Professor Paul Roe
- Professor Igor Shparlinski
- Professor Markus Stumptner
- Professor Kok Lay Teo
- Professor Alan Welsh
- Professor Yun Yang
REC Chair for ERA 2015 Mathematics, Information and Computing Sciences (MIC)
Professor Leon Sterling is Pro Vice-Chancellor (Digital Frontiers). He is responsible for the advancement of teaching and research capacity in information and communication technology areas across Swinburne.
Professor Sterling received a BSc(Hons) from the University of Melbourne and a PhD in Pure Mathematics from the Australian National University. He has worked at universities in the UK, Israel, the US, and Australia.
Professor Sterling's teaching and research specialties are software engineering, artificial intelligence, and logic programming.
Prior to his appointment at Swinburne University, he was Professor of Software Innovation and Engineering and Director of e-Research at the University of Melbourne, and Dean of the Faculty of Information and Communication Technologies at Swinburne. Professor Sterling is immediate Past-President of the Australian Council of Deans of ICT.
- evidence-driven decision support systems for the biomedical and environmental domains
- ontologies to link adaptive management policies to activities and indicators, derived from monitoring spatio-temporal data
- statistical analysis, 3/4 D visualizations and annotation of cultural heritage, social sciences and hydro-geological datasets.
Jacqui Ramagge is a Professor of Mathematics at the University of Sydney and a Fellow of the Australian Mathematical Society.
Professor Ramagge has a PhD in Mathematics from the University of Warwick in the UK. She moved to Australia in 1991 and has previously worked at the University of New South Wales, the University of Newcastle, and the University of Wollongong. She was Head of the School of Mathematics and Applied Statistics at the University of Wollongong for the four years until 2013, and is the incoming Head of School of Mathematics and Statistics at the University of Sydney.
Professor Ramagge served on the ARC College 2010-2012 and on the ARC Australian Laureate Fellowships Selection Advisory Committee 2012-2014. She reviews grants for international bodies equivalent to the ARC and is an editor of the Lecture Series of the AustMS. She is actively engaged in outreach and has served in an advisory role to both the Australian Mathematical Sciences Institute and the Australian Curriculum, Assessment and Reporting Authority.
Professor Ramagge has broad interests across mathematics and its applications. She has published in group theory, functional analysis, operator algebras, nonlinear control theory, and applied statistics. Professor Ramagge’s current major projects are on: the general structure theory of totally disconnected, locally compact groups; the study of self-similar actions; and the study of states on operator algebras.
- Bounds of Gaussian sums beyond the limits of the Weil bound;
- A positive resolution of Erdos-Graham Conjecture or representation of residue classes by bounded length sums of reciprocals of small integers;
- A series of results about vanishing and distribution of Fermat quotients;
- A positive resolution of two Holden--Moree conjectures on fixed points of the discrete logarithm with further applications to pseudopowers, digits of rational fractions, etc.
- Statistical results on elliptic curves with prescribed properties in various families.
- These results rely on a broad scope of different techniques and approaches including
- Methods of analytic number theory: Vinogradov’s Mean Value Theorem; bounds of short exponential and character sums;
- Methods of additive combinatorics: Sum-product Theorems and its generalisations;
- Sieve methods and results on smooth numbers: large sieve, Brun-Titchmarsh inequality;
- Effective algebraic and arithmetic geometry results: Hilbert's Nullstellensatz, theory of heights, Bombieri-Pila bound, Subspace Theorem.
- Polynomial factorization and finding irreducible and primitive polynomials in finite fields
- The uniformity of distribution of RSA, Blum-Blum-Shub, and Naor-Reingold pseudo-random number generators and their elliptic curve analogues;
- Bit security of the Diffie-Hellman key;
- Algorithms to attacks DSA and similar signature schemes.
Content Last Modified: 22/10/15