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Jonathan H. Manton


Affiliations
Biography
Activities
Opportunities
致中國學者和學生
Postal: Professor Jonathan H. Manton
Department of Electrical and Electronic Engineering
The University of Melbourne
Victoria 3010
Australia
Work: +61 3 8344 4972
Mobile: +61 4 0171 4410
Photograph of Jonathan Manton

Affiliations

Current

Recent


Brief Biography

Professor Manton received his Bachelor of Science (mathematics) and Bachelor of Engineering (electrical) degrees in 1995 and his Ph.D. degree in 1998, all from the University of Melbourne, Australia. From 1998 to 2004, he was with the Department of Electrical and Electronic Engineering at the University of Melbourne. During that time, he held a Postdoctoral Research Fellowship then subsequently a Queen Elizabeth II Fellowship, both from the Australian Research Council. In 2005 he became a full Professor in the Department of Information Engineering, Research School of Information Sciences and Engineering (RSISE) at the Australian National University. From July 2006 till May 2008, he was on secondment to the Australian Research Council as Executive Director, Mathematics, Information and Communication Sciences. Currently, he holds a distinguished Chair at the University of Melbourne with the title Future Generation Professor. He is also an Adjunct Professor in the Mathematical Sciences Institute at the Australian National University. Professor Manton's traditional research interests range from pure mathematics (e.g. commutative algebra, algebraic geometry, differential geometry) to engineering (e.g. signal processing, wireless communications). Recently though, led by a desire to participate in the convergence of the life sciences and the mathematical sciences, he has commenced learning neuroscience. Professor Manton also has extensive experience in software development.

Professor Manton has served recently as an Associate Editor for IEEE Transactions on Signal Processing, a Committee Member for IEEE Signal Processing for Communications (SPCOM) Technical Committee, and a Committee Member on the Mathematics Panel for the ACT Board of Senior Secondary Studies in Australia.


Current Activities

I am currently involved in the following activities.

CONECT — Centre of Neuro-Engineering and Computation

The research centre CONECT, once established, will engineer novel interfaces to neuronal circuitry and will investigate fundamental properties of how neuronal circuitry functions and computes. Put simply, the aim is to talk with networks of neurons to figure out how they work and how to interact with them in useful ways. Research will also be carried out into the theoretical limits of computation and, where related to these activities, novel methods for artificial computation will be developed.

Research Themes

The centre has three themes which build on each other and are ultimately aimed at understanding how the brain works and how engineers can design better algorithms and build better devices for computation.
Interfacing to Neuronal Circuitry
Leading-edge electrical and optical interfaces to networks of neurons will be engineered. These interfaces will allow, among other things, neuronal circuitry to be externally stimulated in a controlled way and the response recorded in real-time.

Understanding How the Brain Computes
Via practical experiments, theoretical modelling, computer simulations and analytical reasoning, the fundamental mechanics of how networks of neurons compute will be investigated.

Furthering the Theory of Computation
Advances in computational complexity theory will be made, including studying novel but pertinent questions such as what is the minimum energy required to perform the control-related calculations required to keep people upright when they walk. Alternative architectures for computation will be studied and used to formulate hypotheses about how the brain computes.

Outcomes

The anticipated outcomes of the centre divide into core outcomes and related outcomes. Related outcomes are those which result from work done partially by the centre but fall outside the centre's core activities. For example, the research conducted by the centre will benefit prostheses manufacturers, yet the development of better prostheses falls outside the centre's core activities, hence better prostheses is a related outcome.

The anticipated core outcomes of the centre include: The anticipated related outcomes of the centre include:

Computation: How does Nature compute and how should we?

This initiative aims to facilitate cross-disciplinary research activites in the life sciences and the mathematical sciences. The unifying theme of "computation" was chosen because, when interpreted in its broadest sense, it includes biophysics, computational biology, computational neuroscience, systems biology and so forth, in addition to the mathematical, statistical and engineering disciplines of complexity theory, control, optimisation, signal processing and so forth. In August 2008, an expression of interest document was drafted and is available here. Further information will be provided in the near future.

Research Areas

Computational Neuroscience

The ultimate goal is to discover how networks of neurons compute. A current project, in collaboration with Assoc. Prof. Christian Stricker, is to model accurately the short-term plasticity in synaptic transmissions in order to gain a better understanding of inter-cellular communications.

Geometric Computation (Control, Optimisation and Signal Processing)

Geometry provides a systematic approach to non-linear problems in signal processing which traditionally have been treated using ad hoc techniques. Similarly, optimisation and stochastic filtering problems on curved spaces are best approached from a differential geometric perspective. Algebraic geometry becomes relevant when the problem contains polynomial equations or polynomial constraints. Current projects in this area include non-linear filtering on Lie groups, and optimisation on manifolds and algebraic sets.

Algebraic and Differential Geometry

In pure mathematics, one current area of study, undertaken in collaboration with Professor Amnon Neeman, is the K-Theory of Triangulated Categories. The other current area of study is centred on the Jacobian Conjecture.

Coding and Information Theory

In wireless communications, for example, the received signal rarely bears a resemblance to the transmitted signal. The challenge is to design matched encoding and decoding schemes to enable reliable communications to take place over noisy, unreliable channels. One project in this area is the development of computer-assisted coding schemes for communications over multi-path fading channels. Another project is concerned with the well-studied SIMO channel identification problem and aims to find new techniques for better estimating the channel without a significant increase in the complexity of the algorithm.

Opportunities

Students

If you wish to study for your Masters or PhD under my supervision, please apply to the University of Melbourne and list my name as a potential supervisor on the application form. The Faculty of Engineering has general information about research degrees in Engineering and study at Melbourne University.

International students do not need to apply separately for scholarships, however, if you wish to apply the deadline for scholarship applications each year is 31 August for International students. Scholarships and other information is available here. In order to gain a place at The University of Melbourne you must meet the language requirements.

Visitors

Academics wishing to visit are invited to make contact. Recent international visitors include Assoc. Prof. Shiro Ikeda and Dr Nicolas Le Bihan.

Industry Partners

Companies requiring specialised software to be written, or who are interested in research collaboration or consultation in the general areas of control, systems engineering, signal processing, optimisation or filtering, are welcome to send a description of their interests or needs. There are funding opportunities available for companies wishing to collaborate on research projects.

致中國學者和學生

我非常熱誠的期待並致力於和來自中國大陸以及香港, 澳門, 台灣地區的學者, 學術機構進行交流與合作. 如果您有如下需要, 請與我聯繫: 我們鼓勵來自中國的學生和學者申請中國政府以及港澳台當地政府的資金支持, 比如中國國家自然科學基金會, 中國國家留學基金會等的各種經費. 如果需要申請澳洲政府和大學的研究資金, 也可與我聯繫. 本人也有一定的科研經費, 以資助優秀的研究人員開展合作研究.