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AREAS OF SPECIALISATION Mathematical sciences • Analysis • Applied mathematics • Category theory • Number theory Statistics • Biostatistics • Computational statistics • Financial modelling • Signal and image processing FACILITIES • Macquarie runs a small supercomputer based on Nvidia Tesla boards RESEARCH HUB • Centre of Australian Category Theory From research into the security of e-passport systems and the design of randomised clinical trials to arithmetical properties of musical rhythms and risk management in electricity markets, Macquarie’s mathematical sciences and statistics researchers are uniquely positioned to help shape the complex issues that define the future of humanity. Mathematical sciences and statistics research at Macquarie is undertaken in pure and applied mathematics – with strengths in applied mathematics, category theory, harmonic analysis and number theory – and statistics – with strengths in biostatistics, epidemiology and medical statistics, image processing, stochastic finance and time series analysis. Our researchers enjoy high levels of international co-authorship and regularly publish their research in prestigious journals such as Communications on Pure and Applied Mathematics, IEEE Transactions on Image Processing, IEEE Transactions on Signal Processing, Journal of the American Mathematical Society, Journal of the American Statistical Association and Statistics in Medicine. Collaborative research is also significant, with partners including national medical research institutes such as the NHMRC Clinical Trials Centre and George Institute for Global Health, and Defence Science and Technology Organisation, Australian Signals Directorate and IBM. Our researchers also enjoy an international reputation as leaders in their fields. In the most recent Excellence in Research for Australia (ERA) evaluation, our research in the sub-discipline of computation theory and mathematics received a rating of ‘performance above world standard’ and our research in the sub-discipline of pure mathematics received a rating of ‘performance at world standard.’ As a higher degree research candidate at Macquarie, you will have the opportunity to research alongside some of the best academics and researchers in not just Australia but the world. Mathematical sciences and statistics PHOTO: DOLLARPHOTOCLUB/RATTIGON

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Page 1: Mathematical sciences and statistics - Macquarie · PDF fileAREAS OF SPECIALISATION Mathematical sciences • Analysis • Applied mathematics • Category theory • Number theory

AREAS OF SPECIALISATION

Mathematical sciences

• Analysis

• Applied mathematics

• Category theory

• Number theory

Statistics

• Biostatistics

• Computational statistics

• Financial modelling

• Signal and image processing

FACILITIES

• Macquarie runs a small supercomputer based on Nvidia Tesla boards

RESEARCH HUB

• Centre of Australian Category TheoryFrom research into the security of e-passport systems and the design of randomised clinical trials to arithmetical properties of musical rhythms and risk management in electricity markets, Macquarie’s mathematical sciences and statistics researchers are uniquely positioned to help shape the complex issues that define the future of humanity.

Mathematical sciences and statistics research at Macquarie is undertaken in pure and applied mathematics – with strengths in applied mathematics, category theory, harmonic analysis and number theory – and statistics – with strengths in biostatistics, epidemiology and medical statistics, image processing, stochastic finance and time series analysis.

Our researchers enjoy high levels of international co-authorship and regularly publish their research in prestigious journals such as Communications on Pure and Applied Mathematics, IEEE Transactions on Image Processing, IEEE Transactions on Signal Processing, Journal of the American Mathematical Society, Journal of the American Statistical Association and Statistics in Medicine.

Collaborative research is also significant, with partners including national medical research institutes such as the NHMRC Clinical Trials Centre and George Institute for Global Health, and Defence Science and Technology Organisation, Australian Signals Directorate and IBM.

Our researchers also enjoy an international reputation as leaders in their fields. In the most recent Excellence in Research for Australia (ERA) evaluation, our research in the sub-discipline of computation theory and mathematics received a rating of ‘performance above world standard’ and our research in the sub-discipline of pure mathematics received a rating of ‘performance at world standard.’

As a higher degree research candidate at Macquarie, you will have the opportunity to research alongside some of the best academics and researchers in not just Australia but the world.

Mathematical sciences and statistics

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Page 2: Mathematical sciences and statistics - Macquarie · PDF fileAREAS OF SPECIALISATION Mathematical sciences • Analysis • Applied mathematics • Category theory • Number theory

Highlights

• Macquarie is home to an ARC Australian

Professorial Fellow, a Fellow of the Australian

Academy of Science and an Australian

Mathematical Society Medallist.

• Several researchers sit on the editorial

boards of leading journals such as Advances

in Mathematics; Australian & New Zealand

Journal of Statistics; Designs, Codes and

Cryptography; IEEE Transactions on

Antennas and Propagation; Journal of Global

Optimization; Journal of Time Series Analysis;

Mathematics of Computation; SIAM Journal

on Computing; Statistical Methods in Medical

Research; and Statistics in Medicine.

Support

You will be provided with individualised support, as well

as a range of opportunities, at all stages of your research

degree, including:

• higher degree research learning skills advisers who

provide valuable training options such as workshops in

research communication, presentation skills, academic

writing skills, thesis planning and more

• inspirational supervision and mentoring

• a candidature management plan that closely supports

progress, commencement programs, work-in-progress

reviews, and presentations providing opportunities for

feedback from a panel of academics

• real-world engagement with opportunities for cotutelle

and joint degrees

• financial support for a range of research-related activities

• world-class facilities

• a transformative research experience that fosters

cross-disciplinary collaboration.

The information in this document is correct at the date of publication but the University reserves the right to vary or withdraw any general information, program(s) and/or fees without notice.

RESEARCH LEADERSMeet some of our internationally renowned researchers.

Professor Ian Marschner is one of Australia’s leading biostatisticians. He has made many contributions to the development of new methodology for the design and analysis of health research studies, and has strong collaborations with medical researchers, particularly at the NHMRC Clinical Trials Centre. He has extensive research and development experience in the pharmaceutical industry.

Professor Barry Quinn works across the boundaries of statistics and electrical engineering, specifically in time series problems in signal processing. He has held chairs at the Universities of London and Manchester, and is an associate editor of the Journal of Time Series Analysis.

Professor Vladimir Gaitsgory is a leading applied mathematician with broad areas of interest in control, optimisation, dynamical systems and games theories, and their applications. He has attracted significant ARC funding to support his research, as well as an ARC Discovery Outstanding Researcher Award.

Professor Xuan Duong is recognised internationally for having made several important breakthroughs in harmonic analysis, specifically in estimates on singular integrals and function spaces. He has published in prestigious journals and is an associate editor of Communications in Mathematical Analysis.

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FIND OUT MOREMacquarie University NSW 2109 AustraliaT: +61 (2) 9850 7987

mq.edu.au | hdr.mq.edu.au

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