Number Theory Down Under

 In Workshop reports

The University of Newcastle, 24–25 October 2014

Well represented by Kurt Mahler and Alf van der Poorten, number theory has been a core component of mathematical research in Australia and has undergone resurgence in recent years with many permanent appointments and research positions. To take advantage of this, number theory conferences (at the University of Newcastle and Macquarie University) have been arranged to bring together domestic and international number theorists to share ideas, and to pursue collaborative work.

The 2014 conference focused on the interaction between Diophantine approximation, transcendence theory and analytical computations.

The role of computation in the approximation and transcendence theory has expanded greatly in recent years. Not only can powerful machines evaluate numerical constants to high precision, but numerical searches of finite cases can establish theorems. This has spurred tremendous advances in the calculation of special values of special functions (for example, multiple zeta-values) and on the measure of how ‘irrational’ certain numbers are.

This year’s event organisers were particularly delighted by the high presence of students (undergraduate and graduate) in the program.

Feedback from participants indicated that this conference should become a yearly fixture. Participants agreed that Harbourview Function Centre would make an ideal setting for future meetings.

MathSciNet Classification
11J13, 11K60, 11M26

Program structure

Web Links
https://carma.newcastle.edu.au/meetings/ntdu2/

Other Sponsors
CARMA

Contact
Dr Mumtaz Hussain, The University of Newcastle
Mumtaz.Hussain@newcastle.edu.au

Organisers

Dr Mumtaz Hussain, The University of Newcastle
Dr Timothy Trudgian, Australian National University

Special presenters

Laureate Professor Jon Borwein, The University of Newcastle
Research interests: computer assisted mathematical research, high performance computing, applied mathematics, functional and numerical analysis, data mining, discrete mathematics, dymatical systems, machine learning
Professor Wadim Zudilin, The University of Newcastle
Research interests: number theory and its applications
Professor Richard Brent, FAA, Australian National University & The University of Newcastle
Research interests: computational number theory and analysis of algorithms
Professor Igor Shparlinski, FAA, University of New South Wales
Research interests: exponential and character sums, and their applications to cryptography
Associate Professor Simon Kristensen, Aarhus University
Research interests: analytical number theory, especially metric diophantine approximation
Dr Dzmitry Badziahin, Durham University
Research interests: metric diophantine approximation
Dr Yohei Tachiya, Hirosaki University
Research interests: multiple zeta values

Participant Summary

Attendees

NUMBER OF ATTENDEES

XX

  • Academic

    64%

  • Postdocs

    0%

  • Post Graduates

    28%

  • Students

    8%

  • Industry

    0%

Gender

Gender Breakdown

State Breakdown
Victoria
13%
Australian Capital Territory
11%
New South Wales
54%
Queensland
2%
South Australia
0%
Western Australia
0%
Tasmania
0%
Northern Territory
0%
International
21%
Citizenship Status
Domestic - 60%
50%
International - 40%
50%
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