Staff Profile
Career Summary
Biography
My research website is: https://sites.google.com/site/melderau
I received my PhD from the University of Melbourne in 2001. My supervisor was Prof. Walter Neumann (now at Columbia University, USA) and my topic was automatic and geometric group theory. Since then I have held postdocs, research and teaching positions at Texas A&M University (USA), Tufts University (USA), St Andrews University (Scotland), The University of Wollonong (Australia), Stevens Institute of Technology (USA), The University of Queensland (Australia), and The University of Newcastle (Australia). I currently hold an ARC Future Fellowship at the University of Newcastle from January 2012 until December 2015.
Qualifications
- Doctor of Philosophy, University of Melbourne, 07/03/2001
- Master of Science, University of Melbourne, 10/09/1997
- Postgraduate Diploma, University of Melbourne, 09/12/1995
- Bachelor of Applied Science, La Trobe University, 06/05/1994
Research
Research keywords
- Algebra
- Automata and formal languages
- Complexity theory
- Enumerative combinatorics
- Geometric group theory
- Group theory
- Self-similar groups
- Totally disconnected locally compact groups
Research expertise
My research interests include geometric group theory, complexity theory, automata and language theory, and enumerative combinatorics. Check my webpage https://sites.google.com/site/melderau/papers for more details and my publications.
Languages
- English
Fields of Research
| Code | Description | Percentage |
|---|---|---|
| 010105 | Group Theory And Generalisations | 70 |
| 080201 | Analysis Of Algorithms And Complexity | 15 |
| 080203 | Computational Logic And Formal Languages | 15 |
Memberships
Body relevant to professional practice.
- Member - Australian Mathematical Society
Collaboration
I have written papers with the following researchers (in alphabetical order)
Michael Albert, University of Otago, NZ
Christopher Banks, The University of Newcastle, Australia
Martin Bridson, Oxford University, UK
José Burillo, Universitat Politècnica de Catalunya, Spain
Sean Cleary, City University of New York, USA
Will Dison, Bristol University, UK
Gillian Elston, Hofstra University, USA
Éric Fusy, LIX, Ecole Polytechnique, France
Susan Hermiller, University of Nebraska, USA
Arkadius Kalka, Bar-Ilan University in Ramat Gan, Israel
Mark Kambites, Manchester University, UK
Jon McCammond, University of California Santa Barbara, USA
John Meier, Lafayette College, USA
Gretchen Ostheimer, Hofstra University, USA
Andrew Rechnitzer, The University of British Columbia, Canada
Buks van Rensburg, York University, Canada
Timothy R. Riley, Cornell University, USA
Zoran Šunic, Texas A&M University, USA
Jennifer Taback, Bowdoin University, USA
Paul Westcott, NAB, Australia
George Willis, The University of Newcastle, Australia
Thomas Wong, The University of British Columbia, Canada
Sharif Younes, Bowdoin College, Maine USA
Robert Young, Courant Institute, USA
Mike Zabrocki, York University, Canada
Teaching
Teaching expertise
Check my webpage https://sites.google.com/site/melderau/teaching for details of past courses taught and some teaching materials.
I have taught senior undergraduate and honours courses in:
Abstract algebra; Linear algebra; Discrete mathematics; Computational complexity; Formal languages and automata theory; Geometric group theory; Axiomatic set theory; Topological groups
Grants and Funding
Summary
| Number of grants | 5 |
|---|---|
| Total funding | $938,168 |
For project grants received where the lead institution is other than the University of Newcastle, details are shown in italics.
Click on a grant title below to expand the full details for that specific grant.
2013 (1 grants)
DVC(R) Research Support for Future Fellow (FT11)$24,000
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Doctor Murray Elder | ||
| Scheme | Role | |
| Future Fellowship Support | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $24,000 | 2013 | 2016 |
| GNo:G1301119 | ||
2012 (1 grants)
Theory and applications of symmetries of relational structures$325,000
Funding Body: ARC (Australian Research Council)
| Project Team | ||
|---|---|---|
| Professor George Willis, Doctor Murray Elder | ||
| Scheme | Role | |
| Discovery Projects | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $325,000 | 2012 | 2014 |
| GNo:G1100080 | ||
2011 (3 grants)
Algorithmic and computational advances in geometric group theory$565,468
Funding Body: ARC (Australian Research Council)
| Project Team | ||
|---|---|---|
| Doctor Murray Elder | ||
| Scheme | Role | |
| Future Fellowships | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $565,468 | 2011 | 2015 |
| GNo:G1100435 | ||
Generic complexity in computational topology: Breaking through the bottlenecks$20,700
Funding Body: ARC (Australian Research Council)
| Project Team | ||
|---|---|---|
| Dr Benjamin Burton, Doctor Murray Elder, Dr Stephan Tillmann | ||
| Scheme | Role | |
| Discovery Projects | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $20,700 | 2011 | 2013 |
| GNo:G1001059 | ||
Efficient computations in infinite groups$3,000
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Doctor Murray Elder | ||
| Scheme | Role | |
| New Staff Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,000 | 2011 | 2012 |
| GNo:G1001071 | ||
Research Supervision
| Number of current supervisions | 2 |
|---|---|
| Total current UoN PhD EFTSL | 0.8 |
For supervisions undertaken at an institution other that the University of Newcastle, details are shown in italics, and the institution name is listed below the program name.
Current Supervision
| Commenced | Proposed Completion | Program | Supervisor Type | Research Title |
|---|---|---|---|---|
| 2013 | 2017 | PhD (Mathematics) | Co-Supervisor | Commuting Automorphisms of Compact, Totally Disconnected Groups |
| 2011 | 2015 | PhD (Mathematics) | Co-Supervisor | Structure of Discrete and Non-discrete Locally Primitive Groups Acting on Trees |
Dr Murray Elder
| Work Phone | (02) 4921 7472 |
|---|---|
| Fax | (02) 4921 6898 |
| Murray.Elder@newcastle.edu.au | |
| Position | ARC Future Fellowship School of Mathematical and Physical Sciences Faculty of Science and Information Technology |
| Focus Area | Mathematics |
| Office | V125, Mathematics Building, Callaghan University Drive Callaghan NSW 2308 Australia |
| URL: | www.newcastle.edu.au/profile/murray-elder |
| Link | sites.google.com/site/melderau/ |
Research Networks
