Dr Murray Elder

Biography

My actual 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, 2001
• Master of Science, University of Melbourne, 1997
• Postgraduate Diploma, University of Melbourne, 1995
• Bachelor of Applied Science, La Trobe University, 1994

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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.

Collaboration

International:

Michael Albert, University of Otago, NZ

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

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

Thomas Wong, The University of British Columbia, Canada

Robert Young, Courant Institute, USA

Mike Zabrocki, York University, Canada

Australia:

Chris Banks, The University of Newcastle, Australia

Paul Westcott, NAB, Australia

George Willis, The University of Newcastle, Australia

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

Centres and Groups

Centre

• PRC - Computer Assisted Research Mathematics and its Applications

Memberships

Body relevant to professional practice.

• Member - Australian Mathematical Society

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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