Doctor Volker Gebhardt
SENIOR LECTURER,
Mathematics
Personal
Qualifications
- PhD University of Essen
UWS Organisational Unit (School / Division)
- Mathematics
Contact
| Email: | V.GEBHARDT@uws.edu.au |
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| Extension: | 2688 |
| Mobile: | |
| Location: | Y.3.55 Penrith (Kingswood) |
| Website: |
Biography
Dr Volker Gebhardt completed his PhD at the University of Essen, Germany in the field of computational group theory. He spent the next four years as a post-doctoral researcher with the Computational Algebra group at the University of Sydney. In 2003-2004, he joined the University of Western Sydney as a casual lecturer and taught several Computing units. In July 2004, he took up a permanent position as a lecturer in Mathematics. His broad research interests lie in various areas of algebra and discrete mathematics; and he is especially interested in questions with an algorithmic or computational flavour.
This information has been contributed by Doctor Gebhardt.
Interests
- Combinatorial Group Theory
- Combinatorics
- Garside Groups
- Group Based Cryptography
Committees
- SCEM Work Plan Committee
Teaching
Previous Teaching Areas
- 200242 Mathematics for Engineers 3, 2012
- 300699 Discrete Structures and Complexity, 2012
Publications
Chapters in Books
- Gebhardt, V. (2006), 'Computer Aided Discovery of a Fast Algorithm for Testing Conjugacy in Braid Groups', Discovering Mathematics with Magma, Springer Verlag 3540376321.
Journal Articles
- Gebhardt, V. and Gonzalez-Meneses, J. (2010), 'The cyclic sliding operation in Garside groups', Mathematische Zeitschrift, 30.
- Gebhardt, V. and Gonzalez-Meneses, J. (2010), 'Solving the conjugacy problem in Garside groups by cyclic sliding', Journal of Symbolic Computation, 28.
- Birman, J., Gebhardt, V. and Gonzalez-Meneses, J. (2008), 'Conjugacy in Garside groups II: structure of the ultra summit set', Groups, Geometry, and Dynamics, 49.
- Gonzalez-Meneses, J. and Gebhardt, V. (2008), 'On the cycling operation in braid groups', Discrete Applied Mathematics, 19.
- Birman, J., Gebhardt, V. and Gonzalez-Meneses, J. (2007), 'Conjugacy in Garside groups I: cyclings, powers and rigidity', Groups, Geometry, and Dynamics, 59.
- Birman, J., Gebhardt, V. and Gonzalez-Meneses, J. (2007), 'Conjugacy in Garside groups III: Periodic Braids', Journal of Algebra, 31.
- Gebhardt, V. (2006), 'Conjugacy search in braid groups: from a braid-based cryptography point of view', Applicable Algebra in Engineering, Communication and Computing, 20.
- Gebhardt, V. (2005), 'A new approach to the conjugacy problem in Garside groups', Journal of Algebra, 21.
Research
Current Projects
| Title: | Algebraic algorithms for investigating the space of bacterial genomes |
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| Years: | 2013-01-01 - 2015-12-31 |
| ID: | P00020822 |
| UWS Researchers: | Andrew Francis and Volker Gebhardt |
| Funding: |
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| Title: | Algorithmic Approaches to Braids and their Generalisations |
| Years: | 2010-09-30 - 2014-06-30 |
| ID: | P00016834 |
| UWS Researchers: | Volker Gebhardt |
| Funding: |
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