Seminar: Joanne Hall

Skolem Circles

SPEAKER: Joanne Hall, School of Science, RMIT
Date: Friday 22nd March, 2019
Time: 3:00pm–4:00pm (Talk & Q/A)
Venue: Building 8 Level 9 Room 66 (AGR) RMIT City campus

The seminar will be followed by snacks and drinks
All students, staff and visitors are welcome

ABSTRACT: A Skolem sequence on m symbols is a sequence of 2m symbols from the symbol set {1,2,… m} with each symbol appearing twice, such that the distance between any pair of that same symbol is that symbols value in integers. For example, 41134232 is a Skolem sequence on 4 symbols.

We investigate wrapping a Skolem sequence around a circle. A Skolem circle is a circular configuration of 2m cells which can be filled with the symbol set {1,2,… m} with each symbol appearing twice, such that the distance between any pair of that same symbol is that symbols value in integers. There are some Skolem circles which cannot be unwrapped into a Skolem sequence.

J Bubear, J Hall, Skolem Circles, Bulletin of the Institute of Combinatorics and its Applications 84, 79-97, 2018.

BIOGRAPHY: Joanne Hall is a lecturer in mathematics and cybersecurity at RMIT. With a background in abstract algebra, her research is on quantum key distribution and post quantum cryptography.  Dr Hall completed her PhD at RMIT in 2011 on quantum key distribution.  She has held research and teaching positions at Charles University in Prague and the Queensland University of Technology.  Returning to RMIT in 2017, Joanne enjoyed participating in the graduation ceremony, having missed her own PhD graduation ceremony.