Dr Susan Barwick

Senior Lecturer

School of Mathematical Sciences

College of Science

Eligible to supervise Masters and PhD - email supervisor to discuss availability.


My research interests lie in the area of finite projective geometry.

My research area is finite projective geometry. Recent projects include work on the Bose representation and GF(q)-conics, characterising quadrics, fibrations, and the Figueroa plane.

Date Position Institution name
2007 - ongoing Senior lecturer (0.5FTE - half time) University of Adelaide

Date Institution name Country Title
University of London U.K. Ph. D.

Year Citation
2025 Barwick, S. G., Hui, A. M. W., & Jackson, W. A. (2025). The partition of PG(2, q3) arising from an order 3 planar collineation. Advances in Geometry, 25(3), 345-359.
DOI
2024 Barwick, S. G., Jackson, W. -A., & Wild, P. (2024). The feet of orthogonal Buekenhout-Metz unitals. Advances in Geometry, 24(2), 275-285.
DOI
2023 Barwick, S. G., Jackson, W. -A., & Wild, P. (2023). A characterisation of Fq-conics of PG(2, q3). DISCRETE MATHEMATICS, 346(4), 19 pages.
DOI
2022 Barwick, S. G., Hui, A. M. W., & Jackson, W. A. (2022). A geometric description of the Figueroa plane. Designs, Codes, and Cryptography, 91(5), 1581-1593.
DOI Scopus1 WoS1
2021 Barwick, S. G., Hui, A. M. W., Jackson, W. A., & Schillewaert, J. (2021). Characterising the secant lines of Q(4,q), q even. Journal of Combinatorial Theory. Series A, 182, 105476.
DOI
2021 Barwick, S. G., Jackson, W. A., & Wild, P. (2021). The bose representation of PG(2, q<sup>3</sup>) in PG(8, q). Australasian Journal of Combinatorics, 79(1), 31-54.
Scopus2 WoS2
2020 Barwick, S. G., & Jackson, W. A. (2020). Sets of class [q+1,2q+1,3q+1]<inf>3</inf> in PG(4,q). Discrete Mathematics, 343(9), 8 pages.
DOI
2020 Barwick, S. G., Jackson, W. A., & Wild, P. (2020). 2-Special normal rational curves in PG (4 , q). Journal of Geometry, 111(1), 1-12.
DOI Scopus2
2020 Barwick, S. G., Hui, A. M. W., Jackson, W. A., & Schillewaert, J. (2020). Characterising hyperbolic hyperplanes of a non-singular quadric in PG (4, q). Designs, Codes and Cryptography, 88(1), 33-39.
DOI Scopus7 WoS7
2020 Barwick, S. G., Hui, A. M. W., & Jackson, W. A. (2020). Characterising elliptic solids of Q(4,q), q even. Discrete Mathematics, 343(6), 1-8.
DOI Scopus3 WoS3
2020 Barwick, S. G., & Jackson, W. A. (2020). A characterisation of Baer subplanes. Journal of Geometry, 111(2), 14 pages.
DOI Scopus1 WoS2
2019 Barwick, S. G., Jackson, W. -A., & Wild, P. (2019). Specialness and the Bose representation.
2019 Barwick, S. G., Jackson, W. A., & Wild, P. (2019). Conics in baer subplanes. Innovations in Incidence Geometry, 17(2), 85-107.
DOI Scopus3
2019 Barwick, S. G., & Jackson, W. A. (2019). The exterior splash in PG(6, q): Transversals. Innovations in Incidence Geometry, 17(1), 1-24.
DOI Scopus1
2019 Barwick, S. G. (2019). Ruled quintic surfaces in PG(6,q). Innovations in Incidence Geometry, 17(1), 25-41.
DOI Scopus2
2017 Barwick, S., & Jackson, W. (2017). The exterior splash in PG(6, q): Carrier conics. Advances in Geometry, 17(4), 407-422.
DOI Scopus3 WoS2
2017 Barwick, S., Jackson, W., & Penttila, T. (2017). New families of strongly regular graphs. Australasian Journal of Combinatorics, 67(3), 486-507.
Scopus4 WoS3
2017 Barwick, S., & Jackson, W. (2017). Hyper-reguli in PG(5,q). Journal of Geometry, 108(3), 1-2.
DOI
2016 Barwick, S., & Jackson, W. (2016). Exterior splashes and linear sets of rank 3. Discrete Mathematics, 339(5), 1613-1623.
DOI Scopus6 WoS5
2015 Barwick, S., & Jackson, W. (2015). Characterising pointsets in PG(4,q) that correspond to conics. Designs, Codes, and Cryptography, 80(2), 317-332.
DOI Scopus1 WoS1
2015 Barwick, S., & Jackson, W. (2015). The tangent splash in PG (6, q). Discrete Mathematics, 338(7), 1178-1190.
DOI Scopus1 WoS1
2015 Barwick, S. G., & Jackson, W. A. (2015). A characterization of translation ovals in finite even order planes. Finite Fields and their Applications, 33, 37-52.
DOI Scopus2 WoS2
2015 Barwick, S. G., & Jackson, W. A. (2015). An investigation of the tangent splash of a subplane of PG(2,q3). Designs, Codes and Cryptography, 76(3), 451-468.
DOI Scopus6 WoS3
2014 Barwick, S., & Jackson, W. (2014). A characterisation of tangent subplanes of PG(2, q³). Designs Codes and Cryptography, 71(3), 541-545.
DOI Scopus8 WoS6
2012 Barwick, S., & Marshall, D. (2012). Conics and multiple derivation. Discrete Mathematics, 312(10), 1623-1632.
DOI Scopus1 WoS1
2012 Barwick, S., & Jackson, W. (2012). Sublines and subplanes of PG(2,q³) in the Bruck–Bose representation in PG(6,q). Finite Fields and Their Applications, 18(1), 93-107.
DOI Scopus12 WoS9
2011 Barwick, S., Jackson, W., & Quinn, C. (2011). Conics and caps. Journal of Geometry, 100(1-2), 15-28.
DOI Scopus4 WoS3
2009 Barwick, S., & Marshall, D. (2009). Unitals and replaceable t-nests. Australasian Journal of Combinatorics, 43, 115-126.
Scopus1 WoS1
2009 Barwick, S., & Butler, D. (2009). A characterisation of the lines external to an oval cone in PG(3, q), q even. Journal of Geometry, 93(1-2), 21-27.
DOI Scopus9 WoS9
2008 Barwick, S., & Butler, D. (2008). A characterisation of the lines external to a quadric cone in PG(3,q), q odd. Innovations in Incidence Geometry, 8(1), 39-48.
DOI Scopus5
2008 Barwick, S., & Jackson, W. (2008). Geometric constructions of optimal linear perfect hash families. Finite Fields and Their Applications, 14(1), 1-13.
DOI Scopus6 WoS6
2007 Barwick, S., & Jackson, W. (2007). A sequence approach to linear perfect hash families. Designs Codes and Cryptography, 45(1), 95-121.
DOI Scopus5 WoS6
2006 Barwick, S., Jackson, W., Martin, K., & O'Keefe, C. (2006). Optimal updating of ideal threshold schemes. Australasian Journal of Combinatorics, 36, 123-132.
Scopus1 WoS1
2006 Barwick, S., Brown, M., & Penttila, T. (2006). Flock generalized quadrangles and tetradic sets of elliptic quadrics of PG(3, q). Journal of Combinatorial Theory Series A, 113(2), 273-290.
DOI Scopus7 WoS7
2005 Barwick, S., & Jackson, W. (2005). An optimal multisecret threshold scheme construction. Designs Codes and Cryptography, 37(3), 367-389.
DOI Scopus6 WoS3
2005 Barwick, S., Jackson, W., & Martin, K. (2005). A general approach to robust web metering. Designs Codes and Cryptography, 36(1), 5-27.
DOI Scopus4 WoS4
2005 Barwick, S., Jackson, W., & Martin, K. (2005). Updating the parameters of a threshold scheme by minimal broadcast. IEEE Transactions on Information Theory, 51(2), 620-633.
DOI Scopus32 WoS28
2004 Barwick, S., Jackson, W., & Quinn, C. (2004). Optimal linear perfect hash families with small parameters. Journal of Combinatorial Designs, 12(5), 311-324.
DOI Scopus11 WoS12
2004 Barwick, S., & Brown, M. (2004). The dual Yoshiara construction gives new extended generalized quadrangles. European Journal of Combinatorics, 25(3), 377-382.
DOI
2002 Barwick, S., Jackson, W., Martin, K., & Wild, P. (2002). Size of broadcast in threshold schemes with disenrollment. Lecture Notes in Computer Science/Lecture Notes in Artificial Intelligence, 2384, 71-88.
DOI Scopus6 WoS5
2001 Barwick, S., & Quinn, C. (2001). Generalising a characterisation of Hermitian curves. Journal of Geometry, 70(1-2), 1-7.
DOI Scopus10
2000 Barwick, S., Casse, L., & Quinn, C. (2000). The Andre/Bruck and Bose representation in PG(2h,q): unitals and Baer subplanes. Bulletin of the Belgian Mathematical Society-Simon Stevin, 7(2), 173-197.
DOI Scopus9 WoS10
2000 Barwick, S., O'Keefe, C., & Storme, L. (2000). Unitals which meet Baer subplanes in 1 modulo q points. Journal of Geometry, 68(1-2), 16-22.
DOI Scopus4
1997 Barwick, S. (1997). Unitals in the Hall Plane. Journal of Geometry, 58(1-2), 26-42.
DOI Scopus10
1997 Barwick, S., & O'Keefe, C. (1997). Unitals and Inversive Planes. Journal of Geometry, 58(1-2), 43-52.
DOI Scopus2
1996 Barwick, S. (1996). A class of Buekenhout unitals in the Hall plane. Bulletin of the Belgian Mathematical Society - Simon Stevin, 3(1), 113-124.
DOI Scopus5
1994 Barwick, S. G. (1994). A characterization of the classical unital. Geometriae Dedicata, 52(2), 175-180.
DOI Scopus23 WoS18
- Thas, J. (2019). Regular pseudo-hyperovals and regular pseudo-ovals in even characteristic. Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial, 17(2), 77-84.
DOI

Year Citation
2022 Barwick, S. G., Jackson, W. -A., & Wild, P. (2022). The feet of orthogonal Buekenhout-Metz unitals.

Date Role Research Topic Program Degree Type Student Load Student Name
2022 - 2024 Principal Supervisor Quadrics & Quadrals, Combinatorics & Characterisations: a Survey of Subspaces Master of Philosophy Master Full Time Mr George Savvoudis
2005 - 2008 Principal Supervisor Quadrals and their Associated Subspaces Doctor of Philosophy Doctorate Full Time Dr David Butler
2003 - 2010 Principal Supervisor Conics, Unitals and Net Replacement Doctor of Philosophy Doctorate Full Time Mr Daniel Marshall

Connect With Me

External Profiles

Other Links