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TOM HALL'S HOME PAGE

Honors

Honorary Life Member, Australian Mathematical Society
Fellow of the Australian Mathematical Society (FAustMS)

Editorships of research journal

Current editorship

Communicating Editor of Semigroup Forum (Springer Verlag)

Previous editorships

Communicating Editor of the Journal of the Australian Mathematical Society, Series A (Pure Mathematics)

Chief Editor of the Journal of the Australian Mathematical Society, Series A (Pure Mathematics)

Communicating Editor of the Journal of Algebra (Academic Press)

Communicating Editor of the International Journal of Algebra and Computation (World Scientific)

Research Group

Algebra and Discrete Mathematics (Convenor)

Equity and Diversity Work

Discrimination and Harassment Grievance Adviser (to the University community)

Discrimination and Harassment Grievance Conciliator (to the University community)

Addresses

School of Mathematical Sciences
PO Box 28M
Monash University
Clayton 3800
Australia

(61) (03) 9905 4412
Fax (61) (03) 9905 4435

Email: tom.hall@sci.monash.edu.au

Photographs

Links

To all university mathematics departments in the world: http://www.ams.org/mathweb/mi-depts.html

Publications since 1996

Area 1: The algebraic theory of semigroups

[1] K. Auinger and T.E. Hall , "Concepts of congruence, morphism and substructure for biordered sets", Communications in Algebra 24 (1996), 3933-3968.

[2] K. Auinger and T.E. Hall, "Representations of semigroups by transformations and the congruence lattice of an eventually regular semigroup", Int. J. Algebra and Computation 6 (1996), 655-685.

[3] T.E. Hall and M.V. Sapir, "Idempotents, regular elements and sequences from finite semigroups", Discrete Mathematics 161 (1996), 151-160.

[4] K. Auinger, T.E. Hall, N.R. Reilly and S. Zhang, "Congruences on the lattice of pseudovarieties of finite semigroups", Int. J. Algebra and Computation 7 (1997), 433-455.

[5] T.E. Hall, S.I. Kublanovskii, S.W. Margolis, M.V. Sapir and P.G. Trotter, "Algorithmic problems for finite groups and finite O-simple semigroups", J. Pure and Applied Algebra 119 (1997), 75-96.

[6] T.E. Hall and S. Zhang, "On radical congruence systems II", Int. J. Algebra and Computation 8 (1998), 363-397.

[7] T.E. Hall and T. Imaoka, "Representations and amalgamation of generalised inverse *-semigroups", Semigroup Forum 58 (1999), 126-141.

[8] T.E. Hall and P. Weil, "On radical congruence systems", Semigroup Forum 59 (1999), 56-73.

[9] T.E. Hall and Kunitaka Shoji, "Finite bands and amalgamation bases for finite semigroups", Communications in Algebra 30(2) (2002), 911-933.

Area 2: Combinatorial mathematics for electronic communication

[10] A. Z. Tirkel, C.F. Osborne and T.E. Hall, "Image and watermark registration for monochrome and coloured images", DICTA'97, Auckland, NZ, 1997, p. 59-64.

[11] A. Z. Tirkel, C.F. Osborne and T.E. Hall, "Steganography - Applications of Coding Theory", IEEE Information Theory Workshop, Svalbard, Norway, 1997, p. 57-59.

[12] A. Z. Tirkel, C.F. Osborne and T.E. Hall, "Effects of bias and characteristic phase on crosscorrelation of m-sequences", IEEE Proceedings - Communications, vol 144, number 4, p. 217-220, August 1997.

[13] A. Z. Tirkel, C.F. Osborne and T.E. Hall, "Image and Watermark Registration", Signal Processing Journal 66 (1998), 373-383.

[14] A. Z. Tirkel, T.E. Hall, C.F. Osborne and R.G. van Schyndel, "Secure Arrays for Digital Watermarking", Proceedings of the 14th International Conference on Pattern Recognition, Brisbane, Australia, August 16-20, 1998, p.1643-1645.

[15] A. Z. Tirkel, T.E. Hall and C.F. Osborne, "A New Class of Spreading Sequences", presented to the Fifth International Symposium on Spread Spectrum Techniques and Applications (ISSSTA;98) Sun City, South Africa, September 2-4, 1998, Vol 1, p. 46-50.

[16] R.G. van Schyndel, A. Z. Tirkel, I.D. Svalbe, T.E. Hall and C.F. Osborne, "Algebraic Construction of a New Class of Quasi-Orthogonal Arrays in Steganography", Proceedings of SPIE, Vol 3657, Security and Watermarking of Multimedia Contents, 1999, San Jose, USA, p. 354-364.

[17] A. Z. Tirkel and T.E. Hall, "Advanced Spread Spectrum Watermarking", invited paper to Multimedia Security Workshop, ACM 1999, Orlando, Florida, October 30, 1999.

[18] T.E. Hall and A.Z. Tirkel, "Watermarking at point of origin", ACM00 ( Association of Computing Machinery), Los Angeles, October 30, 2000, Proceedings ACM Multimedia 2000 Workshops, Marina del Rey, California, 135-138.

[19] T.E. Hall and A.Z. Tirkel, "Pseudo-noise patterns for watermarking", The first IEEE Pacific-Rim Conference on Multmedia, Sydney, 2000, Proceedings of the International Symposium on Multimedia Information Processing, 324-327.

[20] Ron G. van Schyndel, Andrew Z. Tirkel, Imants D. Svalbe, Thomas E. Hall and Charles F. Osborne, "Spread-spectrum digital watermarking concepts and higher dimensional array constructions", First International Online Symposium on Electronics Engineering, July 2000, at http://www.techonline.com/osee (Presented online by Ron G. van Schyndel).

[21] T.E. Hall and A.Z. Tirkel, "A unique watermark for every image", IEEE Multimedia, October to December, 2001, 30-37.

[22] T.E. Hall, C.F. Osborne and A.Z. Tirkel, "Families of matrices with good auto and cross-correlation", Ars Combinatoria, 61(2001), 187-196.

[23] T.E. Hall, E. M. Krengel and A.Z. Tirkel, "Cross-correlation of m and GMW sequences", Proceedings-1 of Digital Signal Processing and its Application, February 27- March 1, 2002, Moscow, Russia, pp.32-36.

[24] A.Z. Tirkel and T.E. Hall, "Matrices with bounded correlation", Proceedings of the IEEE Seventh International Symposium on Spread Spectrum Techniques and Applications, Volume 1, September 2-5, 2002, Prague, Czech Republic, pp. 175-179.

[25] A.Z. Tirkel, E. M. Krengel and T.E. Hall,, "Cross-correlation of binary m and GMW arrays", Proceedings of the IEEE Seventh International Symposium on Spread Spectrum Techniques and Applications, Volume 2, September 2-5, 2002, Prague, Czech Republic, pp. 603-607.

[26] Andrew Z. Tirkel and Tom E. Hall, "New Quasi-Perfect and Perfect Sequences of Roots of Unity and Zero", Proceedings (Extended Abstracts) 2004 International Conference on Sequences and Their Applications (SETA '04), October 24-28 2004, Seoul, Korea, pp. 69-73.

[27] Evgeny I. Krengel, Andrew Z. Tirkel and Tom E. Hall, "New Binary and Ternary Sequences with Low Correlation", Proceedings (Extended Abstracts) 2004 International Conference on Sequences and Their Applications (SETA '04), October 24-28 2004, Seoul, Korea, pp.74-78.

[28] A.Z. Tirkel, E.I. Krengel and T.E. Hall, "Sequences with large ZCZ", Proceedings, ISSSTA (International Symposium on Spread Spectrum Techniques and Applications) 2004, Sydney, Australia, 30 Aug. - 2 Sept. 2004, pp. 270-274.

[29] Evgeny I. Krengel, Andrew Z. Tirkel and Tom E. Hall, 'New Sets of Binary and Ternary Sequences with Low Correlation', SETA 2004, Lecture Notes in Computer Science 3486 (2005), pp. 220-235. Electronic publication at http://dx.doi.org/10.1007/11423461_15

[30] A.Z. Tirkel and T.E. Hall, "Matrix construction using cyclic shifts of a column", Proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, on CD (IEEE Cat. No.05CH37684C), electronic publication at http://arxiv.org/abs/cs.DM/0508022, ISBN 0-7803-9151-9.

[31] Andrew Tirkel and Tom Hall, "New Matrices with good Auto and Cross-Correlation", Proceedings (Extended Abstracts) of the Second International Workshop on Sequence Design and Its Applications in Communications, edited by Shinya Matsufuji and Wai Ho Mow, 2005 pp. 39-43.