Christine Margaret O'Keefe is an Australian mathematician and computer scientist whose research has included work in finite geometry, information security, and data privacy. [1] She is a researcher at CSIRO, [2] and was the lead author of a 2017 report from the Office of the Australian Information Commissioner on best practices for de-identification of personally identifying data. [3]
O'Keefe has a bachelor's degree from the University of Adelaide, initially intending to study medicine [4] but earning first-class honours in mathematics there in 1982. She returned to Adelaide for doctoral study in 1985, and completed her Ph.D. in 1988. Her dissertation, Concerning -spreads of , was supervised by Rey Casse. [2] [5]
She was a lecturer and research fellow at the University of Western Australia from 1999 to 2001, when she returned to the University of Adelaide. At Adelaide, she worked as a lecturer, senior lecturer, Queen Elizabeth II Fellow, and senior research fellow. [2]
Her research interests shifted from finite geometry to information security and to effect that shift she moved in 2000 from Adelaide to CSIRO. At CSIRO, she founded the Information Security and Privacy Group in 2002, became head of the Health Informatics Group in 2004, became Theme Leader for Health Data and Information in 2006, and Strategic Operations Director for Preventative Health National Research in 2008. [2]
While doing this, she studied for an MBA at Australian National University, finishing in 2008. She became Director of the Population Health Research Network Centre and Professor of Health Sciences at Curtin University from 2009 to 2010 before returning to CSIRO as Science Leader for Privacy and Confidentiality in the CSIRO Department of Mathematics, Informatics and Statistics. [2]
O'Keefe has been a Fellow of the Institute of Combinatorics and its Applications since 1991. In 1996, O'Keefe won the Hall Medal of the Institute of Combinatorics and its Applications for her work in finite geometry. [2] She won the Australian Mathematical Society Medal in 2000, the first woman to win the medal, [4] and in the same year became a Fellow of the Australian Mathematical Society. [2] Although the Medal citation primarily discussed O'Keefe's work in finite geometry, such as the discovery of new hyperovals, it included a paragraph on her research using geometry in secret sharing, [6] a precursor to her later work on information security. [4]
Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets. However, there is no exact definition of the term "discrete mathematics".
Fan-Rong King Chung Graham, known professionally as Fan Chung, is a Taiwanese-born American mathematician who works mainly in the areas of spectral graph theory, extremal graph theory and random graphs, in particular in generalizing the Erdős–Rényi model for graphs with general degree distribution.
Mathai Varghese is a mathematician at the University of Adelaide. His first most influential contribution is the Mathai–Quillen formalism, which he formulated together with Daniel Quillen, and which has since found applications in index theory and topological quantum field theory. He was appointed a full professor in 2006. He was appointed Director of the Institute for Geometry and its Applications in 2009. In 2011, he was elected a Fellow of the Australian Academy of Science. In 2013, he was appointed the Elder Professor of Mathematics at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an ARC Australian Laureate Fellowship. In 2021, he was awarded the prestigious Hannan Medal and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics. In 2021, he was also awarded the prestigious George Szekeres Medal which is the Australian Mathematical Society’s most prestigious medal, recognising research achievement and an outstanding record of promoting and supporting the discipline.
In projective geometry an oval is a point set in a plane that is defined by incidence properties. The standard examples are the nondegenerate conics. However, a conic is only defined in a pappian plane, whereas an oval may exist in any type of projective plane. In the literature, there are many criteria which imply that an oval is a conic, but there are many examples, both infinite and finite, of ovals in pappian planes which are not conics.
Cheryl Elisabeth Praeger is an Australian mathematician. Praeger received BSc (1969) and MSc degrees from the University of Queensland (1974), and a doctorate from the University of Oxford in 1973 under direction of Peter M. Neumann. She has published widely and has advised 27 PhD students. She is currently Emeritus Professor of Mathematics at the University of Western Australia. She is best known for her works in group theory, algebraic graph theory and combinatorial designs.
Renfrey Burnard (Ren) Potts AO (1925–2005) was an Australian mathematician and is notable for the Potts model and his achievements in: operations research, especially networks; transportation science, car-following and road traffic; Ising-type models in mathematical physics; difference equations; and robotics. He was interested in computing from the early days of the computing revolution and oversaw the first computer purchases at the University of Adelaide.
Dwijendra Kumar Ray-Chaudhuri is a professor emeritus at Ohio State University. He and his student R. M. Wilson together solved Kirkman's schoolgirl problem in 1968 which contributed to developments in design theory.
János Pach is a mathematician and computer scientist working in the fields of combinatorics and discrete and computational geometry.
Sergey Vladimirovich Fomin is a Russian American mathematician who has made important contributions in combinatorics and its relations with algebra, geometry, and representation theory. Together with Andrei Zelevinsky, he introduced cluster algebras.
Adrian Baddeley is a statistical scientist working in the fields of spatial statistics, statistical computing, stereology and stochastic geometry.
Hendrika Cornelia Scott (Henda) SwartFRSSAf was a South African mathematician, a professor emeritus of mathematics at the University of KwaZulu-Natal and a professor at the University of Cape Town
Tamar Debora Ziegler is an Israeli mathematician known for her work in ergodic theory, combinatorics and number theory. She holds the Henry and Manya Noskwith Chair of Mathematics at the Einstein Institute of Mathematics at the Hebrew University.
Anne Penfold Street (1932–2016) was one of Australia's leading mathematicians, specialising in combinatorics. She was the third woman to become a mathematics professor in Australia, following Hanna Neumann and Cheryl Praeger. She was the author of several textbooks, and her work on sum-free sets became a standard reference for its subject matter. She helped found several important organizations in combinatorics, developed a researcher network, and supported young students with interest in mathematics.
Louise Marie Ryan is an Australian biostatistician, a distinguished professor of statistics in the School of Mathematical Sciences at the University of Technology Sydney, president-elect of the International Biometric Society, and an editor-in-chief of the journal Statistics in Medicine. She is known for her work applying statistics to cancer and risk assessment in environmental health.
Spyros Simos Magliveras is a Greek-born American mathematician and computer scientist.
James William Peter Hirschfeld is an Australian mathematician, resident in the United Kingdom, specializing in combinatorial geometry and the geometry of finite fields. He is an Emeritus Professor and Tutorial Fellow at the University of Sussex.
Jeanette Claire McLeod is a New Zealand mathematician specialising in combinatorics, including the theories of Latin squares and random graphs. She is a senior lecturer in the School of Mathematics and Statistics at the University of Canterbury, a principal investigator for Te Pūnaha Matatini, a Centre of Research Excellence associated with the University of Auckland, an honorary senior lecturer at the Australian National University, and the president for three terms from 2018 to 2020 of the Combinatorial Mathematics Society of Australasia.
Lynn Margaret Batten is a Canadian mathematician known for her books about finite geometry and cryptography, and for her research on the classification of malware. She passed away peacefully on 28th July, 2022 - tributes from AMSI - notice in the Age.
Jan Saxl was a Czech-British mathematician, and a professor at the University of Cambridge. He was known for his work in finite group theory, particularly on consequences of the classification of finite simple groups.