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Cheryl Praeger

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Cheryl Elisabeth Praeger is a highly influential Australian mathematician. She is an expert in several complex areas of pure mathematics. Her primary research focuses on group theory, which studies the mathematical laws of symmetry. She also works in algebraic graph theory and combinatorial designs. These fields help scientists understand how structures and patterns behave. Through her extensive research, she has become one of the most cited authors in her field. As of early 2026, she has published over 490 research papers. She is also known for being a prolific collaborator. She has worked with more than 200 different co-authors on her various projects.

Praeger’s mathematical work involves solving deep problems regarding symmetry and structure. In 1983, she co-authored papers that helped prove the Sims conjecture. This was an early application of the classification of finite simple groups. She also worked on the O'Nan-Scott Theorem with Jan Saxl and Martin Liebeck. This theorem describes how certain types of primitive permutation groups behave. Praeger later expanded this work to include quasiprimitive groups. She also introduced a method called normal quotients of graphs. This technique allows mathematicians to apply group theory to study symmetric graphs. It has since become a standard tool in the field of algebraic graph theory.

Beyond pure theory, Praeger has developed practical tools for computer science. She worked with Peter M. Neumann to analyze a randomized algorithm. This algorithm helps identify finite special linear groups. This work eventually led to the international matrix group recognition project. She and Alice Niemeyer later extended this work to all finite classical groups. Her research also explores the mathematics of symmetry in geometry and discrete mathematics. She investigates the analysis of algorithms and computational complexity. These diverse topics show how abstract math connects to logical systems and computing.

Praeger’s path to success was not always easy. She grew up in Toowoomba, Queensland, and attended Brisbane Girls Grammar School. When she sought advice on studying mathematics, a guidance officer tried to discourage her. He suggested she study nursing or teaching instead. He believed women might struggle with advanced math courses. Praeger ignored this advice and pursued her studies at the University of Queensland. She earned her Bachelor of Science and Master of Science degrees there. She later traveled to the United Kingdom to study at St Anne's College, University of Oxford. There, she earned her doctorate in 1973 under the direction of Peter M. Neumann.

Her professional career has been centered at the University of Western Australia. She was appointed as a full professor in 1983. She held several leadership roles, including Head of the Department of Mathematics from 1992 to 1994. She also served as the inaugural dean of postgraduate research studies from 1996 to 1998. In 1989, she received a Doctor of Science degree for her work on permutation groups. Praeger has also been a dedicated mentor to many researchers. She has supervised over 30 PhD students. Notably, she supervised the honors research of Akshay Venkatesh. He later won the Fields Medal in 2018, which is a top prize in mathematics.

Praeger has received many prestigious awards for her scientific contributions. In 2019, she won the Prime Minister's Prize for Science. She was also promoted to Companion of the Order of Australia in 2021. This is the highest civic honor in the country. She has won many other medals, such as the Moyal Medal and the Thomas Ranken Lyle Medal. Many of these awards recognize her as a pioneer for women in science. She was the first female president of the Australian Mathematical Society. Her excellence has been recognized by institutions in many countries, including Belgium, Iran, and Scotland.

In addition to her research, Praeger is a champion for women in STEM careers. She works to encourage girls to enter mathematics through workshops and lectures. She helped implement the Family Maths Program Australia in local primary schools. She also established the Cheryl E. Praeger Travel Awards for female mathematicians. Her leadership extends to international organizations like the International Mathematical Union. When she is not working on complex equations, she enjoys a variety of hobbies. She is a skilled piano performer with an Associate in Music degree. She also enjoys sailing, hiking, and cycling.

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Cheryl Praeger wins the 2019 PM's prize...
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