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Judy-Anne Osborn

Lecturer in Mathematics at University of Newcastle

I am interested in extremal problems in combinatorics, such as the existence and structure of Hadamard matrices; and enumerative questions arising out of statistical mechanics, especially those relating to lattice path problems. Binary matrices are a common theme across both research areas, as is the use of computers, although the latter in different ways. In my Hadamard matrix research, I tend to use the computer to search the space, so I care about efficiency and speed and use C. In my statistical mechanical research, I use symbolic algebra packages such as Mathematica. In both cases, I care about visualising the results in some intuitive way that hopefully suggests where to look for theorems. I also enjoy the interplay of combinatorial and algebraic techniques.