# Advisory Board

**The MATRIX Advisory Board consists of the following senior mathematical scientists and industry representatives. **

**Prof. Tony Guttmann** Chair (University of Melbourne)

Tony holds a Personal Chair in mathematics at The University of Melbourne. He was the Interim Director of the Australian Mathematical Sciences Institute at the time of its creation.

Research Interests: Tony’s research interests are in equilibrium statistical mechanics in general, and more particularly in discrete models of phase transitions. As these are often equivalent to a combinatorial problem, he is equally interested in the relevant combinatorics, and the connection between the two. Additionally, he is regularly looking for new ways to count the underlying graphs efficiently leading to a study of algorithmic complexity.

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**Dr. Mark Aarons **(National Australia Bank)

Mark is the Head of FICC Structuring at National Australia Bank. The global structuring team provides tailored derivatives to financial institutions and large corporate clients. He has over 12 years’ financial markets experience in Australia and the UK, across both Front Office and quantitative Market Risk roles. He obtained a PhD in Mathematics at the Max Planck Institute / Free University Berlin and has bachelor degrees in Law and Science (both with Honours) from Monash University.

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**Prof. Hélène Barcelo **(Mathematical Sciences Research Institute)

Hélène is the Deputy Director of the Mathematical Sciences Research Institute, a position she has held since July 1, 2008. As Deputy Director, she is in charge of overseeing all scientific activities at the Institute. She received the Wexler Award (ASU) for distinguished teaching, and 4 doctoral and 8 master students completed their degree under her direction. She has held visiting positions at numerous universities and research institutes around the world.

Research Interests: Hélène’s research interests lie in algebraic combinatorics; more specifically, combinatorial representation theory and homotopy theories in relation to subspace arrangements.

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**Prof. Peter Bouwknegt** (Australian National University)

Peter is a Professor of Mathematics and Theoretical Physics at the Australian National University in Canberra. He is currently the director of the Mathematical Sciences Institute at the ANU. He has served both on the ARC College of Experts and the ARC ERA Research Evaluations Committee.

Research Interests: Peter is a Mathematical Physicist. His research interests center around the mathematical foundations of String Theory, Quantum Field Theory and Condensed Matter Theory.

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**Prof. Danny Calegari** (University of Chicago)

Danny obtained a BA degree with Honors from the University of Melbourne in 1994 and a PhD from UC Berkeley under the supervision of Andrew Casson in 2000. He currently holds the position of Professor of Mathematics at the University of Chicago. He was previously the University Professor (Chair) of Pure Mathematics, DPMMS University of Cambridge, and the Richard Merkin Distinguished Professor of Mathematics at California Institute of Technology. He has held positions at California Institute of Technology and Harvard.

Research Interests: Danny’s research interests are in geometry, dynamics and topology in low dimensions, and geometric group theory.

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**Prof. Jan de Gier** Director (Strategy) (University of Melbourne)

Jan is co-Director of MATRIX and Head of the School of Mathematics and Statistics at the University of Melbourne. He is also Chief Investigator of the ARC Centre of Excellence for Mathematical and Statistical Frontiers.

Research Interests: Jan’s main research areas are mathematical physics, statistical mechanics, interacting particle systems, solvable lattice models, representation theory and multivariable polynomials. He also studies applications of stochastic particle systems to real world traffic modelling.

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**Prof. Joe Grotowski **(University of Queensland)

Joe has been Head of School at the University of Queensland since May, 2014, having served as Head of Mathematics from January 2010 until April 2014.

Research Interests: Joe’s research is mainly in geometric and nonlinear analysis, in particular in geometric evolution equations. In recent years he has also become involved in a number of more applied projects.

**Prof. Philip Hall**** **(Monash University)

Philip is the Head of the School of Mathematical Sciences at Monash University.

Research Interests: Philip’s main research area is Applied Mathematics, in particular nonlinear hydrodynamic stability theory, computational fluid dynamics, boundary layer control, convection, lubrication theory, chaotic fluid motion, geomorphology of rivers, coherent structures in high Reynolds number flows.

**Prof. Herbert Huppert** (University of Cambridge)

Herbert is Emeritus Professor of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge.

Research Interests: Herbert’s research areas are in general fluid mechanics, in particular as applied to the Earth Sciences. His current areas of active research include: phase changes between fluid and solids (solidification and melting); formation of ice in the Arctic and Antarctic; propagation of gravity currents; particle-driven flows; turbidites and pyroclastic flows; flow of granular material; volcanic eruption dynamics; slow viscous motions; flow in porous media; carbon-dioxide sequestration; extreme natural hazards.

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**Prof. Peter Jagers** (Chalmers University of Technology and University of Gothenburg)

Peter is Professor of Mathematical Statistics at Chalmers University of Technology and University of Gothenburg. He is a Fellow and Past First Vice-President of the Royal Swedish Academy.

Research Interests: Peter’s research areas are in stochastic processes – in particular branching processes, population dynamics, probability theory, and statistics; and probability in biology, models for evolution.

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**Prof. Iain Johnstone** (Stanford University)

Iain is Professor in the Departments of Statistics and Biomedical Data Science at Stanford.

Research Interests: Iain’s research interests lie in statistics, in particular around high dimensional data, random matrix methods, decision theory and wavelet methods.

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**Prof. Nalini Joshi** (University of Sydney)

Nalini is a Georgina Sweet Australian Laureate Fellow in mathematics at the University of Sydney and Chair National Committee of the Mathematical Sciences. She obtained her PhD from Princeton University and has held the Chair of Applied Mathematics at the University of Sydney since 2002.

Research Interests: Nalini develops mathematical methods to study solutions of integrable systems, which arise as universal models in physics, such as the Painleve equations.

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**Prof. Aleks Owczarek** (University of Melbourne)

Aleks is the Deputy Dean, Faculty of Science at the University of Melbourne.

Research Interests: Aleks’ research areas include: integrable systems, mathematical physics, enumerative combinatorics, and statistical mechanics.

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**Prof. Cheryl Praeger** (University of Western Australia)

Cheryl is Professor of Mathematics at the University of Western Australia. She is also the Foreign Secretary of the Australian Academy of Science (2014-2018). She is a former ARC Federation Fellow and was the inaugural Director of the UWA Centre for the Mathematics of Symmetry and Computation.

Research Interests: Cheryl’s research has focussed on the theory of group actions and their applications in Algebraic Graph Theory and for Combinatorial Designs; and algorithms for group computation including questions in statistical group theory and algorithmic complexity.

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**Prof. Geoff Prince** (Australian Mathematical Sciences Institute (AMSI))

Geoff has been the Director of the Australian Mathematical Sciences Institute (AMSI) since 2009. Geoff has a long academic career as a teacher and researcher at RMIT, the University of New England and La Trobe University where he was Head of Department.

Research Interests: Geoff works in differential geometry, differential equations and their application.

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**Ms. Brigitte Smith** (GBS Venture Partners)

Brigitte has twenty years’ experience in venture capital, business strategy and start-up company operations. She has been investing and managing investments for GBS’s $450m of life science specialised venture capital funds since 1998. Brigitte has a B. Chem Eng (Honours) from the University of Melbourne, and as a Fulbright Scholar completed a MBA (Honours) from the Harvard Business School and a MALD from the Fletcher School of Law and Diplomacy, both in Boston, USA.

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**Prof. Kate Smith-Miles** (Monash University)

Kate is an ARC Australian Research Council Laureate Fellow and Professor in the School of Mathematical Sciences at Monash University in Australia, where she was Head of School from 2009-2014. She is also the inaugural Director of MAXIMA (the Monash Academy for Cross and Interdisciplinary Mathematical Applications).

Research Interests: Kate has published 2 books on neural networks and data mining, and over 230 refereed journal and international conference papers in the areas of neural networks, optimisation, data mining, and various applied mathematics topics.

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**Prof. Peter Taylor **(Director ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS), University of Melbourne)

Peter is an Australian Laureate Fellow and Director of ACEMS.

Research Interests: Peter’s research interests lie in the fields of stochastic modelling and applied probability, with particular emphasis on applications in telecommunications, biological modelling, mechanism design, epidemiology, healthcare and disaster management. Recently he has become interested in the interaction of stochastic modelling with optimisation and optimal control under conditions of uncertainty.

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**Prof. Kari Vilonen** (University of Melbourne)

Kari is a Professor of Mathematics, also holding a full-time position at Northwestern University.

Research Interests: Geometric methods in representation theory and the Langlands program.

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**Prof. Ruth Williams** (University of California San Diego)

Ruth is a Distinguished Professor of Mathematics at the University of California, San Diego. She holds the Charles Lee Powell Chair in Mathematics I. She is an elected member of the US National Academy of Sciences and of the American Academy of Arts and Sciences. She served as President of the Institute of Mathematical Statistics in 2012.

Ruth studied Mathematics at the University of Melbourne where she earned her B. Sc. (Hons) and M.Sc. degrees in 1977 and 1979, respectively. She received her Ph.D. in Mathematics from Stanford University in 1983. She had a postdoc at Courant Institute before joining UCSD.

Research Interests: Ruth’s research interests are in probability theory, stochastic processes and their applications. Her current research is concerned with the analysis and control of stochastic networks which arise in applications such as high-tech manufacturing, telecommunications, computer systems, service systems and biochemical reaction networks.

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**Prof. David Wood** Director (Publications) (Monash University)

David is co-Director of MATRIX, and Professor and ARC Future Fellow in the Discrete Mathematics Research Group of the School of Mathematical Sciences at Monash University in Melbourne, Australia.

Research Interests: David’s research interests are in discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring, and combinatorial geometry.

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**Prof. Nick Wormald** (Monash University)

Nick is an Australian Research Council Laureate Fellow with the Department of Mathematical Sciences at Monash University.

Research Interests: Prof Wormald’s research interests include combinatorics; graph theory and random graphs; enumeration of graphs, maps and combinatorial structures; probabilistic combinatorics; combinatorial and graph algorithms; shortest networks and steiner trees; and underground mine optimisation.

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