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- Workshop on Metastability and the Climate Crisis, Newton Institute, Cambridge, August 2026.
- Workshop on Random Dynamical Systems, PDEs, and Stochastic Analysis, Brin Mathematics Research Center, University of Maryland, 21-25 July, 2025.
- Workshop on Probability and Dynamical Systems, Matrix Research Centre, Creswick, 28 April - 2 May 2025.
- Workshop on Data-driven dynamics, Centre de recherches mathématiques (CRM), Montreal, 11-15 November 2024.
- DinAmicI in Rio, Dynamics, Applications, Interactions, Institute of Pure and Applied Mathematics (IMPA), Rio de Janeiro, 2-6 September 2024.
- School on Probabilistic Aspects of Hyperbolic Dynamical Systems, Lecturer, Erdos Center, Budapest, 12-16 August 2024.
- International Congress on Industrial and Applied Mathematics (ICIAM), Invited Speaker, Tokyo, 20-25 August 2023.
- Workshop on Transport and Scale Interactions in Geophysical Flows, Oberwolfach, 16-22 July 2023.
- Workshop on Regular and Stochastic Behaviour in Dynamical Systems, Centro De Giorgi, 5-9 June 2023.
- Workshop on Real Algebraic Geometry with a View toward Koopman Operator Methods, Oberwolfach, 12-18 March 2023.
- International Workshop on Ergodic Theory, Dynamical Systems, and Climate Sciences, Sapporo, 6-10 March 2023.
- Workshop on Machine Learning for Climate and Weather Applications, Institute for Mathematical and Statistical Innovation (iMSi), Chicago, 31 Oct - 4 Nov, 2022.
- Workshop on Probabilistic techniques for random and time-dependent dynamical systems, CIRM (Marseille), 3-7 October 2022.
- Workshop on Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond, IPAM UCLA, 29 August-2 September 2022.
- 7th International Conference on Random Dynamical Systems, Hanoi, 21-25 June 2022.
- One World Dynamics Seminar (Virtual), 9 July 2021.
- Workshop on Transfer Operators: Beyond Smooth or Uniformly Hyperbolic Systems, Bernoulli Center (CIB-EPFL), Lausanne, 7-11 June, 2021 (Cancelled).
- International Conference on One-Parameter Semigroups of Operators (OPSO) 2021, Keynote Speaker, Nizhny Novgorod, 5-9 April, 2021.
- DinAmicI Seminar (Dynamics Group in the Italian Mathematical Union), 4 February 2021.
- Workshop on Linear Response: Rigorous Results and Applications, Bernoulli Center (CIB-EPFL), Lausanne, 25-29 January 2021.
- Centre de Recherches Mathematiques Seminar in Computer-Assisted Mathematical Proofs in Nonlinear Analysis, Montreal, 3 November 2020.
- SIAM Conference on Mathematics of Planet Earth, Keynote Speaker, Los Angeles, 5-8 June 2020.
- Workshop on Response Theory and its Applications in Geophysical Fluid Dynamics, Institut Henri Poincaré, Paris, 14-16 October 2019.
- Workshop on Nonlinear and Stochastic Methods in Climate and Geophysical Fluid Dynamics, Institute Henri Poincaré, Paris, 7-11 October, 2019.
- Equadiff 2019, Keynote Speaker, Leiden, July 2019.
- Thermodynamic Formalism: Ergodic Theory and Validated Numerics, CIRM Luminy, 8-12 July 2019.
- Workshop on Operator Theoretic Methods in Dynamic Data Analysis and Control, IPAM UCLA, Feburary 2019.
- Workshop on Stochastic Dynamical Systems Appraoches to Fluid Flow Transitions, IUTAM Cornell, September 2018.
- Workshop on Set Oriented Numerics, University of California Santa Barbara, September 2017.
- SIAM Conference on Applications of Dynamical Systems, Keynote Speaker, Snowbird, May 2017.
- Workshop on Ergodic Theory, Algorithms and Rigorous Computations, Mathematics Institute, Warwick, April 2017.
- Scaling Cascades in Complex Systems, Keynote Speaker, Free University Berlin, March 2017.
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- Elected Member of the Academia Europaea (2024)
- ARC Laureate Fellowship (2024-2029)
- Einstein Visiting Fellow, Einstein Foundation Berlin (2022-2024)
- Fellow of the Society for Industrial and Applied Mathematics (SIAM) (2021)
- Fellow of the Australian Academy of Science (2020)
- Fellow of the Royal Society of New South Wales (2019)
- Fellow of the Australian Mathematical Society (2017)
- John von Neumann Visiting Professorship, Technische Universität München (2016)
- Visiting Scholar, Initiative d’Excellence de l’université de Bordeaux (2016)
- Vice-Chancellor’s Award for Teaching Excellence - Postgraduate Research Supervision (2015)
- Erskine Visiting Fellowship, University of Canterbury (2013)
- ARC Future Fellowship (2012-2015)
- John Yu Fellowship to Europe, UNSW (2006)
- BHP Billiton Innovation Prize (2004)
- Australian Academy of Sciences / Japan Society for the Promotion of Science Fellowship (1997-99)
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- Editor-in-Chief of the Australian Mathematical Society Lecture Series
- Editorial Board of SIAM Journal on Applied Dynamical Systems
- Editorial Board of Physica D
- Editorial Board of Stochastics and Dynamics
- Editorial Board of the Journal of Computational Dynamics
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- ARC Laureate Fellowship (2023-2028) "Breakthrough mathematics for dynamical systems and data"
- ARC Discovery Project (2022-2024) "Which predictions can I trust? Stability of chaotic random dynamical systems" (with C. Gonzalez-Tokman and A. Quas)
- ARC Discovery Project (2021-2023) "Modern mathematics to unravel the birth of coherence in dynamical systems"
- Universities Australia - Germany Joint Research Co-operation Scheme (2020-2021): "How does turbulence work?" (with P. Koltai)
- ARC Discovery Project (2018-2020) "New mathematics for quantification and assessment of fluctuations and extremes in time-dependent dynamical systems" (with C. Gonzalez-Tokman, S. Vaienti, and E. van Sebille)
- NHMRC Project Grant (2018-2020) "Very fast, accurate and low dose imaging for radiotherapy treatments" (with R. O’Brien, J-J. Sonke, S. Vinod, and C-C. Shieh)
- Cancer Australia (2017-2019): "High Precision Radiotherapy: Dual Cardiac and Respiratory Motion Management" (with R. O'Brien, J. Booth, P. Bannon, and F. Hegi-Johnson)
- Universities Australia-Germany Joint Research Co-operation Scheme (2017-2018): "Robust detection and prediction of coherent structures in geophysical, physical, and chemical systems" (with O. Junge)
- Cancer Australia (2015-2017): "Reducing thoracic imaging dose and improving image quality in radiotherapy treatments" (with R. O'Brien and J-J. Sonke)
- ARC Discovery Project (2015-2017): "Discovery and tracking of coherent structures in geophysical flows" (with M. Dellnitz, O. Junge, and A. Quas)
- ARC Future Fellowship (2012-2015): "A probabilistic and geometric understanding of transport and metastability in mathematical geophysical flows"
- ARC Discovery Project (2012-2014): "Extracting macroscopic variables and their dynamics in multiscale systems with metastable states" (with G. Gottwald)
- ARC Discovery Project (2011-2013): "Innovative mathematics using transfer operators to reveal hidden ordered structures in geophysical flows" (with M. Dellnitz and A. Quas)
- Go8-Germany Joint Research Co-operation Scheme (2011-2012): "The climatic and environmental impacts of ocean circulation: tracking ocean eddies" (with M. Dellnitz)
- Chief Investigator (2008-2013), ARC Centre of Excellence for Mathematics and Statistics of Complex Systems.
- ARC Discovery Project (2007-2009): "A Dynamical Systems Approach to Mapping Southern Ocean Circulation Pathways" (with M. Dellnitz and A. Treguier)
- 2006 John Yu Fellowship to Europe
- ARC Linkage Project (2005-2007): "A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand" (with N.Boland).
- ARC Linkage Project (2003-2004): "Using Mathematics to Maximise the Value of Open Pit Mines" (with N. Boland and P. Taylor)
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- Operator Methods for Dynamical Systems, Newton Institute, Cambridge, 2027.
- Statistical Properties and Extremes in Dynamical Systems, 19-30 January 2026, MATRIX Mathematical Research Institute, Australia.
- SIAM Conference on Applications of Dynamical Systems, 14-18 May 2023, Portland, USA. (Organising Committee).
- Thermodynamic Formalism for Random Dynamical Systems, 9-20 January 2023, MATRIX Mathematical Research Institute, Australia.
- International Workshop on Dynamics, Optimization, and Computation, 26-30 September 2022, Paderborn, Germany.
- Transport in Unsteady Flows: from Deterministic Structures to Stochastic Models and Back Again, 15-20 January 2017, Banff International Research Station.
- Advances in Ergodic Theory, Hyperbolic Dynamics, and Statistical Laws (MathsFest 2016), 28 Nov - 2 Dec, University House, ANU.
- 5th International workshop on Set Oriented Numerics, September 1-5 2014 University of Canterbury, Christchurch, New Zealand.
- 4th International Workshop on Set-Oriented Numerics, 29 September-2 October 2013, TU Dresden.
- Ergodic Theory and Transfer Operators, Focussed Research Group, Centro de Investigacion en Matematicas, 12-16 August 2013, Guanajuato, Mexico.
- International Workshop on Set-Oriented Numerics in Dynamical Systems , 3-6 September 2012, UNSW, Sydney.
- Open Dynamical Systems: Ergodic Theory, Probabilistic Methods and Applications, 8-13 April 2012, Banff International Research Station.
- New methods for analysing metastable structures in closed, open or non-autonomous dynamical systems, Focussed Research Group, 23-30 October, 2011, Banff International Research Station.
- Discrete Optimization Workshop on Applications in Transport, Logistics, and Networks, 12-15 October, 2010, UNSW, Sydney.
- 1st Pacific Rim Mathematical Association (PRIMA) Congress, 6-10 July 2009, UNSW, Sydney.
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- The Sydney Dynamics Group hosts a fortnightly seminar series held jointly between UNSW and the University of Sydney.
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- External Funding (Defence Science and Technology Organisation). "Scheduling of amphibious operations and efficient ship packing".
- External Funding (NSW Department of Crime Research and Statistics). "Prison populations and correctional outlays: The effect of reducing re-imprisonment" (with Don Weatherburn)
- External Funding (Hunter Valley Coal Chain Logistics Team): "Increasing Throughput at Newcastle Port" (with P. Pudney)
- External Funding (Patrick Corporation): "Increasing Container Handling Efficiency at Port Botany" (with MASCOS -- UNSW & UniMelb, and Matheon)
- External Funding (BHP Billiton): "Mine Modelling, Optimization, and Valuation"