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Research

Research Grants

Externally funded research projects commencing in 2017

NHMRC Project

  • Professor David James, Dr Jacky Stoeckli and Professor Jean Yang: Dissecting Rapamycin sensitive and insensitive effects of mTOR. (2017–2020: $1,100,00.)

ARC Discovery Projects

ARC Discovery Early Career Researchers

  • Dr Kevin Coulembier: Quasi-hereditary categories in Lie theory. (2017–2019: $360,000.)
  • Dr Zsuzsanna Dancso: Homological methods in combinatorics, algebra and geometry. (2017–2019: $360,000.)
  • Dr Pengyi Yang: Trans-omic networks. (2017–2019: $372,000.)

Externally funded research projects commencing in 2016

NHMRC Project

  • A/Prof Jean Yang: Statistical bioinformatics for network based prognostic and precision therapy in complex disease. (2016–2019: $463,652.)

ARC Future Fellowship

  • Dr Zhou Zhang: Comprehensive Study of Kahler-Ricci Flows. (2016–2019: $764,960.)

ARC Discovery Projects

  • Prof John Cannon and Prof Derek Holt: Composition algorithms for large matrix groups. (2016–2018: $305,500.)
  • Prof Nalini Joshi and Prof Kenji Kajiwara: Reflection groups and discrete dynamical systems. (2016–2018: $495,700.)
  • Dr Peter Kim and Prof Kristen Hawkes: Human longevity: Modelling social changes that propelled its evolution. (2016–2018: $396,338.)
  • Prof Gus Lehrer, Dr Anthony Henderson and Dr Geordie Williamson: Algebraic Schubert geometry and unitary reflection groups. (2016–2018: $519,300.)
  • A/Prof Mary Myerscough, A/Prof Charlie Macaskill and Dr Christina Bursill: Dynamics of atherosclerotic plaque formation, growth and regression. (2016–2018: $342,200.)
  • Dr Stephan Tillmann, Prof Joachim Rubinstein and A/Prof Craig Hodgson: Invariants, geometric and discrete structures on manifolds. (2016–2018: $334,000.)
  • Prof Beniamin Goldys, Prof Thanh Tran, Prof Zdzisław Brzeźniak, Prof Andreas Prohl, Prof Ernst Stephan and A/Prof Salim Meddahi: Novel Approaches for Problems with Uncertainties. (2016–2018: $329,377.)
ARC Discovery Early Career Researchers

  • Dr Andrew Papanicolaou: Solving non-Markov optimistisation problems using forward-backward stochastic differential equations. (2016–2018: $295,020.)

Externally funded research projects commencing in 2015

ARC Discovery Projects

  • Prof Gus Lehrer and Prof Ruibin Zhang: Symmetry via braiding, diagrammatics and cellularity. (2015: $130,000; 2016: $124,700; 2017: $130,000. 2018: $130,000. 2019: $130,000.)
  • Prof Andrew Mathas: The dimension problem for Hecke algebras. (2015: $135,000; 2016: $129,500; 2017: $135,000.)
  • Prof Alex Molev: Classical and affine \(W\)-algebras. (2015: $115,000; 2016: $114,000; 2017: $124,000.)
ARC Discovery Early Career Researchers

  • Dr Peter McNamara: Higher Representation Theory. (2015: $120,000; 2016: $120,000; 2017: $120,000.)
  • Dr Oded Yacobi: Quantum Groups and Categorification in Geometric Representation Theory. (2015: $110,000; 2016: $110,000; 2017: $110,000.)

Externally funded research projects commencing in 2014

ARC Discovery Projects

  • Prof Alan H Welsh and Dr Samuel Müller: Prediction, inference and their application to modelling correlated data. (2014: $117,000; 2015: $117,000; 2016: $117,000.)
  • Dr Stephan Tillmann: Moduli Spaces of Geometric Structures. (2014: $90,000; 2015: $110,000; 2016: $70,000.)
  • Ruibin Zhang: Super Duality and Deformations in the Representation Theory of Lie Superalgebras. (2014: $120,000; 2015: $120,000; 2016: $120,000.)
ARC Discovery Early Career Researchers

  • Dr Geoff Vasil: Computational geophysical and astrophysical fluid dynamics at the petascale. (2014: $110,540; 2015: $111,140; 2016: $111,140.)

ARC Future Fellowship

  • Leo Tzou, Inverse Problems for Partial Differential Equations—A Geometric Analysis Perspective. (2013: $85,240; 2014: $159,905; 2015: $148,085; 2016: $144,085; 2017: $70,665.)

Externally funded research projects commencing in 2013

ARC Discovery Projects

  • Prof JJ Cannon and Prof DF Holt: Constructive Representation Theory. (2013: $130,000; 2014: $137,000; 2015: $145,000.)
  • A/Prof S Yan, Prof EN Dancer and Prof Y Du: Singularity, degeneracy and related problems in nonlinear partial differential equations. (2013: $100,000; 2014: $100,000; 2015: $100,000.)
  • Prof N Joshi: Critical solutions of nonlinear systems. (2013: $110,000; 2014: $110,000; 2015: $110,000.)
  • Prof JH Rubinstein, A/Prof CD Hodgson and Dr S Tillmann: Triangulations in dimensions 3 and 4: discrete and geometric structures. (2013: $120,000; 2014: $120,000; 2015: $120,000.)
  • Prof A Ward, A/Prof MR Myerscough, Prof J Kruse and Dr J Buhl: Leadership matters: the emergence of informed leaders and their influence on group movement. (2013: $120,000; 2014: $130,000; 2015: $110,000.)
  • A/Prof Q Wang, Prof W Liu and Prof C Tudor: Asymptotics in non-linear cointegrating regression: theory and applications. (2013: $50,000; 2014: $60,000; 2015: $70,000.)
  • A/Prof J Yang, A/Prof S Müller and Prof GJ Mann: Vertically integrated statistical modelling in multi-layered omics studies. (2013: $130,000; 2014: $130,000; 2015: $130,000.)

ARC Discovery Early Career Researchers

  • Dr Sheehan OlverA new class of fast and reliable spectral methods for partial differential equations. (2013: $108,221; 2014: $106,655; 2015: $100,764.)
  • Dr John OrmerodScalable Bayesian model selection for massive data sets. (2013: $124,969; 2014: $121,789; 2015: $123,652.)

Australian Laureate Fellowship

  • Prof N Joshi: Geometric construction of critical solutions of nonlinear systems. (2012: $313,558; 2013: $632,847; 2014: $643,960; 2015: $653,644; 2016: $634,810; 2017: $305,837.)

ARC Future Fellowship

  • Dr Martin WechselbergerGeometric methods in mathematical physiology. (2012: $83,957; 2013: $167,914; 2014: $167,914; 2015: $167,914; 2016: $83,957.)

Externally funded research projects commencing in 2012

ARC Discovery Projects

  • Prof Maria Byrne, Dr Jean Y Yang, Prof Gregory A Wray: Heads or tails – which did echinoderms lose in the evolution of radial symmetry? (2012: $120,000; 2013: $110,000; 2014: $110,000.)
  • Dr Florica C CîrsteaAnalysis of nonlinear partial differential equations describing singular phenomena. (2012: $30,000; 2013: $30,000; 2014: $30,000.)
  • A/Prof Georg Gottwald, A/Prof Gary A Froyland: Extracting macroscopic variables and their dynamics in multiscale systems with metastable states. (2012: $90,000; 2013: $90,000; 2014: $90,000.)
  • Prof Gus Lehrer, Prof Ruibin Zhang: Quantised algebras, supersymmetry and invariant theory. (2012: $110,000; 2013: $110,000; 2014: $105,000.)
  • Prof Marek Rutkowski: Multi-person stochastic games with idiosyncratic information flows. (2012: $108,000; 2013: $117,000; 2014: $125,000.)

ARC Future Fellowship

  • Dr Anthony HendersonSpringer fibres, nilpotent cones and representation theory. (2011: $81,672; 2012: $166,281; 2013: $169,046; 2014: $164,106; 2015: $79,669.)

ARC Discovery Early Career Researcher

  • Dr Peter S KimMathematical modelling of breast cancer immunity: guiding the development of preventative breast cancer vaccines. (2012: $125,000; 2013: $125,000; 2014: $125,000.)

Go8 – Germany Joint Research Co-operation Scheme

  • Dr Benjamin Burton (Qld), Prof Michael Joswig (TU Darmstadt), Dr Andreas Paffenholz (TU Darmstadt), Dr Stephan TillmannAlgorithmic methods in combinatorial topology. (2012: $14,000; 2013: $14,000.)

Marsden Fund (NZ)

  • V.Kirk, J. Sneyd, H. Osinga, Dr Martin WechselbergerApplications of multiscale excitable systems to calcium dynamics and neuroscience. (2012–2014: $605,000.)

WUN Research Development Fund

  • B. Krauskopf, H. Osinga,V. Kirk, J. Sneyd, R. Bogacz, A. Randall, K. Tsaneva-Atanasova, Dr Martin WechselbergerMathematics of non-communicable diseases: understanding failure of cell signalling. (2012–2013: $50,000.)

Externally funded research projects commencing in 2011

ARC Discovery Projects

  • Dr James Atkinson: Algebraic interpretations of discrete integrable equations. (2011: $82,000; 2012: $82,000; 2013: $82,000.)
  • Prof E Norman Dancer: Stable and Finite Morse index solutions and peak solutions of nonlinear elliptic equations. (2011: $120,000; 2012: $120,000; 2013: $110,000.)
  • A/Prof Holger R Dullin, Prof Nalini Joshi: Geometry and analysis of discrete integrable systems. (2011: $100,000; 2012: $100,000; 2013: $100,000.)
  • Prof Gus Lehrer: Flag varieties and configuration spaces in algebra. (2011: $120,000; 2012: $120,000; 2013: $120,000.)
  • A/Prof Andrew Mathas, Prof Jonathan Brundan: Graded representations of Hecke algebras. (2011: $149,000; 2012: $130,000; 2013: $130,000.)
  • A/Prof Alexander I Molev: Vertex algebras and representations of quantum groups. (2011: $110,000; 2012: $110,000; 2013: $110,000.)
  • Dr James Parkinson, Asst Prof Joel Kamnitzer: The geometry and combinatorics of loop groups. (2011: $56,200.00 2012: $44,000; 2013: $43,000.)
  • Dr Anne C Thomas, Dr Inna A Capdeboscq: Lattices in locally compact groups. (2011: $73,185; 2012: $67,885; 2013: $74,285; 2014: $61,385.)
    Australian Postdoctoral Fellowship awarded to Dr Anne C Thomas.
  • Dr Benjamin A Burton, Dr Murray J Elder, Dr Stephan Tillmann: Generic complexity in computational topology: breaking through the bottlenecks. (2011: $85,000; 2012: $85,000; 2013: $85,000.)
  • Dr Martin Wechselberger, Prof Graeme J Pettet, Prof Christopher K Jones: A geometric theory for travelling waves in advection-reaction-diffusion models. (2011: $85,000; 2012: $85,000; 2013: $85,000.)
  • Dr Zhou Zhang: Topological and analytic aspects of the Kaehler-Ricci flow. (2011: $22,560.00; 2012: $22,560.00; 2013: $22,560.00.)
  • Prof Matt P Wand, Dr John T Ormerod, Prof Yongmei Michelle Wang: Fast approximate inference methods for flexible regression. (2011: $110,000; 2012: $110,000; 2013: $110,000.)
  • Prof Alan H Welsh, Dr Samuel Müller Building models for complex data. (2011: $130,000; 2012: $110,000; 2013: $110,000.)

Human Frontiers of Science Program

  • Dr Guy Lyons, Dr Silvio Gutkind, A/Prof Mary Myerscough: Cell cooperation in cancer. (2011: US$300,000; 2012: US$300,000; 2013: US$300,000.)

Externally funded research projects commencing in 2010

ARC Discovery Projects

  • Prof JJ Cannon, Dr DF Holt, Prof J Carlson: Constructive Module Theory for Algebras. (2010: $100,000; 2011: $100,000; 2012: $100,000.)
  • Dr C Ewald: Quantitative and qualitative aspects of Asian and Australian options. (2010: $50,000; 2011: $50,000; 2012: $50,000.)
  • A/Prof G Gottwald: Stochastic methods in mathematical geophysical fluid dynamics. (2010: $90,000; 2011: $100,000; 2012: $100,000; 2013: $55,000; 2014: $55,000.)
    Australian Research Fellowship awarded to Georg Gottwald.
  • Dr V Jayaswal: Statistical methods for analysing multi-source microarray data and building gene regulatory networks. (2010: $85,000; 2011: $83,000; 2012: $83,000.)
    Australian Postdoctoral Fellowship awarded to Dr V Jayaswal.
  • Dr L Paunescu: The canonical stratification of jet spaces. (2010: $50,000; 2011: $50,000; 2012: $50,000.)
  • Prof JH Rubinstein, A/Prof CD Hodgson, Dr S Tillmann: Triangulations in dimension three: algorithms and geometric structures. (2010: $120,000; 2011: $125,000; 2012: $100,000.)

ARC Linkage Project

  • A/Prof Holger Dullin, Damien Sinclair O'Meara and Peter Singh Surya:  Bodies in Space. (2010: $27,500.00; 2011: $55,000.00; 2012: $55,000.00; 2013: $27,500.00. New South Wales Institute of Sport.)

Externally funded research projects commencing in 2009

ARC Discovery Projects

  • Dr A Henderson: The geometry of exotic nilpotent cones. (2009: $20,000; 2010: $20,000.)
  • Prof N Joshi: Integrable Lattice Equations. (2009: $108,000; 2010: $80,000; 2011: $90,000.)
  • A/Prof A Mathas; Dr A Henderson: Pyramids and decomposition numbers for the symmetric and general linear groups. (2009: $98,000; 2010: $85,000; 2011: $78,000; 2012: $80,000; 2013: $87,000.)
    Australian Professorial Fellowship awarded to A/Prof Andrew Mathas.
  • Dr S Santra: Blow-up phenomena in semilinear elliptic partial differential equations. (2009: $69,000; 2010: $67,000; 2011: $67,000; 2012: $67,000.)
    Australian Postdoctoral Fellowship awarded to Sanjiban Santra.
  • A/Prof R Zhang: Noncommutative geometry in representation theory and quantum physics. (2009: $90,000; 2010: $90,000; 2011: $80,000; 2012: $90,000; 2013: $100,000.)
    Australian Professorial Fellowship awarded to A/Prof Ruibin Zhang.

ARC Future Fellowships

  • Dr Georg Gottwald: Stochastic Methods in Mathematical Geophysical Fluid Dynamics. (2009: $95,250; 2010: $185,650; 2011: $185,650; 2012: $185,650; 2013: $90,400.)
  • Dr Jean Yang: New statistical methods for identifying micro-ribonucleic acid (miRNA) regulatory networks. (2009: $80,800; 2010: $151,600; 2011: $151,600; 2012: $151,600; 2013: $70,800.)

ARC Linkage Project

  • Prof J George, Dr Jean Yang, Dr FC McKay, Dr V Suppiah; Dr DR Booth, Prof G Stewart, Dr M Bahlo: Functional Genomics to Predict and Enhance Response to Interferon. (2009: $145,000; 2010: $110,000; 2011: $115,000.)