Professor Joseph Grotowski
Professor

Joseph Grotowski

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Phone: 
+61 7 336 53260
Phone: 
+61 7 336 53405

Background

Professor Joseph Grotowski completed his Bachelor of Science with Honours in Mathematics at the Australian National University in 1985. He then moved to New York for postgraduate studies in Mathematics, and completed an MS in 1987 and a PhD in 1990 at the Courant Institute, NYU.

He held a number of positions in Germany, and completed his Habilitation at the Friedrich-Alexander Universitaet Erlangen-Nuernberg in 2001. He took up a position as an Associate Professor at the City College of New York of the City University of New York in 2003, and returned to Australia to take up a position as a Senior Lecturer at UQ in 2005. He was promoted to Associate Professor from 2010, and Full Professor from 2013.

His main research area is geometric and nonlinear partial differential equations.

He served as Head of the Mathematics Discipline from 1 January 2010 until 30 April 2014. From 1 May 2014 he has been Head of the School of Mathematics and Physics. As Head of School, he is responsible for ensuring that the School delivers a high standard of research and teaching, as well as engagement with the broader community, across our disciplines of mathematics, physics and statistics. He is also responsible for providing and fostering strategic leadership within the School, as well as for financial management of the School’s budget and management of the School’s resources.

He is a former Board Member of the Australian Mathematical Sciences Institute, and serves on the advisory Board of the MATRIX Research Insitute. He has been active in CSIRO Mathematicians in Schools for a number of years.

Availability

Professor Joseph Grotowski is:
Available for supervision
Media expert

Fields of research

Applied mathematics Pure mathematics

Qualifications

  • Bachelor of Science, Australian National University
  • Masters (Coursework) of Science, New York University
  • Doctor of Philosophy, New York University

Search Professor Joseph Grotowski’s works on UQ eSpace

40 works between 1991 and 2023
All (40) Journal Article (34) Book Chapter (1) Conference Publication (2) Other Outputs (3)

1 - 20 of 40 works

2023

Other Outputs

Discussion Paper: 2023-2030 Australian Cyber Security Strategy

Abeysooriya, Sasenka, Akhlaghpour, Saeed, Bongiovanni, Ivano, Dowsett, Dallas, Grotowski, Joseph, Holm, Mike, Kim, Dan, Ko, Ryan, Phillips, Andelka M., Slapnicar, Sergeja, Stockdale, David, Swinson, John, Thonon, Geoffroy, Utting, Mark, Walker-Munro, Brendan and Willoughby, Shannon (2023). Discussion Paper: 2023-2030 Australian Cyber Security Strategy. UQ CYBER and AUSCERT.

Discussion Paper: 2023-2030 Australian Cyber Security Strategy

2022

Journal Article

Explaining the competition between strength and toughness in perforated plates using computational finite fracture mechanics

Wegert, Zachary J., Challis, Vivien J., Grotowski, Joseph F. and Roberts, Anthony P. (2022). Explaining the competition between strength and toughness in perforated plates using computational finite fracture mechanics. Theoretical and Applied Fracture Mechanics, 122 103615, 1-12. doi: 10.1016/j.tafmec.2022.103615

Explaining the competition between strength and toughness in perforated plates using computational finite fracture mechanics

2019

Journal Article

Weak martingale solutions to the stochastic Landau–Lifshitz–Gilbert equation with multi-dimensional noise via a convergent finite-element scheme

Goldys, Beniamin, Grotowski, Joseph F. and Le, Kim-Ngan (2019). Weak martingale solutions to the stochastic Landau–Lifshitz–Gilbert equation with multi-dimensional noise via a convergent finite-element scheme. Stochastic Processes and their Applications, 130 (1), 232-261. doi: 10.1016/j.spa.2019.02.011

Weak martingale solutions to the stochastic Landau–Lifshitz–Gilbert equation with multi-dimensional noise via a convergent finite-element scheme

2014

Journal Article

High specific strength and stiffness structures produced using selective laser melting

Challis, Vivien J., Xu, Xiaoxue, Zhang, Lai Chang, Roberts, Anthony P., Grotowski, Joseph F. and Sercombe, Timothy B. (2014). High specific strength and stiffness structures produced using selective laser melting. Materials & Design, 63, 783-788. doi: 10.1016/j.matdes.2014.05.064

High specific strength and stiffness structures produced using selective laser melting

2014

Journal Article

High resolution topology optimization using graphics processing units (GPUs)

Challis, Vivien J., Roberts, Anthony P. and Grotowski, Joseph F. (2014). High resolution topology optimization using graphics processing units (GPUs). Structural and Multidisciplinary Optimization, 49 (2), 315-325. doi: 10.1007/s00158-013-0980-z

High resolution topology optimization using graphics processing units (GPUs)

2013

Other Outputs

A mathematics support program for first year engineering students

Hillock, Poh Wah, Roberts, Anthony, Grotowski, Joseph, Jennings, Michael, Kavanagh, Lydia and Scharschkin, Victor (2013). A mathematics support program for first year engineering students. Brisbane, QLD Australia: School of Mathematics and Physics, The University of Queensland.

A mathematics support program for first year engineering students

2012

Journal Article

Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimization

Challis, Vivien J., Guest, James K., Grotowski, Joseph F. and Roberts, Anthony P. (2012). Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimization. International Journal of Solids And Structures, 49 (23-24), 3397-3408. doi: 10.1016/j.ijsolstr.2012.07.019

Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimization

2012

Other Outputs

Developing a profile of student performance in large classes

Hillock, Poh Wah, Roberts, Anthony, Grotowski, Joseph, Jennings, Michael and Scharaschkin, Victor (2012). Developing a profile of student performance in large classes. Brisbane, QLD Australia: School of Mathematics and Physics, The University of Queensland.

Developing a profile of student performance in large classes

2011

Journal Article

Elastic moduli of sintered powders with application to components fabricated using selective laser melting

Roberts, A. P., Grayson, G., Challis, V. J., Zhang, L. C., Grotowski, J. F., Schaffer, G. B. and Sercombe, T. B. (2011). Elastic moduli of sintered powders with application to components fabricated using selective laser melting. Acta Materialia, 59 (13), 5257-5265. doi: 10.1016/j.actamat.2011.05.002

Elastic moduli of sintered powders with application to components fabricated using selective laser melting

2011

Journal Article

On radial solutions of the Schrodinger type equation

Chabrowski, Jan H. and Grotowski, Joseph F. (2011). On radial solutions of the Schrodinger type equation. Advanced Nonlinear Studies, 11 (2), 295-310. doi: 10.1515/ans-2011-0204

On radial solutions of the Schrodinger type equation

2010

Journal Article

Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabrication

Challis, VJ, Roberts, AP, Grotowski, JF, Zhang, LC and Sercombe, TB (2010). Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabrication. Advanced Engineering Materials, 12 (11), 1106-1110. doi: 10.1002/adem.201000154

Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabrication

2010

Journal Article

Kernel density estimation via diffusion

Botev, Z. I., Grotowski, J. F. and Kroese, D. P. (2010). Kernel density estimation via diffusion. Annals of Statistics, 38 (5), 2916-2957. doi: 10.1214/10-AOS799

Kernel density estimation via diffusion

2010

Journal Article

The influence of non-coaxiality on shear banding in viscous-plastic materials

Muhlhaus, Hans, Moresi, Louis, Gross, Lutz and Grotowski, Joseph (2010). The influence of non-coaxiality on shear banding in viscous-plastic materials. Granular Matter, 12 (3), 229-238. doi: 10.1007/s10035-010-0176-9

The influence of non-coaxiality on shear banding in viscous-plastic materials

2010

Conference Publication

The influence of non-coaxiality on shear banding in viscous-plastic materials

Muhlhaus, Hans B., Moresi, L., Gross, Lutz and Grotowski, Joseph (2010). The influence of non-coaxiality on shear banding in viscous-plastic materials. Scientific Conference on From Shear Bands to Rapid Flow, Monte Verita, Switzerland, 22-27 Februray, 2009. Berlin, Germany: Springer. doi: 10.1007/s10035-010-0176-9

The influence of non-coaxiality on shear banding in viscous-plastic materials

2007

Journal Article

Geometric evolution equations in critical dimensions

Grotowski, J. F. and Shatah, J. (2007). Geometric evolution equations in critical dimensions. Calculus of Variations and Partial Differential Equations, 30 (4), 499-512. doi: 10.1007/s00526-007-0100-2

Geometric evolution equations in critical dimensions

2006

Journal Article

Heat kernels in geometric evolution equations

Grotowski, Joseph F. (2006). Heat kernels in geometric evolution equations. Contemporary Mathematics, 398, 193-201.

Heat kernels in geometric evolution equations

2005

Journal Article

Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth

Duzaar, Frank, Grotowski, Joseph F. and Kronz, Manfred (2005). Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth. Annali Di Matematica Pura Ed Applicata, 184 (4), 421-448. doi: 10.1007/s10231-004-0117-5

Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth

2005

Journal Article

Removable singularities for p-harmonic maps: The subquadratic case

Gastel, Andreas, Grotowski, Joseph F. and Kronz, Manfred (2005). Removable singularities for p-harmonic maps: The subquadratic case. Advances in Geometry, 5 (3), 469-483. doi: 10.1515/advg.2005.5.3.469

Removable singularities for p-harmonic maps: The subquadratic case

2004

Journal Article

Minimizing conformal energies in homotopy classes

Grotowski, Joseph F. and Kronz, Manfred (2004). Minimizing conformal energies in homotopy classes. Forum Mathematicum, 16 (6), 841-864. doi: 10.1515/form.2004.16.6.841

Minimizing conformal energies in homotopy classes

2004

Journal Article

Partial and full boundary regularity for minimizers of functionals with nonquadratic growth

Duzaar, Frank, Grotowski, Joseph F. and Kronz, Manfred (2004). Partial and full boundary regularity for minimizers of functionals with nonquadratic growth. Journal of Convex Analysis, 11 (2), 437-476.

Partial and full boundary regularity for minimizers of functionals with nonquadratic growth

Past funding

  • 2022
    MATRIX: enhancing access to global research in the mathematical sciences (ARC LIEF administered by the University of Melbourne)
    University of Melbourne
    Open grant
  • 2017 - 2023
    Predicting strength of porous materials: A microstructure-based approach (ARC Discovery Project administered by the University of WA)
    University of Western Australia
    Open grant
  • 2014 - 2017
    Inspiring mathematics and science in teacher education
    OLT Enhancing the Training of Mathematics and Science Teachers Program (ETMST)
    Open grant
  • 2012 - 2014
    The mathematics of novel magnetic memory materials (ARC Discovery Project administered by Uni of Sydney)
    University of Sydney
    Open grant
  • 2011 - 2019
    Porous beta titanium bone implants optimised for strength and bio compatibility: design and fabrication
    University of Western Australia
    Open grant
  • 2011 - 2012
    Selective laser melting - an advanced manufacturing and physical modelling technology for the digital age (ARC LIEF Grant administered by UWA)
    ARC LIEF Collaborating/Partner Organisation Contributions
    Open grant
  • 2011 - 2012
    Manufacturing high strength-to-weight materials via topology optimization and solid freeform fabrication
    UWA-UQ Bilateral Research Collaboration Award
    Open grant
  • 2011
    New-generation parallel-computing cluster for the mathematical and physical sciences
    UQ Major Equipment and Infrastructure
    Open grant
  • 2009 - 2011
    The Influence of particle shape fragmentation and compaction on 3D hopper flow
    ARC Discovery Projects
    Open grant
  • 2008 - 2010
    Design and fabrication of custom titanium implant scaffolds produced by selective laser melting (ARC Discovery Project administered by The University of Western Australia)
    University of Western Australia
    Open grant
  • 2006 - 2008
    A new enabling technology for learning and teaching quantitative skills
    Carrick Competitive Grants
    Open grant
  • 2005 - 2007
    Nonlinear partial differential equations
    UQ New Staff Research Start-Up Fund
    Open grant

Availability

Professor Joseph Grotowski is:
Available for supervision

Before you email them, read our advice on how to contact a supervisor.

Available projects

  • The Keller Segel system and extensions

    This project relates to analytic aspects of a mathematical model for Chemotaxis.

  • Topology Optimisation

    We are currently working in an exciting new area of mathematics called Topology optimisation. Our aim is to develop the tools to optimize the shape and topology of porous and composite materials to perform specific tasks. In particular we have a current ARC Discovery grant that will provide funding for APA top-ups and research costs for projects relating to optimal design of bone implants. Specific projects involve research in a range of fields from applied mathematics, as well as computational science. There is also scope for projects with an emphasis on pure mathematics (geometric evolution equations).

    Projects to be supervised by me and/or Dr. Tony Roberts

Supervision history

Completed supervision

Enquiries

Contact Professor Joseph Grotowski directly for media enquiries about:

  • Differential geometry
  • Geometry
  • Mathematical analysis
  • Mathematics
  • Partial differential equations

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