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Professor Joseph Grotowski
Professor

Joseph Grotowski

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

Overview

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

Qualifications

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

Works

Search Professor Joseph Grotowski’s works on UQ eSpace

40 works between 1991 and 2023

21 - 40 of 40 works

2004

Journal Article

Book Review : Harmonic maps, conservation laws and moving frames / F. Helein

Grotowski, Joseph (2004). Book Review : Harmonic maps, conservation laws and moving frames / F. Helein. Jahresbericht der Deutschen Mathematiker-Vereinigung (196), 3-5.

Book Review : Harmonic maps, conservation laws and moving frames / F. Helein

2003

Book Chapter

Optimal regularity results via A-harmonic approximation

Duzaar, F., Grotowski, J. and Steffen, K. (2003). Optimal regularity results via A-harmonic approximation. Geometric analysis and nonlinear partial differential equations. (pp. 265-296) edited by S. Hildebrandt and H. Karcher. Berlin: Springer Verlag.

Optimal regularity results via A-harmonic approximation

2002

Journal Article

Boundary regularity for nonlinear elliptic systems

Grotowski, J. F. (2002). Boundary regularity for nonlinear elliptic systems. Calculus of Variations And Partial Differential Equations, 15 (3), 353-388. doi: 10.1007/s005260100131

Boundary regularity for nonlinear elliptic systems

2002

Journal Article

Boundary Regularity for quasilinear elliptic systems

Grotowski, Joseph F. (2002). Boundary Regularity for quasilinear elliptic systems. Communications In Partial Differential Equations, 27 (11-12), 2491-2512. doi: 10.1081/PDE-120016165

Boundary Regularity for quasilinear elliptic systems

2001

Journal Article

Finite time blow-up for the Yang-Mills heat flow in higher dimensions

Grotowski, J. F. (2001). Finite time blow-up for the Yang-Mills heat flow in higher dimensions. Mathematische Zeitschrift, 237 (2), 321-333. doi: 10.1007/PL00004871

Finite time blow-up for the Yang-Mills heat flow in higher dimensions

2001

Journal Article

On the Gribov copy problem for the Coulomb gauge

Grotowski, J. F. and Schirmer, P. P. (2001). On the Gribov copy problem for the Coulomb gauge. Communications In Mathematical Physics, 216 (1), 179-193. doi: 10.1007/s002200000337

On the Gribov copy problem for the Coulomb gauge

2001

Journal Article

Asymptotic behavior of, small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfaces

Grotowski, J. F., Huntley, J. and Jorgenson, J. (2001). Asymptotic behavior of, small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfaces. Forum Mathematicum, 13 (6), 729-740. doi: 10.1515/form.2001.031

Asymptotic behavior of, small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfaces

2001

Journal Article

Optimal partial regularity for nonlinear elliptic systems of higher order

Duzaar, F., Gastel, A. and Grotowski, J. F. (2001). Optimal partial regularity for nonlinear elliptic systems of higher order. Journal of Mathematical Sciences, 8, 463-499.

Optimal partial regularity for nonlinear elliptic systems of higher order

2000

Journal Article

Optimal interior partial regularity for nonlinear elliptic systems: the method of A-harmonic approximation

Duzaar, F and Grotowski, JF (2000). Optimal interior partial regularity for nonlinear elliptic systems: the method of A-harmonic approximation. Manuscripta Mathematica, 103 (3), 267-298. doi: 10.1007/s002290070007

Optimal interior partial regularity for nonlinear elliptic systems: the method of A-harmonic approximation

2000

Journal Article

Partial regularity for almost minimizers of quasi-convex integrals

Duzaar, F., Gastel, A. and Grotowski, J. F. (2000). Partial regularity for almost minimizers of quasi-convex integrals. Siam Journal On Mathematical Analysis, 32 (3), 665-687. doi: 10.1137/S0036141099374536

Partial regularity for almost minimizers of quasi-convex integrals

2000

Journal Article

Existence and regularity for higher-dimensional H-systems

Duzaar, F and Grotowski, JF (2000). Existence and regularity for higher-dimensional H-systems. Duke Mathematical Journal, 101 (3), 459-485. doi: 10.1215/S0012-7094-00-10133-0

Existence and regularity for higher-dimensional H-systems

1996

Journal Article

On variational models for quasi-static Bingham fluids

Fuchs, M, Grotowski, JF and Reuling, J (1996). On variational models for quasi-static Bingham fluids. Mathematical Methods in the Applied Sciences, 19 (12), 991-1015. doi: 10.1002/(SICI)1099-1476(199608)19:123.0.CO;2-R

On variational models for quasi-static Bingham fluids

1996

Journal Article

Partial and full regularity for restricted classes of p-harmonic maps

Grotowski, JF (1996). Partial and full regularity for restricted classes of p-harmonic maps. Nonlinear Analysis-Theory Methods & Applications, 26 (3), 429-442. doi: 10.1016/0362-546X(94)00288-S

Partial and full regularity for restricted classes of p-harmonic maps

1996

Journal Article

A mixed boundary value problem for energy minimizing harmonic maps

Duzaar, F and Grotowski, JF (1996). A mixed boundary value problem for energy minimizing harmonic maps. Mathematische Zeitschrift, 221 (1), 153-167. doi: 10.1007/PL00004503

A mixed boundary value problem for energy minimizing harmonic maps

1995

Journal Article

On Various Classes of Harmonic Maps

Grotowski, JF, Shen, Y and Yan, S (1995). On Various Classes of Harmonic Maps. Archiv der Mathematik, 64 (4), 353-358. doi: 10.1007/BF01198092

On Various Classes of Harmonic Maps

1994

Journal Article

Energy Minimizing Harmonic Maps with An Obstacle At the Free-Boundary

Duzaar, F and Grotowski, JF (1994). Energy Minimizing Harmonic Maps with An Obstacle At the Free-Boundary. Manuscripta Mathematica, 83 (3-4), 291-314. doi: 10.1007/BF02567615

Energy Minimizing Harmonic Maps with An Obstacle At the Free-Boundary

1993

Journal Article

Finite-Time Blow-Up for the Harmonic Map Heat-Flow

Grotowski, JF (1993). Finite-Time Blow-Up for the Harmonic Map Heat-Flow. Calculus of Variations and Partial Differential Equations, 1 (2), 231-236. doi: 10.1007/BF01191618

Finite-Time Blow-Up for the Harmonic Map Heat-Flow

1993

Journal Article

Concentrated Boundary Data and Axially-Symmetrical Harmonic Maps

Grotowski, JF (1993). Concentrated Boundary Data and Axially-Symmetrical Harmonic Maps. Journal of Geometric Analysis, 3 (3), 279-292. doi: 10.1007/BF02921394

Concentrated Boundary Data and Axially-Symmetrical Harmonic Maps

1991

Journal Article

Harmonic Map Heat-Flow for Axially Symmetrical Data

Grotowski, JF (1991). Harmonic Map Heat-Flow for Axially Symmetrical Data. Manuscripta Mathematica, 73 (2), 207-228. doi: 10.1007/BF02567639

Harmonic Map Heat-Flow for Axially Symmetrical Data

1991

Conference Publication

Heat-Flow for Harmonic Maps

Grotowski, JF (1991). Heat-Flow for Harmonic Maps. Nato Advanced Research Workshop On Defects, Singularities and Patterns in Nematic Liquid Crystals : Mathematical and Physical Aspects, Orsay France, May 28-Jun 01, 1990. DORDRECHT: KLUWER ACADEMIC PUBL.

Heat-Flow for Harmonic Maps

Funding

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

Supervision

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

Media

Enquiries

Contact Professor Joseph Grotowski directly for media enquiries about:

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

Need help?

For help with finding experts, story ideas and media enquiries, contact our Media team:

communications@uq.edu.au