
Joseph Grotowski
- Email:
- j.grotowski@uq.edu.au
- 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
Fields of research
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
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.
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.
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
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
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
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
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
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.
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
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
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
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
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
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
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
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
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
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
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
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.
Funding
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
-
2016
Doctor Philosophy
Regularity Results for Nonlinear Elliptic Systems
Principal Advisor
Other advisors: Professor Ole Warnaar
-
2016
Doctor Philosophy
Critical O(d)-Equivariant Biharmonic Maps
Principal Advisor
-
2022
Doctor Philosophy
Mathematical analysis on the Oseen-Frank model and the Landau-de Gennes model in nematic liquid crystals
Associate Advisor
Other advisors: Associate Professor Min-Chun Hong
-
2019
Doctor Philosophy
A degree-theoretic approach to geometric equations on manifolds with symmetries
Associate Advisor
Other advisors: Professor Jorgen Rasmussen, Professor Artem Pulemotov
-
2017
Doctor Philosophy
Synchronisation of Nanomechanical Oscillators
Associate Advisor
Other advisors: Associate Professor Cecilia Gonzalez Tokman
-
2016
Doctor Philosophy
The Bianchi Identity and the Ricci Curvature Equation
Associate Advisor
Other advisors: Professor Artem Pulemotov
-
2014
Doctor Philosophy
Existence results in nonlinear ordinary differential equations: boundary value problems
Associate Advisor
-
2014
Doctor Philosophy
Existence results for boundary value problems for ordinary differential equations and difference equations
Associate Advisor
-
2011
Doctor Philosophy
Maxwell's Equations in a Quasi-static Electromagnetic Field and the Generalized Ginzburg-Landau Functional: Regularity and Asymptotic Behavior
Associate Advisor
Other advisors: Associate Professor Min-Chun Hong
-
2010
Doctor Philosophy
Seiberg-Witten flow
Associate Advisor
Other advisors: Associate Professor Min-Chun Hong
-
2010
Doctor Philosophy
The generalized splitting method for combinatorial counting and static rare-event probability estimation
Associate Advisor
Other advisors: Professor Dirk Kroese
-
2007
Doctor Philosophy
EXISTENCE OF SOLUTIONS TO CONTINUOUS AND DISCRETE BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF FIRST-ORDER EQUATIONS
Associate Advisor
Media
Enquiries
Contact Professor Joseph Grotowski directly for media enquiries about:
- Differential geometry
- Geometry
- Mathematical analysis
- Mathematics
- Partial differential equations
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