Professor Joseph Grotowski

Head of School & Head of School, School of Mathematics and Physics

School of Mathematics and Physics

+61 7 336 53260

+61 7 336 53405

j.grotowski@uq.edu.au

Physics Annexe (06), Room 206

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Personal page

Professor Joseph Grotowski's personal page

Teaching and learning

Professor Grotowski teaches 3rd year mathematics

Researcher biography

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.

Publications

Book Chapter (1)

Journal Articles (34)

Conference Papers (2)

Working Paper (1)

Research Reports (2)

Book Chapter

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.

Journal Articles

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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

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

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

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.

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

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

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

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

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

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

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)19:12<991::AID-MMA810>3.0.CO;2-R

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

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

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

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

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

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

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

Conference Papers

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

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.

Working Paper

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.

Research Reports

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.

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.

Areas of research

Geometric and nonlinear analysis

Pure mathematics